Netflix Content Longevity & Global Reach

Author

Team Trusting Panda
Steven Xie, Ziqing Yang, Simon Yan, Xinyi Wang

Introduction

Netflix invests billions of dollars annually in content acquisition and production, yet not all titles deliver equal long-term value. While some films generate massive viewership at launch only to fade within weeks, others quietly sustain engagement for years. Understanding which types of content transition into “evergreen” catalog assets — and whether strategic decisions like global distribution amplify engagement — is critical for optimizing content investment.

This project analyzes Netflix Engagement Reports spanning late 2023 through mid-2025, covering over 36,000 movie records and 27,000 show records across four reporting periods. The dataset includes key variables such as hours_viewed, release_date, available_globally, and runtime, sourced from the TidyTuesday Netflix dataset.

We investigate two research questions:

  1. How do post-release “hype curves” differ across genres and languages? Do viewing hours follow a predictable decay? Which genres are most resilient over time?
  2. Is global availability associated with higher engagement? Does worldwide release independently predict stronger viewership after adjusting for exposure time?

Question 1: How do post-release hype curves differ across genres and languages?

Introduction

This section explores the longevity of Netflix films by tracking their “hype curves” — the trajectory of viewing hours as a title ages. Rather than relying on a single snapshot in time, we utilize longitudinal data spanning four reporting periods (from late 2023 to mid-2025). We aim to determine if viewing hours follow a predictable decay curve and whether certain officially designated genres or languages demonstrate higher resilience. This question is compelling because it shifts the focus from short-term hit-making to long-term catalog value, revealing what types of content successfully transition into “evergreen” assets that sustain subscriber retention.

Approach

To achieve a robust longitudinal analysis, we first align all movies onto a standardized temporal axis. We calculate periods_since_release by measuring the time gap between a film’s release date and the end of each reporting period. This allows us to compare a movie released in 2021 with one released in 2023 at the exact same point in their lifecycles.

To overcome the severe inaccuracies of keyword-based genre guessing, we implement an automated pipeline using the OMDb (Open Movie Database) API. We extract the official Genre and Language metadata for a sample of the top 500 most-watched movies across our dataset.

We use two line plots with LOESS smoothing to visualize the decay trajectories. The x-axis represents the 6-month periods since release, and the y-axis uses a log-transformed scale for hours viewed to handle the massive variance between blockbusters and standard titles. The first plot facets the decay curves by primary genre, while the second compares English vs. Non-English content.

Analysis

The following code processes the movie dataset, fetches genre/language metadata from OMDB, and builds the longitudinal dataset for analysis.

# 1. Define report end dates to calculate the exact age of content
report_dates <- tibble(
  report = c("2023Jul-Dec", "2024Jan-Jun", "2024Jul-Dec", "2025Jan-Jun"),
  report_end_date = ymd(c(
    "2023-12-31",
    "2024-06-30",
    "2024-12-31",
    "2025-06-30"
  ))
)

# 2. Extract the top 500 unique movies by total viewership
top_movies_list <- movies %>%
  group_by(title) %>%
  summarize(total_hours = sum(hours_viewed, na.rm = TRUE)) %>%
  slice_max(total_hours, n = 500) %>%
  pull(title)

# 3. OMDB API Function
get_omdb_metadata <- function(movie_title, api_key = "d0d3ea01") {
  query_url <- paste0(
    "http://www.omdbapi.com/?t=",
    URLencode(movie_title),
    "&apikey=",
    api_key
  )
  response <- tryCatch(GET(query_url), error = function(e) NULL)

  if (!is.null(response) && status_code(response) == 200) {
    data <- fromJSON(content(response, as = "text", encoding = "UTF-8"))
    if (data$Response == "True") {
      primary_genre <- str_split(data$Genre, ",")[[1]][1]
      primary_lang <- str_split(data$Language, ",")[[1]][1]
      return(tibble(
        title = movie_title,
        genre = primary_genre,
        language = primary_lang
      ))
    }
  }
  return(tibble(title = movie_title, genre = NA, language = NA))
}

# 4. API Caching Logic
cache_file <- "data/omdb_cache.rds"

if (file.exists(cache_file)) {
  omdb_data <- read_rds(cache_file)
} else {
  omdb_data <- map_dfr(top_movies_list, get_omdb_metadata) %>%
    filter(!is.na(genre))
  write_rds(omdb_data, cache_file)
}

# 5. Build the final longitudinal dataset
q1_longitudinal_data <- movies %>%
  inner_join(omdb_data, by = "title") %>%
  left_join(report_dates, by = "report") %>%
  mutate(
    months_active = time_length(
      interval(release_date, report_end_date),
      "months"
    ),
    periods_since_release = ceiling(months_active / 6),
    language_group = if_else(
      str_detect(language, "English"),
      "English",
      "Non-English"
    )
  ) %>%
  filter(periods_since_release > 0, periods_since_release <= 10) %>%
  filter(genre %in% c("Action", "Animation", "Comedy", "Drama"))

Plot 1: Viewership Decay Curves by Genre

ggplot(q1_longitudinal_data, aes(x = periods_since_release, y = hours_viewed)) +
  geom_jitter(alpha = 0.15, width = 0.2, color = "grey50") +
  geom_smooth(
    aes(color = genre, fill = genre),
    method = "loess",
    se = TRUE,
    alpha = 0.2,
    linewidth = 1.2
  ) +
  scale_y_log10(labels = label_number(scale_cut = cut_short_scale())) +
  scale_x_continuous(breaks = 1:10, labels = paste0("P", 1:10)) +
  facet_wrap(~genre, ncol = 2) +
  labs(
    title = "Content Longevity: Viewership Decay Curves by Genre",
    subtitle = "Tracking top titles over 6-month periods post-release (P1 = first 6 months)",
    x = "Periods Since Release",
    y = "Hours Viewed (Log Scale)",
    color = "Genre",
    fill = "Genre"
  ) +
  theme_minimal(base_size = 13) +
  theme(legend.position = "none", panel.grid.minor = element_blank())

Plot 2: English vs. Non-English Decay Rates

ggplot(
  q1_longitudinal_data,
  aes(x = periods_since_release, y = hours_viewed, color = language_group)
) +
  geom_smooth(
    method = "loess",
    se = TRUE,
    alpha = 0.15,
    linewidth = 1.5,
    aes(fill = language_group)
  ) +
  scale_y_log10(labels = label_number(scale_cut = cut_short_scale())) +
  scale_x_continuous(breaks = 1:10, labels = paste0("P", 1:10)) +
  labs(
    title = "The Language Factor: English vs. Non-English Decay Rates",
    x = "Periods Since Release",
    y = "Hours Viewed (Log Scale)",
    color = "Language",
    fill = "Language"
  ) +
  theme_minimal(base_size = 13) +
  theme(legend.position = "bottom")

Discussion

The longitudinal analysis reveals a universal “hype curve” across all content, where viewership peaks during the first six months (Period 1) and sharply declines by Period 3. However, the long-term endurance of these titles is heavily dependent on their genre. Action and Comedy experience a rapid drop and settle into a flat baseline, suggesting they rely heavily on upfront novelty and marketing. In stark contrast, Animation demonstrates a unique resurgence between Periods 6 and 8. This measurable “second wind” confirms that family-oriented animated features possess high re-watchability, functioning as true evergreen assets that continually draw engagement years after their initial release.

When examining the language factor, a distinct disparity in long-term catalog value emerges. English-language content not only captures a higher initial peak but also settles into a remarkably stable, predictable baseline from Period 4 onwards, acting as the structural backbone of Netflix’s retention strategy. Conversely, Non-English titles suffer a steeper initial decay and exhibit extreme volatility in later periods, as evidenced by the drastically widening confidence intervals. This indicates that while the platform can successfully launch international hits, the long-term endurance of Non-English content is highly inconsistent and driven primarily by rare outliers rather than a reliable catalog floor.

Question 2: Is global availability associated with higher engagement?

Introduction

This section explores whether global availability is associated with higher engagement on Netflix. We focus on the relationship between available_globally and engagement metrics such as hours_viewed. Since older titles have had more time to accumulate engagement, we adjust for timing using release_date.

To reduce exposure bias, we calculate months_since_release and create a time-adjusted metric, normalized_hours, defined as hours viewed divided by months since release. Movies and shows are analyzed separately because their viewing structures differ: films are typically consumed in a single session, while series involve multiple episodes and longer engagement cycles.

This question is important because global distribution is a strategic decision. If globally available titles consistently perform better, it suggests that worldwide release plays a meaningful role in driving engagement.

Approach

We utilize two distinct visualization strategies. First, a faceted boxplot compares the distribution of time-adjusted engagement (normalized_hours) between globally available and regionally restricted titles. By faceting by content type, we can observe whether the effect of global availability differs between movies and shows. A log scale is essential because engagement levels are highly right-skewed.

Second, a scatter plot examines the relationship between runtime and normalized engagement, with color mapping based on available_globally. While the boxplot is superior for comparing group summaries, the scatter plot excels at showing patterns across continuous variables. This combination allows us to see both overall engagement differences and how global distribution relates to performance across runtime ranges.

Finally, we estimate the marginal effect of global availability using a regression model (normalized_hours ~ available_globally + runtime + months_since_release), fitted separately for movies and shows, to determine whether global availability independently predicts engagement after controlling for exposure time and content length.

Analysis

First, we create the time-related variables needed for normalization.

movies_q2 <- movies %>%
  mutate(
    report_end = ymd("2025-06-30"),
    months_since_release = interval(release_date, report_end) %/% months(1),
    normalized_hours = hours_viewed / months_since_release
  ) %>%
  filter(months_since_release > 0)

shows_q2 <- shows %>%
  mutate(
    report_end = ymd("2025-06-30"),
    months_since_release = interval(release_date, report_end) %/% months(1),
    normalized_hours = hours_viewed / months_since_release
  ) %>%
  filter(months_since_release > 0)

movies_q2$content_type <- "Movie"
shows_q2$content_type <- "Show"
combined_q2 <- bind_rows(movies_q2, shows_q2)

Plot 1: Distribution of Time-Adjusted Engagement

We compare the distribution of normalized_hours between globally available and regionally restricted titles. A log scale is applied because engagement is highly right-skewed.

ggplot(
  combined_q2,
  aes(x = available_globally, y = normalized_hours, fill = available_globally)
) +
  geom_boxplot(outlier.alpha = 0.1) +
  scale_y_log10(labels = label_number(scale_cut = cut_short_scale())) +
  facet_wrap(~content_type) +
  labs(
    title = "Time-Adjusted Engagement by Global Availability",
    x = "Available Globally",
    y = "Normalized Hours (Log Scale)"
  ) +
  theme_minimal(base_size = 13) +
  theme(legend.position = "none")

Plot 2: Normalized Engagement vs Runtime

We examine whether globally available titles show higher normalized engagement across different runtime ranges.

ggplot(combined_q2, aes(x = runtime, y = normalized_hours, color = available_globally)) +
  geom_point(alpha = 0.15, size = 0.8) +
  scale_y_log10(labels = label_number(scale_cut = cut_short_scale())) +
  facet_wrap(~content_type) +
  labs(
    title = "Normalized Engagement vs Runtime by Global Availability",
    x = "Runtime (Minutes)",
    y = "Normalized Hours (Log Scale)",
    color = "Availability"
  ) +
  theme_minimal(base_size = 13) +
  theme(legend.position = "bottom")

Regression Analysis

We estimate the marginal contribution of global availability after controlling for exposure time and runtime. Separate models are fitted because the engagement structure of films and series differs substantially.

model_movies <- lm(
  normalized_hours ~ available_globally + runtime + months_since_release,
  data = movies_q2
)

summary(model_movies)

Call:
lm(formula = normalized_hours ~ available_globally + runtime + 
    months_since_release, data = movies_q2)

Residuals:
      Min        1Q    Median        3Q       Max 
 -4155125   -762061   -265711    263554 106654966 

Coefficients:
                      Estimate Std. Error t value Pr(>|t|)    
(Intercept)            1026306    3362249   0.305    0.760    
available_globallyYes   120066     109907   1.092    0.275    
runtime11M 0S          -834152    4116435  -0.203    0.839    
runtime12M 0S           498608    3477194   0.143    0.886    
runtime13M 0S            28637    3563117   0.008    0.994    
runtime14M 0S           -71423    3523372  -0.020    0.984    
runtime15M 0S           256936    3878928   0.066    0.947    
runtime16M 0S            49431    3591178   0.014    0.989    
runtime18M 0S          -531209    3477308  -0.153    0.879    
runtime19M 0S          -427177    3477256  -0.123    0.902    
runtime1H 0M 0S         832147    4115674   0.202    0.840    
runtime1H 10M 0S        161082    3442235   0.047    0.963    
runtime1H 11M 0S        227890    3434824   0.066    0.947    
runtime1H 12M 0S        299313    3442270   0.087    0.931    
runtime1H 13M 0S        215826    3428584   0.063    0.950    
runtime1H 14M 0S        647030    3438475   0.188    0.851    
runtime1H 15M 0S        626648    3563084   0.176    0.860    
runtime1H 16M 0S       -394468    3755841  -0.105    0.916    
runtime1H 17M 0S        240981    3431494   0.070    0.944    
runtime1H 18M 0S        174805    3462685   0.050    0.960    
runtime1H 19M 0S        -28815    3425773  -0.008    0.993    
runtime1H 1M 0S         259151    3477357   0.075    0.941    
runtime1H 20M 0S        440711    3397259   0.130    0.897    
runtime1H 21M 0S        447950    3396545   0.132    0.895    
runtime1H 22M 0S        547410    3403210   0.161    0.872    
runtime1H 23M 0S        444377    3388690   0.131    0.896    
runtime1H 24M 0S        542758    3385433   0.160    0.873    
runtime1H 25M 0S        692408    3389763   0.204    0.838    
runtime1H 26M 0S        445530    3378142   0.132    0.895    
runtime1H 27M 0S        624596    3378341   0.185    0.853    
runtime1H 28M 0S        737945    3382278   0.218    0.827    
runtime1H 29M 0S        981912    3375059   0.291    0.771    
runtime1H 30M 0S        688389    3369607   0.204    0.838    
runtime1H 31M 0S        490555    3370475   0.146    0.884    
runtime1H 32M 0S        637585    3371065   0.189    0.850    
runtime1H 33M 0S        498498    3370927   0.148    0.882    
runtime1H 34M 0S        536968    3371247   0.159    0.873    
runtime1H 35M 0S        522532    3366959   0.155    0.877    
runtime1H 36M 0S        432829    3367977   0.129    0.898    
runtime1H 37M 0S        532894    3366784   0.158    0.874    
runtime1H 38M 0S        718504    3368198   0.213    0.831    
runtime1H 39M 0S        543129    3369087   0.161    0.872    
runtime1H 3M 0S         215707    3679943   0.059    0.953    
runtime1H 40M 0S        568897    3367257   0.169    0.866    
runtime1H 41M 0S        729676    3369002   0.217    0.829    
runtime1H 42M 0S        873050    3368156   0.259    0.795    
runtime1H 43M 0S        764095    3369720   0.227    0.821    
runtime1H 44M 0S        633519    3372318   0.188    0.851    
runtime1H 45M 0S        621197    3370646   0.184    0.854    
runtime1H 46M 0S        522054    3368428   0.155    0.877    
runtime1H 47M 0S       1630031    3369431   0.484    0.629    
runtime1H 48M 0S        758351    3375240   0.225    0.822    
runtime1H 49M 0S       1431918    3371469   0.425    0.671    
runtime1H 4M 0S        2758997    3680875   0.750    0.454    
runtime1H 50M 0S        698830    3370256   0.207    0.836    
runtime1H 51M 0S        162120    3373264   0.048    0.962    
runtime1H 52M 0S        565816    3375396   0.168    0.867    
runtime1H 53M 0S       1004161    3374015   0.298    0.766    
runtime1H 54M 0S       1725843    3371456   0.512    0.609    
runtime1H 55M 0S        802614    3389896   0.237    0.813    
runtime1H 56M 0S        404309    3378658   0.120    0.905    
runtime1H 57M 0S        541378    3390908   0.160    0.873    
runtime1H 58M 0S        894480    3377737   0.265    0.791    
runtime1H 59M 0S        437900    3376664   0.130    0.897    
runtime1H 5M 0S          16683    3523504   0.005    0.996    
runtime1H 8M 0S        1452510    3679945   0.395    0.693    
runtime1H 9M 0S        -208976    3755767  -0.056    0.956    
runtime20M 0S            40249    3878915   0.010    0.992    
runtime21M 0S          -329584    3628452  -0.091    0.928    
runtime22M 0S           437284    3755835   0.116    0.907    
runtime23M 0S           459571    3456721   0.133    0.894    
runtime24M 0S           516616    3431617   0.151    0.880    
runtime25M 0S           279857    3414806   0.082    0.935    
runtime26M 0S           598351    3591366   0.167    0.868    
runtime27M 0S           238688    3878938   0.062    0.951    
runtime28M 0S           322490    3486100   0.093    0.926    
runtime29M 0S           484077    3680002   0.132    0.895    
runtime2H 0M 0S        1693535    3383238   0.501    0.617    
runtime2H 10M 0S        728634    3394825   0.215    0.830    
runtime2H 11M 0S        358358    3420884   0.105    0.917    
runtime2H 12M 0S       1901228    3431506   0.554    0.580    
runtime2H 13M 0S        371603    3403161   0.109    0.913    
runtime2H 14M 0S        891767    3496850   0.255    0.799    
runtime2H 15M 0S        372511    3401012   0.110    0.913    
runtime2H 16M 0S       1045274    3418786   0.306    0.760    
runtime2H 17M 0S       1660049    3404513   0.488    0.626    
runtime2H 18M 0S        296298    3446806   0.086    0.931    
runtime2H 19M 0S        334066    3402126   0.098    0.922    
runtime2H 1M 0S         503574    3383194   0.149    0.882    
runtime2H 20M 0S        637732    3462637   0.184    0.854    
runtime2H 21M 0S        286121    3462626   0.083    0.934    
runtime2H 22M 0S       1279656    3418736   0.374    0.708    
runtime2H 23M 0S        348643    3477154   0.100    0.920    
runtime2H 24M 0S        299951    3563030   0.084    0.933    
runtime2H 25M 0S       2120253    3628401   0.584    0.559    
runtime2H 26M 0S       2064997    3508845   0.589    0.556    
runtime2H 27M 0S        543022    3541131   0.153    0.878    
runtime2H 28M 0S        540098    3755761   0.144    0.886    
runtime2H 29M 0S        436701    3496406   0.125    0.901    
runtime2H 2M 0S        2437664    3395044   0.718    0.473    
runtime2H 30M 0S        478559    3523310   0.136    0.892    
runtime2H 31M 0S        365866    3755808   0.097    0.922    
runtime2H 32M 0S        862145    3563197   0.242    0.809    
runtime2H 34M 0S        -55870    3757522  -0.015    0.988    
runtime2H 36M 0S        564744    3563180   0.158    0.874    
runtime2H 39M 0S         77474    3496418   0.022    0.982    
runtime2H 3M 0S         648185    3396451   0.191    0.849    
runtime2H 40M 0S       -324269    4750724  -0.068    0.946    
runtime2H 42M 0S        -55414    3628410  -0.015    0.988    
runtime2H 47M 0S        177972    3496418   0.051    0.959    
runtime2H 4M 0S         732450    3382523   0.217    0.829    
runtime2H 53M 0S        610440    4114569   0.148    0.882    
runtime2H 5M 0S        3685018    3421040   1.077    0.281    
runtime2H 6M 0S         495891    3387653   0.146    0.884    
runtime2H 7M 0S         310378    3406913   0.091    0.927    
runtime2H 8M 0S        1720682    3403259   0.506    0.613    
runtime2H 9M 0S         344162    3418717   0.101    0.920    
runtime30M 0S           292862    3462674   0.085    0.933    
runtime31M 0S           359983    3628591   0.099    0.921    
runtime32M 0S           369086    3486118   0.106    0.916    
runtime33M 0S           110590    3508665   0.032    0.975    
runtime34M 0S           744031    4114558   0.181    0.857    
runtime35M 0S          1505667    4115270   0.366    0.714    
runtime36M 0S          -263381    3523261  -0.075    0.940    
runtime37M 0S           157115    3628403   0.043    0.965    
runtime38M 0S           730579    4114465   0.178    0.859    
runtime3H 11M 0S       -241842    3755854  -0.064    0.949    
runtime3H 20M 0S       -359406    3755818  -0.096    0.924    
runtime3H 24M 0S        770440    4114569   0.187    0.851    
runtime3H 29M 0S       1033350    3755982   0.275    0.783    
runtime3H 6M 0S           8301    3755743   0.002    0.998    
runtime40M 0S           743382    3423523   0.217    0.828    
runtime41M 0S           -11869    3438292  -0.003    0.997    
runtime42M 0S           376466    3563084   0.106    0.916    
runtime43M 0S          -770400    4752652  -0.162    0.871    
runtime44M 0S           521588    4114603   0.127    0.899    
runtime45M 0S           508100    3563291   0.143    0.887    
runtime46M 0S           547195    3423382   0.160    0.873    
runtime47M 0S           301938    3756129   0.080    0.936    
runtime48M 0S           195046    3628410   0.054    0.957    
runtime49M 0S           868076    3756136   0.231    0.817    
runtime51M 0S          1136198    3756404   0.302    0.762    
runtime52M 0S           273626    3591215   0.076    0.939    
runtime53M 0S          -300936    3755798  -0.080    0.936    
runtime54M 0S           205147    3496428   0.059    0.953    
runtime55M 0S           216188    3755767   0.058    0.954    
runtime57M 0S           373678    3486104   0.107    0.915    
runtime58M 0S           176531    3523616   0.050    0.960    
runtime59M 0S           402091    3423288   0.117    0.907    
runtime5H 12M 0S        112658    4114216   0.027    0.978    
runtime9M 0S            323727    3755798   0.086    0.931    
months_since_release    -27181       1698 -16.006   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 3359000 on 6556 degrees of freedom
Multiple R-squared:  0.06006,   Adjusted R-squared:  0.03841 
F-statistic: 2.774 on 151 and 6556 DF,  p-value: < 2.2e-16
model_shows <- lm(
  normalized_hours ~ available_globally + runtime + months_since_release,
  data = shows_q2
)

summary(model_shows)

Call:
lm(formula = normalized_hours ~ available_globally + runtime + 
    months_since_release, data = shows_q2)

Residuals:
      Min        1Q    Median        3Q       Max 
-34063545   -957635   -210518    442093 246117868 

Coefficients:
                        Estimate Std. Error t value Pr(>|t|)    
(Intercept)            1.218e+06  2.934e+06   0.415 0.677916    
available_globallyYes  7.872e+05  1.360e+05   5.788 7.30e-09 ***
runtime10H 10M 0S      2.710e+05  3.588e+06   0.076 0.939784    
runtime10H 13M 0S      2.395e+06  4.144e+06   0.578 0.563341    
runtime10H 14M 0S      2.595e+06  3.590e+06   0.723 0.469783    
runtime10H 15M 0S      5.637e+05  3.297e+06   0.171 0.864251    
runtime10H 16M 0S      1.330e+06  4.143e+06   0.321 0.748265    
runtime10H 17M 0S      6.401e+06  4.143e+06   1.545 0.122342    
runtime10H 18M 0S      1.419e+06  6.551e+06   0.217 0.828459    
runtime10H 1M 0S       1.106e+06  3.466e+06   0.319 0.749625    
runtime10H 20M 0S      1.403e+06  4.143e+06   0.339 0.734781    
runtime10H 21M 0S      1.173e+06  4.143e+06   0.283 0.777062    
runtime10H 22M 0S      1.561e+06  4.143e+06   0.377 0.706280    
runtime10H 23M 0S      2.035e+06  3.933e+06   0.517 0.604909    
runtime10H 24M 0S      8.468e+06  5.074e+06   1.669 0.095152 .  
runtime10H 26M 0S      2.855e+06  4.477e+06   0.638 0.523677    
runtime10H 27M 0S     -1.748e+05  5.074e+06  -0.034 0.972515    
runtime10H 28M 0S      1.844e+06  4.143e+06   0.445 0.656261    
runtime10H 2M 0S       7.464e+05  3.385e+06   0.221 0.825470    
runtime10H 30M 0S      4.427e+05  4.142e+06   0.107 0.914897    
runtime10H 33M 0S      1.755e+06  5.076e+06   0.346 0.729483    
runtime10H 35M 0S      1.717e+06  3.673e+06   0.468 0.640118    
runtime10H 36M 0S      1.600e+06  3.930e+06   0.407 0.683864    
runtime10H 38M 0S      1.091e+06  4.143e+06   0.263 0.792218    
runtime10H 39M 0S      1.800e+05  4.144e+06   0.043 0.965356    
runtime10H 3M 0S       2.034e+07  3.674e+06   5.536 3.15e-08 ***
runtime10H 40M 0S      6.133e+05  4.142e+06   0.148 0.882298    
runtime10H 41M 0S      4.355e+06  4.148e+06   1.050 0.293854    
runtime10H 43M 0S      1.580e+06  3.672e+06   0.430 0.666971    
runtime10H 47M 0S      5.590e+05  4.142e+06   0.135 0.892659    
runtime10H 49M 0S      1.170e+06  4.144e+06   0.282 0.777762    
runtime10H 4M 0S       2.460e+06  3.933e+06   0.625 0.531736    
runtime10H 50M 0S      7.124e+05  5.076e+06   0.140 0.888378    
runtime10H 52M 0S      2.623e+06  4.144e+06   0.633 0.526857    
runtime10H 53M 0S      1.951e+06  3.352e+06   0.582 0.560584    
runtime10H 55M 0S      2.097e+06  4.144e+06   0.506 0.612886    
runtime10H 59M 0S      7.583e+05  3.588e+06   0.211 0.832611    
runtime10H 6M 0S       1.575e+06  3.590e+06   0.439 0.660827    
runtime10H 7M 0S       8.537e+06  5.074e+06   1.683 0.092494 .  
runtime10H 8M 0S       3.795e+05  4.142e+06   0.092 0.926998    
runtime10H 9M 0S       4.845e+05  4.142e+06   0.117 0.906895    
runtime112H 45M 0S     2.752e+07  6.551e+06   4.201 2.67e-05 ***
runtime11H 10M 0S      1.601e+07  3.672e+06   4.358 1.32e-05 ***
runtime11H 11M 0S      1.273e+06  4.145e+06   0.307 0.758825    
runtime11H 12M 0S      1.916e+06  4.145e+06   0.462 0.643837    
runtime11H 13M 0S      2.100e+06  4.145e+06   0.507 0.612459    
runtime11H 14M 0S      3.756e+06  4.147e+06   0.906 0.365039    
runtime11H 18M 0S      1.669e+06  5.076e+06   0.329 0.742330    
runtime11H 21M 0S      1.776e+06  4.143e+06   0.429 0.668172    
runtime11H 22M 0S      2.563e+07  6.550e+06   3.913 9.15e-05 ***
runtime11H 23M 0S      2.807e+05  4.475e+06   0.063 0.949976    
runtime11H 24M 0S      1.085e+06  4.145e+06   0.262 0.793524    
runtime11H 25M 0S      2.062e+05  3.588e+06   0.057 0.954179    
runtime11H 26M 0S      1.549e+06  3.589e+06   0.432 0.666030    
runtime11H 2M 0S       3.267e+06  4.146e+06   0.788 0.430652    
runtime11H 30M 0S      1.998e+06  3.588e+06   0.557 0.577643    
runtime11H 32M 0S      1.389e+06  3.672e+06   0.378 0.705218    
runtime11H 33M 0S      5.223e+05  4.145e+06   0.126 0.899709    
runtime11H 34M 0S     -4.561e+04  3.589e+06  -0.013 0.989861    
runtime11H 37M 0S      5.730e+05  3.588e+06   0.160 0.873112    
runtime11H 44M 0S      1.584e+06  4.145e+06   0.382 0.702371    
runtime11H 45M 0S      7.007e+06  5.076e+06   1.381 0.167426    
runtime11H 47M 0S      2.063e+06  4.144e+06   0.498 0.618585    
runtime11H 48M 0S     -9.157e+04  4.475e+06  -0.020 0.983674    
runtime11H 49M 0S      3.286e+05  4.142e+06   0.079 0.936764    
runtime11H 4M 0S       8.930e+05  3.590e+06   0.249 0.803546    
runtime11H 50M 0S      3.530e+05  4.144e+06   0.085 0.932116    
runtime11H 59M 0S      8.728e+05  4.477e+06   0.195 0.845422    
runtime11H 5M 0S      -1.423e+05  4.145e+06  -0.034 0.972603    
runtime11H 6M 0S       3.984e+05  4.144e+06   0.096 0.923404    
runtime11H 7M 0S       7.523e+05  4.142e+06   0.182 0.855891    
runtime12H 10M 0S      9.309e+04  4.144e+06   0.022 0.982077    
runtime12H 11M 0S      1.011e+06  4.143e+06   0.244 0.807247    
runtime12H 14M 0S      4.204e+05  3.587e+06   0.117 0.906712    
runtime12H 16M 0S      3.622e+06  4.147e+06   0.873 0.382443    
runtime12H 17M 0S      1.874e+06  4.143e+06   0.452 0.651090    
runtime12H 18M 0S      1.145e+06  4.143e+06   0.276 0.782287    
runtime12H 25M 0S      6.466e+05  4.144e+06   0.156 0.876032    
runtime12H 27M 0S      8.841e+05  4.142e+06   0.213 0.830997    
runtime12H 28M 0S      7.778e+05  4.142e+06   0.188 0.851055    
runtime12H 29M 0S      3.754e+06  4.146e+06   0.905 0.365283    
runtime12H 2M 0S       3.181e+06  4.143e+06   0.768 0.442584    
runtime12H 30M 0S     -5.298e+05  6.551e+06  -0.081 0.935541    
runtime12H 34M 0S      2.090e+06  4.145e+06   0.504 0.614017    
runtime12H 35M 0S      2.597e+06  4.145e+06   0.626 0.531042    
runtime12H 36M 0S      2.226e+07  6.550e+06   3.399 0.000679 ***
runtime12H 37M 0S      1.625e+07  5.074e+06   3.202 0.001368 ** 
runtime12H 38M 0S      5.031e+04  4.142e+06   0.012 0.990310    
runtime12H 3M 0S       1.946e+06  4.142e+06   0.470 0.638552    
runtime12H 43M 0S      5.047e+05  3.672e+06   0.137 0.890683    
runtime12H 45M 0S     -3.556e+05  4.143e+06  -0.086 0.931593    
runtime12H 46M 0S      1.273e+06  4.144e+06   0.307 0.758771    
runtime12H 53M 0S     -7.670e+05  4.142e+06  -0.185 0.853103    
runtime12H 57M 0S      1.185e+06  4.143e+06   0.286 0.774846    
runtime12H 58M 0S      3.232e+06  4.146e+06   0.779 0.435722    
runtime12H 8M 0S       1.540e+06  3.782e+06   0.407 0.683888    
runtime13H 0M 0S       3.643e+05  4.142e+06   0.088 0.929919    
runtime13H 13M 0S      5.944e+06  3.587e+06   1.657 0.097584 .  
runtime13H 16M 0S      2.816e+06  4.144e+06   0.679 0.496880    
runtime13H 17M 0S      1.506e+06  5.075e+06   0.297 0.766681    
runtime13H 20M 0S      3.288e+06  4.145e+06   0.793 0.427642    
runtime13H 21M 0S     -2.450e+04  3.588e+06  -0.007 0.994551    
runtime13H 23M 0S      1.591e+06  4.145e+06   0.384 0.700995    
runtime13H 24M 0S      3.908e+05  4.142e+06   0.094 0.924841    
runtime13H 27M 0S      1.055e+06  4.144e+06   0.254 0.799124    
runtime13H 33M 0S      1.732e+07  4.475e+06   3.872 0.000109 ***
runtime13H 3M 0S       3.456e+05  4.144e+06   0.083 0.933530    
runtime13H 43M 0S     -2.516e+05  4.142e+06  -0.061 0.951569    
runtime13H 44M 0S      8.420e+05  4.143e+06   0.203 0.838944    
runtime13H 46M 0S      1.506e+06  4.144e+06   0.363 0.716270    
runtime13H 48M 0S      9.944e+05  4.142e+06   0.240 0.810296    
runtime13H 4M 0S       2.462e+06  4.142e+06   0.594 0.552365    
runtime13H 52M 0S      1.394e+06  4.145e+06   0.336 0.736678    
runtime13H 54M 0S      9.927e+05  4.142e+06   0.240 0.810616    
runtime13H 57M 0S      8.781e+05  3.672e+06   0.239 0.811021    
runtime13H 59M 0S      1.841e+06  4.144e+06   0.444 0.656921    
runtime13H 7M 0S       2.269e+06  3.384e+06   0.671 0.502482    
runtime13M 0S         -5.470e+05  4.143e+06  -0.132 0.894957    
runtime14H 10M 0S      6.932e+04  4.142e+06   0.017 0.986649    
runtime14H 12M 0S      3.200e+06  4.475e+06   0.715 0.474589    
runtime14H 16M 0S      8.524e+05  3.466e+06   0.246 0.805753    
runtime14H 18M 0S      2.580e+05  4.476e+06   0.058 0.954046    
runtime14H 19M 0S      6.126e+06  4.477e+06   1.368 0.171183    
runtime14H 22M 0S     -5.233e+05  6.551e+06  -0.080 0.936340    
runtime14H 28M 0S     -1.445e+05  3.588e+06  -0.040 0.967877    
runtime14H 30M 0S      2.791e+06  5.076e+06   0.550 0.582414    
runtime14H 37M 0S      2.856e+06  4.146e+06   0.689 0.490849    
runtime14H 42M 0S      5.922e+07  6.550e+06   9.041  < 2e-16 ***
runtime14H 45M 0S      8.012e+05  4.145e+06   0.193 0.846718    
runtime14H 48M 0S      2.026e+06  3.589e+06   0.565 0.572413    
runtime14H 4M 0S       2.368e+05  4.142e+06   0.057 0.954405    
runtime14H 54M 0S      1.160e+06  4.143e+06   0.280 0.779521    
runtime14H 58M 0S      1.690e+06  5.075e+06   0.333 0.739182    
runtime14H 59M 0S      4.812e+05  4.145e+06   0.116 0.907572    
runtime14H 5M 0S      -2.930e+05  4.142e+06  -0.071 0.943610    
runtime14H 6M 0S       1.938e+06  4.143e+06   0.468 0.639916    
runtime14H 7M 0S       5.786e+06  5.074e+06   1.140 0.254119    
runtime14H 9M 0S       3.461e+05  3.930e+06   0.088 0.929820    
runtime14M 0S          2.049e+05  3.781e+06   0.054 0.956783    
runtime15H 10M 0S      2.245e+06  3.588e+06   0.626 0.531593    
runtime15H 15M 0S     -1.966e+05  4.142e+06  -0.047 0.962137    
runtime15H 16M 0S      1.226e+06  3.522e+06   0.348 0.727746    
runtime15H 23M 0S      1.425e+07  5.076e+06   2.808 0.004985 ** 
runtime15H 27M 0S      1.856e+06  4.143e+06   0.448 0.654280    
runtime15H 28M 0S      2.640e+06  3.589e+06   0.735 0.462073    
runtime15H 29M 0S      2.086e+06  4.145e+06   0.503 0.614821    
runtime15H 2M 0S       3.874e+07  6.550e+06   5.915 3.41e-09 ***
runtime15H 30M 0S      9.616e+05  3.588e+06   0.268 0.788709    
runtime15H 32M 0S      2.569e+06  4.145e+06   0.620 0.535442    
runtime15H 33M 0S      5.176e+05  3.587e+06   0.144 0.885286    
runtime15H 34M 0S      4.952e+06  3.930e+06   1.260 0.207623    
runtime15H 35M 0S      1.081e+06  4.142e+06   0.261 0.794212    
runtime15H 47M 0S      1.191e+08  6.550e+06  18.188  < 2e-16 ***
runtime15H 59M 0S      2.691e+05  4.143e+06   0.065 0.948206    
runtime16H 14M 0S      1.341e+06  4.143e+06   0.324 0.746163    
runtime16H 21M 0S      5.153e+05  4.142e+06   0.124 0.901008    
runtime16H 22M 0S      8.492e+07  6.550e+06  12.965  < 2e-16 ***
runtime16H 23M 0S      5.396e+07  6.551e+06   8.236  < 2e-16 ***
runtime16H 27M 0S      3.364e+05  4.143e+06   0.081 0.935277    
runtime16H 28M 0S      8.621e+04  4.142e+06   0.021 0.983396    
runtime16H 2M 0S       9.179e+05  4.142e+06   0.222 0.824634    
runtime16H 34M 0S      6.177e+05  3.587e+06   0.172 0.863299    
runtime16H 35M 0S      1.904e+08  6.550e+06  29.075  < 2e-16 ***
runtime16H 36M 0S      1.438e+07  6.550e+06   2.196 0.028101 *  
runtime16H 38M 0S      1.087e+06  4.143e+06   0.262 0.793051    
runtime16H 3M 0S      -6.640e+05  4.142e+06  -0.160 0.872651    
runtime16H 43M 0S      8.590e+05  4.144e+06   0.207 0.835815    
runtime16H 47M 0S     -5.233e+05  6.551e+06  -0.080 0.936340    
runtime16H 49M 0S      8.840e+05  4.142e+06   0.213 0.831016    
runtime16H 4M 0S       4.433e+05  3.587e+06   0.124 0.901654    
runtime16H 55M 0S      1.009e+06  4.142e+06   0.244 0.807570    
runtime16H 57M 0S      2.803e+06  4.143e+06   0.677 0.498585    
runtime16H 5M 0S       6.625e+03  4.142e+06   0.002 0.998724    
runtime16H 7M 0S       7.240e+04  4.142e+06   0.017 0.986055    
runtime17H 11M 0S      9.659e+05  4.142e+06   0.233 0.815640    
runtime17H 12M 0S      5.031e+05  4.142e+06   0.121 0.903331    
runtime17H 13M 0S      3.315e+06  3.781e+06   0.877 0.380641    
runtime17H 16M 0S      1.015e+06  4.143e+06   0.245 0.806417    
runtime17H 18M 0S      1.595e+06  3.587e+06   0.445 0.656624    
runtime17H 31M 0S      1.074e+06  4.143e+06   0.259 0.795404    
runtime17H 35M 0S      7.067e+06  4.475e+06   1.579 0.114272    
runtime17H 41M 0S      3.082e+05  4.142e+06   0.074 0.940690    
runtime17H 45M 0S     -3.120e+05  4.142e+06  -0.075 0.939960    
runtime17H 51M 0S      1.734e+05  4.142e+06   0.042 0.966604    
runtime17H 56M 0S      3.183e+05  4.142e+06   0.077 0.938754    
runtime17H 57M 0S      2.278e+06  3.672e+06   0.620 0.534995    
runtime17H 59M 0S      1.889e+06  4.145e+06   0.456 0.648498    
runtime17H 8M 0S       8.524e+05  4.143e+06   0.206 0.836979    
runtime17H 9M 0S       8.757e+05  4.142e+06   0.211 0.832570    
runtime18H 10M 0S     -6.628e+04  4.142e+06  -0.016 0.987233    
runtime18H 17M 0S     -4.757e+05  6.551e+06  -0.073 0.942118    
runtime18H 19M 0S      2.337e+04  4.142e+06   0.006 0.995498    
runtime18H 22M 0S      1.594e+05  4.142e+06   0.038 0.969305    
runtime18H 25M 0S      1.514e+06  3.932e+06   0.385 0.700221    
runtime18H 26M 0S      2.191e+05  3.587e+06   0.061 0.951300    
runtime18H 2M 0S       6.012e+07  6.552e+06   9.176  < 2e-16 ***
runtime18H 35M 0S      3.704e+06  4.475e+06   0.828 0.407819    
runtime18H 37M 0S      5.221e+05  4.142e+06   0.126 0.899694    
runtime18H 40M 0S      2.554e+06  4.145e+06   0.616 0.537876    
runtime18H 44M 0S     -5.642e+04  4.142e+06  -0.014 0.989133    
runtime18H 47M 0S      1.228e+06  4.142e+06   0.296 0.766923    
runtime18H 49M 0S     -2.109e+05  4.142e+06  -0.051 0.959389    
runtime18H 4M 0S      -2.736e+05  4.142e+06  -0.066 0.947341    
runtime18H 51M 0S      5.571e+05  4.142e+06   0.134 0.893025    
runtime18H 55M 0S      2.780e+05  4.142e+06   0.067 0.946486    
runtime18H 56M 0S     -2.687e+05  4.142e+06  -0.065 0.948281    
runtime18H 8M 0S       2.387e+05  4.142e+06   0.058 0.954049    
runtime18M 0S         -4.033e+05  4.474e+06  -0.090 0.928175    
runtime19H 0M 0S       6.757e+06  3.588e+06   1.883 0.059704 .  
runtime19H 10M 0S      2.670e+06  4.146e+06   0.644 0.519537    
runtime19H 21M 0S      6.642e+05  4.142e+06   0.160 0.872609    
runtime19H 24M 0S      8.716e+05  4.142e+06   0.210 0.833341    
runtime19H 27M 0S      9.945e+03  4.142e+06   0.002 0.998084    
runtime19H 2M 0S      -2.442e+05  4.142e+06  -0.059 0.952989    
runtime19H 41M 0S      7.673e+05  4.142e+06   0.185 0.853057    
runtime19H 44M 0S      1.383e+06  6.550e+06   0.211 0.832717    
runtime19H 55M 0S      3.979e+05  4.142e+06   0.096 0.923484    
runtime19H 5M 0S       1.806e+06  4.475e+06   0.404 0.686433    
runtime19M 0S          1.424e+05  3.466e+06   0.041 0.967215    
runtime1H 0M 0S        5.558e+05  2.987e+06   0.186 0.852364    
runtime1H 10M 0S       7.208e+05  3.126e+06   0.231 0.817655    
runtime1H 11M 0S       1.097e+06  3.077e+06   0.357 0.721384    
runtime1H 12M 0S       1.351e+06  3.323e+06   0.407 0.684265    
runtime1H 13M 0S       1.265e+06  3.225e+06   0.392 0.694931    
runtime1H 14M 0S       1.159e+06  3.098e+06   0.374 0.708369    
runtime1H 15M 0S       9.208e+05  3.257e+06   0.283 0.777365    
runtime1H 16M 0S      -1.506e+04  3.155e+06  -0.005 0.996192    
runtime1H 17M 0S       1.303e+06  3.468e+06   0.376 0.707015    
runtime1H 18M 0S       9.046e+05  3.133e+06   0.289 0.772775    
runtime1H 19M 0S      -1.108e+05  3.211e+06  -0.035 0.972479    
runtime1H 1M 0S        8.281e+05  3.011e+06   0.275 0.783290    
runtime1H 20M 0S       5.198e+05  3.384e+06   0.154 0.877943    
runtime1H 21M 0S       1.063e+06  3.256e+06   0.326 0.744120    
runtime1H 22M 0S       8.228e+05  3.351e+06   0.246 0.806041    
runtime1H 23M 0S       1.708e+06  3.467e+06   0.493 0.622170    
runtime1H 24M 0S       1.527e+06  3.421e+06   0.446 0.655349    
runtime1H 26M 0S       3.524e+05  3.589e+06   0.098 0.921795    
runtime1H 27M 0S       1.811e+06  3.351e+06   0.540 0.588874    
runtime1H 28M 0S       1.470e+06  3.589e+06   0.410 0.682051    
runtime1H 29M 0S       2.832e+06  4.477e+06   0.633 0.526987    
runtime1H 2M 0S        1.165e+06  3.037e+06   0.383 0.701385    
runtime1H 30M 0S       1.582e+06  4.143e+06   0.382 0.702501    
runtime1H 31M 0S       4.916e+05  3.382e+06   0.145 0.884438    
runtime1H 32M 0S       2.365e+06  3.385e+06   0.699 0.484675    
runtime1H 33M 0S      -2.282e+05  4.144e+06  -0.055 0.956081    
runtime1H 34M 0S      -4.441e+04  3.783e+06  -0.012 0.990634    
runtime1H 35M 0S       2.649e+05  3.321e+06   0.080 0.936434    
runtime1H 36M 0S       1.470e+06  3.783e+06   0.389 0.697514    
runtime1H 37M 0S       1.079e+06  3.185e+06   0.339 0.734759    
runtime1H 38M 0S       1.818e+05  3.521e+06   0.052 0.958815    
runtime1H 39M 0S       1.303e+06  3.239e+06   0.402 0.687441    
runtime1H 3M 0S        6.716e+05  3.010e+06   0.223 0.823434    
runtime1H 40M 0S       5.094e+03  3.466e+06   0.001 0.998827    
runtime1H 41M 0S       2.048e+06  4.144e+06   0.494 0.621187    
runtime1H 42M 0S       4.809e+05  3.164e+06   0.152 0.879200    
runtime1H 43M 0S       2.178e+05  3.196e+06   0.068 0.945656    
runtime1H 44M 0S       1.493e+06  5.076e+06   0.294 0.768593    
runtime1H 45M 0S       7.859e+04  3.466e+06   0.023 0.981908    
runtime1H 46M 0S       5.389e+05  3.587e+06   0.150 0.880588    
runtime1H 47M 0S      -6.379e+04  3.196e+06  -0.020 0.984078    
runtime1H 48M 0S       1.398e+06  5.074e+06   0.276 0.782849    
runtime1H 49M 0S       1.077e+06  3.350e+06   0.321 0.747915    
runtime1H 4M 0S        9.990e+05  3.013e+06   0.332 0.740194    
runtime1H 50M 0S       1.022e+06  3.350e+06   0.305 0.760409    
runtime1H 51M 0S       3.376e+05  3.155e+06   0.107 0.914786    
runtime1H 52M 0S      -1.453e+05  3.420e+06  -0.042 0.966113    
runtime1H 53M 0S       8.642e+05  3.322e+06   0.260 0.794753    
runtime1H 54M 0S       1.564e+05  3.059e+06   0.051 0.959235    
runtime1H 55M 0S      -9.120e+04  3.092e+06  -0.029 0.976472    
runtime1H 56M 0S       2.962e+05  3.256e+06   0.091 0.927513    
runtime1H 57M 0S      -6.589e+04  3.782e+06  -0.017 0.986100    
runtime1H 58M 0S       2.779e+06  3.209e+06   0.866 0.386473    
runtime1H 59M 0S       1.364e+05  3.587e+06   0.038 0.969661    
runtime1H 5M 0S        5.337e+05  3.085e+06   0.173 0.862659    
runtime1H 6M 0S        9.915e+05  3.010e+06   0.329 0.741831    
runtime1H 7M 0S        1.076e+06  3.046e+06   0.353 0.723808    
runtime1H 8M 0S        3.300e+05  3.103e+06   0.106 0.915302    
runtime1H 9M 0S        5.165e+05  3.186e+06   0.162 0.871207    
runtime20H 0M 0S      -1.348e+05  4.142e+06  -0.033 0.974032    
runtime20H 16M 0S      1.147e+06  4.142e+06   0.277 0.781892    
runtime20H 22M 0S      1.933e+06  4.143e+06   0.467 0.640778    
runtime20H 52M 0S      1.052e+06  4.142e+06   0.254 0.799599    
runtime20H 6M 0S       1.065e+06  5.074e+06   0.210 0.833726    
runtime20H 7M 0S       4.145e+05  4.142e+06   0.100 0.920287    
runtime20M 0S          2.926e+04  4.142e+06   0.007 0.994364    
runtime21H 15M 0S      2.615e+07  5.074e+06   5.154 2.59e-07 ***
runtime21H 1M 0S       1.300e+05  4.142e+06   0.031 0.974964    
runtime21H 21M 0S      5.819e+05  4.142e+06   0.140 0.888281    
runtime21H 22M 0S      8.476e+05  4.142e+06   0.205 0.837886    
runtime21H 32M 0S      7.420e+05  4.142e+06   0.179 0.857840    
runtime21H 53M 0S      6.234e+05  4.142e+06   0.150 0.880374    
runtime21M 0S          2.794e+05  3.781e+06   0.074 0.941099    
runtime22H 1M 0S      -1.407e+05  4.142e+06  -0.034 0.972896    
runtime22H 28M 0S      2.261e+06  4.142e+06   0.546 0.585155    
runtime23H 13M 0S      1.583e+05  4.142e+06   0.038 0.969525    
runtime23H 18M 0S     -1.300e+05  4.142e+06  -0.031 0.974972    
runtime23H 22M 0S      2.017e+07  4.475e+06   4.508 6.60e-06 ***
runtime23H 49M 0S      8.488e+05  4.142e+06   0.205 0.837643    
runtime23M 0S          4.107e+05  3.350e+06   0.123 0.902411    
runtime24H 24M 0S      1.547e+06  4.143e+06   0.373 0.708830    
runtime24H 52M 0S      1.335e+06  4.142e+06   0.322 0.747287    
runtime24M 0S          8.399e+04  3.238e+06   0.026 0.979307    
runtime25H 2M 0S       1.788e+06  4.143e+06   0.432 0.666097    
runtime25H 47M 0S     -3.769e+05  6.551e+06  -0.058 0.954123    
runtime25M 0S          5.329e+04  3.112e+06   0.017 0.986338    
runtime26H 38M 0S     -3.079e+04  4.142e+06  -0.007 0.994069    
runtime26M 0S          6.996e+05  3.350e+06   0.209 0.834571    
runtime27H 0M 0S       1.273e+06  4.142e+06   0.307 0.758563    
runtime27H 15M 0S      3.823e+05  4.145e+06   0.092 0.926516    
runtime27M 0S         -1.682e+06  5.074e+06  -0.331 0.740276    
runtime28H 55M 0S      1.981e+06  4.145e+06   0.478 0.632712    
runtime28M 0S         -3.190e+05  3.275e+06  -0.097 0.922393    
runtime29H 52M 0S      8.741e+07  6.552e+06  13.342  < 2e-16 ***
runtime29M 0S          7.534e+05  3.321e+06   0.227 0.820567    
runtime2H 0M 0S        1.106e+06  3.080e+06   0.359 0.719556    
runtime2H 10M 0S       5.382e+04  3.209e+06   0.017 0.986618    
runtime2H 11M 0S      -1.292e+05  3.275e+06  -0.039 0.968523    
runtime2H 12M 0S       2.642e+05  3.112e+06   0.085 0.932344    
runtime2H 13M 0S       2.674e+05  3.321e+06   0.080 0.935843    
runtime2H 14M 0S       1.406e+06  3.139e+06   0.448 0.654251    
runtime2H 15M 0S       3.423e+05  3.184e+06   0.107 0.914410    
runtime2H 16M 0S       1.008e+06  3.196e+06   0.316 0.752371    
runtime2H 17M 0S       3.627e+05  3.382e+06   0.107 0.914596    
runtime2H 18M 0S       7.642e+05  3.350e+06   0.228 0.819550    
runtime2H 19M 0S       4.867e+05  3.146e+06   0.155 0.877072    
runtime2H 1M 0S       -1.771e+05  3.588e+06  -0.049 0.960626    
runtime2H 20M 0S       1.240e+06  3.321e+06   0.373 0.708838    
runtime2H 21M 0S       7.733e+05  3.119e+06   0.248 0.804161    
runtime2H 22M 0S       1.107e+06  3.057e+06   0.362 0.717343    
runtime2H 23M 0S       2.778e+05  3.044e+06   0.091 0.927294    
runtime2H 24M 0S       7.026e+05  3.088e+06   0.228 0.820007    
runtime2H 25M 0S       3.381e+05  3.069e+06   0.110 0.912279    
runtime2H 26M 0S       4.466e+05  3.088e+06   0.145 0.885004    
runtime2H 27M 0S       6.442e+05  3.072e+06   0.210 0.833911    
runtime2H 28M 0S       3.314e+05  3.275e+06   0.101 0.919400    
runtime2H 29M 0S       1.899e+05  3.349e+06   0.057 0.954777    
runtime2H 2M 0S        1.471e+06  3.196e+06   0.460 0.645250    
runtime2H 30M 0S      -5.096e+05  3.223e+06  -0.158 0.874362    
runtime2H 31M 0S      -1.514e+05  3.146e+06  -0.048 0.961622    
runtime2H 32M 0S       6.711e+05  3.155e+06   0.213 0.831543    
runtime2H 33M 0S      -9.015e+04  3.297e+06  -0.027 0.978186    
runtime2H 34M 0S       2.125e+05  3.521e+06   0.060 0.951879    
runtime2H 35M 0S       1.211e+05  3.275e+06   0.037 0.970500    
runtime2H 36M 0S       4.892e+05  3.107e+06   0.157 0.874876    
runtime2H 37M 0S       2.712e+06  3.196e+06   0.849 0.396149    
runtime2H 38M 0S      -9.766e+04  3.275e+06  -0.030 0.976213    
runtime2H 39M 0S       1.590e+06  3.131e+06   0.508 0.611627    
runtime2H 3M 0S        2.154e+05  4.143e+06   0.052 0.958529    
runtime2H 40M 0S       1.545e+06  3.209e+06   0.481 0.630210    
runtime2H 41M 0S       5.034e+05  3.088e+06   0.163 0.870496    
runtime2H 42M 0S      -2.645e+04  3.131e+06  -0.008 0.993261    
runtime2H 43M 0S       1.772e+05  3.080e+06   0.058 0.954113    
runtime2H 44M 0S       3.585e+05  3.146e+06   0.114 0.909287    
runtime2H 45M 0S       9.142e+05  3.097e+06   0.295 0.767891    
runtime2H 46M 0S       8.774e+05  3.063e+06   0.286 0.774516    
runtime2H 47M 0S       1.630e+05  3.076e+06   0.053 0.957734    
runtime2H 48M 0S       3.144e+05  3.131e+06   0.100 0.920026    
runtime2H 49M 0S      -2.306e+04  3.102e+06  -0.007 0.994068    
runtime2H 4M 0S       -5.531e+04  3.297e+06  -0.017 0.986615    
runtime2H 50M 0S       2.037e+05  3.125e+06   0.065 0.948024    
runtime2H 51M 0S       4.204e+05  3.107e+06   0.135 0.892372    
runtime2H 52M 0S       2.710e+05  3.174e+06   0.085 0.931965    
runtime2H 53M 0S       8.347e+04  3.097e+06   0.027 0.978496    
runtime2H 54M 0S       4.756e+05  3.275e+06   0.145 0.884539    
runtime2H 55M 0S       4.301e+04  3.101e+06   0.014 0.988936    
runtime2H 56M 0S      -4.754e+03  3.164e+06  -0.002 0.998801    
runtime2H 57M 0S       3.335e+05  3.097e+06   0.108 0.914229    
runtime2H 58M 0S       4.667e+05  3.112e+06   0.150 0.880806    
runtime2H 59M 0S       2.644e+05  3.164e+06   0.084 0.933398    
runtime2H 5M 0S        9.018e+04  3.147e+06   0.029 0.977137    
runtime2H 6M 0S       -1.621e+05  3.174e+06  -0.051 0.959263    
runtime2H 7M 0S        1.407e+05  3.421e+06   0.041 0.967183    
runtime2H 8M 0S        5.492e+05  3.588e+06   0.153 0.878348    
runtime2H 9M 0S        8.355e+05  3.223e+06   0.259 0.795458    
runtime30H 0M 0S       1.428e+06  4.143e+06   0.345 0.730351    
runtime30H 15M 0S      1.286e+07  6.550e+06   1.964 0.049544 *  
runtime30H 2M 0S       5.730e+05  4.474e+06   0.128 0.898100    
runtime30M 0S         -2.178e+05  3.209e+06  -0.068 0.945878    
runtime32M 0S         -5.993e+05  4.474e+06  -0.134 0.893452    
runtime33H 1M 0S       1.742e+06  4.145e+06   0.420 0.674274    
runtime33H 30M 0S      1.329e+06  4.145e+06   0.321 0.748556    
runtime33M 0S         -3.203e+05  3.466e+06  -0.092 0.926372    
runtime34H 47M 0S      1.437e+06  6.550e+06   0.219 0.826342    
runtime34M 0S         -8.599e+05  5.074e+06  -0.169 0.865429    
runtime35M 0S          1.807e+06  4.143e+06   0.436 0.662811    
runtime36M 0S         -7.769e+04  3.256e+06  -0.024 0.980964    
runtime37H 2M 0S       2.185e+06  4.477e+06   0.488 0.625418    
runtime37M 0S         -4.493e+05  3.930e+06  -0.114 0.908977    
runtime38M 0S         -2.894e+05  3.587e+06  -0.081 0.935697    
runtime39M 0S          4.083e+05  5.074e+06   0.080 0.935867    
runtime3H 0M 0S        2.663e+05  3.155e+06   0.084 0.932731    
runtime3H 10M 0S       2.888e+05  3.102e+06   0.093 0.925815    
runtime3H 11M 0S      -1.327e+05  3.034e+06  -0.044 0.965117    
runtime3H 12M 0S      -3.463e+05  3.088e+06  -0.112 0.910690    
runtime3H 13M 0S      -4.963e+04  3.146e+06  -0.016 0.987415    
runtime3H 14M 0S       2.220e+05  3.062e+06   0.073 0.942203    
runtime3H 15M 0S      -5.821e+04  3.054e+06  -0.019 0.984791    
runtime3H 16M 0S       1.015e+06  3.420e+06   0.297 0.766598    
runtime3H 17M 0S       1.830e+05  3.059e+06   0.060 0.952303    
runtime3H 18M 0S       8.286e+05  3.146e+06   0.263 0.792290    
runtime3H 19M 0S       9.791e+04  3.131e+06   0.031 0.975057    
runtime3H 1M 0S        9.931e+04  3.174e+06   0.031 0.975037    
runtime3H 20M 0S       2.838e+04  3.076e+06   0.009 0.992638    
runtime3H 21M 0S       7.268e+05  3.297e+06   0.220 0.825512    
runtime3H 22M 0S      -4.826e+04  3.044e+06  -0.016 0.987352    
runtime3H 23M 0S       2.488e+05  3.046e+06   0.082 0.934914    
runtime3H 24M 0S       4.692e+05  3.256e+06   0.144 0.885407    
runtime3H 25M 0S       9.014e+04  3.139e+06   0.029 0.977088    
runtime3H 26M 0S       2.307e+05  3.118e+06   0.074 0.941038    
runtime3H 27M 0S      -4.752e+05  3.196e+06  -0.149 0.881808    
runtime3H 28M 0S      -9.057e+04  3.083e+06  -0.029 0.976568    
runtime3H 29M 0S       7.018e+05  3.275e+06   0.214 0.830312    
runtime3H 2M 0S        2.384e+05  3.118e+06   0.076 0.939057    
runtime3H 30M 0S       4.068e+05  3.072e+06   0.132 0.894652    
runtime3H 31M 0S       2.613e+05  3.040e+06   0.086 0.931497    
runtime3H 32M 0S       9.558e+05  3.196e+06   0.299 0.764892    
runtime3H 33M 0S       3.402e+05  3.112e+06   0.109 0.912963    
runtime3H 34M 0S       1.230e+05  3.146e+06   0.039 0.968812    
runtime3H 35M 0S      -2.453e+04  3.275e+06  -0.007 0.994024    
runtime3H 36M 0S       9.517e+04  3.107e+06   0.031 0.975564    
runtime3H 37M 0S      -3.116e+05  3.196e+06  -0.098 0.922320    
runtime3H 38M 0S       1.207e+06  3.069e+06   0.393 0.694084    
runtime3H 39M 0S       5.907e+05  3.146e+06   0.188 0.851096    
runtime3H 3M 0S       -7.679e+04  3.238e+06  -0.024 0.981081    
runtime3H 40M 0S       1.307e+06  3.255e+06   0.401 0.688166    
runtime3H 41M 0S      -1.277e+05  3.139e+06  -0.041 0.967536    
runtime3H 42M 0S      -3.576e+05  3.164e+06  -0.113 0.910012    
runtime3H 43M 0S       1.911e+04  3.118e+06   0.006 0.995111    
runtime3H 44M 0S       4.575e+06  3.118e+06   1.467 0.142340    
runtime3H 45M 0S      -2.760e+05  3.522e+06  -0.078 0.937551    
runtime3H 46M 0S       2.375e+06  3.097e+06   0.767 0.443084    
runtime3H 47M 0S       2.471e+05  3.107e+06   0.080 0.936601    
runtime3H 48M 0S       7.859e+05  3.165e+06   0.248 0.803864    
runtime3H 49M 0S      -1.886e+05  3.139e+06  -0.060 0.952078    
runtime3H 4M 0S        3.383e+06  3.062e+06   1.105 0.269264    
runtime3H 50M 0S       6.103e+06  3.097e+06   1.971 0.048771 *  
runtime3H 51M 0S       9.698e+05  3.139e+06   0.309 0.757351    
runtime3H 52M 0S       3.732e+05  3.146e+06   0.119 0.905574    
runtime3H 53M 0S       6.811e+05  3.184e+06   0.214 0.830630    
runtime3H 54M 0S       6.571e+05  3.102e+06   0.212 0.832215    
runtime3H 55M 0S       5.405e+05  3.051e+06   0.177 0.859397    
runtime3H 56M 0S       1.034e+06  3.051e+06   0.339 0.734770    
runtime3H 57M 0S       6.054e+05  3.155e+06   0.192 0.847811    
runtime3H 58M 0S       1.857e+06  3.088e+06   0.601 0.547560    
runtime3H 59M 0S       4.325e+05  3.223e+06   0.134 0.893254    
runtime3H 5M 0S        8.139e+05  3.072e+06   0.265 0.791067    
runtime3H 6M 0S        6.234e+05  3.072e+06   0.203 0.839205    
runtime3H 7M 0S       -1.778e+05  3.107e+06  -0.057 0.954356    
runtime3H 8M 0S        4.340e+05  3.118e+06   0.139 0.889305    
runtime3H 9M 0S       -4.480e+05  3.097e+06  -0.145 0.884961    
runtime40H 46M 0S      4.885e+06  4.149e+06   1.177 0.239025    
runtime40M 0S         -5.178e+05  3.423e+06  -0.151 0.879750    
runtime41H 30M 0S      1.473e+06  4.145e+06   0.355 0.722256    
runtime41H 50M 0S      3.721e+06  4.147e+06   0.897 0.369580    
runtime41M 0S         -9.306e+05  4.474e+06  -0.208 0.835241    
runtime42M 0S          4.807e+05  4.475e+06   0.107 0.914462    
runtime43H 2M 0S       1.885e+06  4.145e+06   0.455 0.649210    
runtime43M 0S         -4.374e+05  3.932e+06  -0.111 0.911417    
runtime44H 36M 0S      3.380e+06  6.552e+06   0.516 0.605912    
runtime44M 0S          3.518e+05  4.143e+06   0.085 0.932330    
runtime45H 1M 0S       2.473e+06  6.551e+06   0.378 0.705804    
runtime45H 22M 0S      1.971e+06  4.145e+06   0.475 0.634493    
runtime45H 33M 0S      1.242e+06  4.145e+06   0.300 0.764438    
runtime45H 3M 0S       8.110e+05  4.142e+06   0.196 0.844788    
runtime45M 0S          6.635e+05  3.146e+06   0.211 0.832999    
runtime46H 14M 0S      1.016e+07  5.074e+06   2.002 0.045284 *  
runtime46H 21M 0S      1.212e+06  3.673e+06   0.330 0.741353    
runtime46H 26M 0S      2.158e+06  4.145e+06   0.521 0.602562    
runtime46M 0S          4.564e+04  3.146e+06   0.015 0.988428    
runtime47H 15M 0S      1.070e+06  4.144e+06   0.258 0.796295    
runtime47H 35M 0S      1.885e+07  3.930e+06   4.796 1.64e-06 ***
runtime47M 0S         -3.987e+05  3.672e+06  -0.109 0.913537    
runtime48H 34M 0S      1.577e+06  4.145e+06   0.381 0.703532    
runtime48M 0S          1.095e+05  3.297e+06   0.033 0.973492    
runtime49H 3M 0S      -3.927e+05  4.475e+06  -0.088 0.930077    
runtime49H 51M 0S      4.058e+06  4.143e+06   0.980 0.327279    
runtime49M 0S         -1.396e+05  4.477e+06  -0.031 0.975127    
runtime4H 0M 0S        4.953e+05  3.092e+06   0.160 0.872720    
runtime4H 10M 0S       6.109e+05  3.196e+06   0.191 0.848403    
runtime4H 11M 0S       7.067e+05  3.049e+06   0.232 0.816716    
runtime4H 12M 0S       3.243e+05  3.069e+06   0.106 0.915850    
runtime4H 13M 0S       4.662e+05  3.139e+06   0.149 0.881924    
runtime4H 14M 0S      -1.526e+05  3.297e+06  -0.046 0.963090    
runtime4H 15M 0S       1.359e+05  3.072e+06   0.044 0.964714    
runtime4H 16M 0S       4.370e+05  3.223e+06   0.136 0.892144    
runtime4H 17M 0S       9.276e+05  3.185e+06   0.291 0.770856    
runtime4H 18M 0S       6.823e+06  3.147e+06   2.168 0.030148 *  
runtime4H 19M 0S      -9.696e+04  3.069e+06  -0.032 0.974795    
runtime4H 1M 0S        8.055e+04  3.097e+06   0.026 0.979247    
runtime4H 20M 0S       3.267e+05  3.012e+06   0.108 0.913629    
runtime4H 21M 0S       5.785e+05  3.032e+06   0.191 0.848689    
runtime4H 22M 0S       9.427e+05  3.155e+06   0.299 0.765115    
runtime4H 23M 0S       1.184e+06  3.321e+06   0.357 0.721467    
runtime4H 24M 0S       1.062e+06  3.125e+06   0.340 0.733878    
runtime4H 25M 0S       2.498e+06  3.276e+06   0.762 0.445831    
runtime4H 26M 0S       9.515e+05  3.107e+06   0.306 0.759421    
runtime4H 27M 0S       2.063e+05  3.079e+06   0.067 0.946580    
runtime4H 28M 0S       4.708e+05  3.017e+06   0.156 0.875991    
runtime4H 29M 0S       8.161e+05  3.056e+06   0.267 0.789457    
runtime4H 2M 0S        7.535e+05  3.092e+06   0.244 0.807469    
runtime4H 30M 0S       3.161e+05  3.046e+06   0.104 0.917351    
runtime4H 31M 0S       3.092e+05  3.076e+06   0.101 0.919922    
runtime4H 32M 0S       1.778e+05  3.107e+06   0.057 0.954367    
runtime4H 33M 0S       2.723e+05  3.001e+06   0.091 0.927710    
runtime4H 34M 0S       4.789e+04  3.297e+06   0.015 0.988410    
runtime4H 35M 0S       4.617e+05  3.051e+06   0.151 0.879729    
runtime4H 36M 0S       1.587e+05  3.101e+06   0.051 0.959185    
runtime4H 37M 0S       1.441e+06  3.196e+06   0.451 0.652131    
runtime4H 38M 0S       1.688e+06  3.107e+06   0.543 0.586928    
runtime4H 39M 0S       2.820e+05  3.112e+06   0.091 0.927808    
runtime4H 3M 0S        2.845e+04  3.101e+06   0.009 0.992682    
runtime4H 40M 0S       2.619e+06  3.051e+06   0.858 0.390693    
runtime4H 41M 0S      -1.106e+05  3.131e+06  -0.035 0.971813    
runtime4H 42M 0S       2.431e+05  3.017e+06   0.081 0.935758    
runtime4H 43M 0S       8.904e+05  3.238e+06   0.275 0.783363    
runtime4H 44M 0S       4.215e+06  3.006e+06   1.402 0.160969    
runtime4H 45M 0S       7.867e+05  3.083e+06   0.255 0.798605    
runtime4H 46M 0S       6.174e+05  3.060e+06   0.202 0.840076    
runtime4H 47M 0S       3.593e+05  3.079e+06   0.117 0.907118    
runtime4H 48M 0S       8.269e+05  3.022e+06   0.274 0.784397    
runtime4H 49M 0S       7.289e+05  3.028e+06   0.241 0.809787    
runtime4H 4M 0S        2.130e+06  3.256e+06   0.654 0.512890    
runtime4H 50M 0S      -1.531e+05  3.155e+06  -0.049 0.961285    
runtime4H 51M 0S       1.658e+05  3.046e+06   0.054 0.956591    
runtime4H 52M 0S       6.655e+05  3.072e+06   0.217 0.828527    
runtime4H 53M 0S       4.676e+05  3.076e+06   0.152 0.879172    
runtime4H 54M 0S       1.177e+06  3.139e+06   0.375 0.707598    
runtime4H 55M 0S       5.261e+05  3.092e+06   0.170 0.864889    
runtime4H 56M 0S       1.757e+06  3.092e+06   0.568 0.569972    
runtime4H 57M 0S       9.335e+05  3.065e+06   0.305 0.760743    
runtime4H 58M 0S       5.837e+05  3.046e+06   0.192 0.848048    
runtime4H 59M 0S       1.147e+06  3.125e+06   0.367 0.713544    
runtime4H 5M 0S        4.326e+04  3.223e+06   0.013 0.989289    
runtime4H 6M 0S        7.498e+05  3.146e+06   0.238 0.811664    
runtime4H 7M 0S        3.847e+05  3.119e+06   0.123 0.901831    
runtime4H 8M 0S        4.724e+05  3.107e+06   0.152 0.879135    
runtime4H 9M 0S       -1.265e+05  3.059e+06  -0.041 0.967010    
runtime50H 52M 0S      2.408e+06  6.551e+06   0.368 0.713211    
runtime50M 0S          2.602e+05  3.185e+06   0.082 0.934900    
runtime51M 0S          2.561e+05  3.196e+06   0.080 0.936145    
runtime52H 25M 0S      1.603e+06  4.145e+06   0.387 0.698884    
runtime52H 39M 0S      2.000e+06  6.551e+06   0.305 0.760171    
runtime52H 7M 0S       8.718e+05  4.142e+06   0.210 0.833324    
runtime52M 0S          2.381e+04  3.466e+06   0.007 0.994520    
runtime53H 1M 0S       1.917e+06  6.551e+06   0.293 0.769821    
runtime53M 0S         -4.800e+05  3.240e+06  -0.148 0.882209    
runtime54H 22M 0S      7.855e+06  5.076e+06   1.548 0.121750    
runtime54M 0S          3.386e+05  3.140e+06   0.108 0.914138    
runtime55M 0S         -7.582e+04  3.256e+06  -0.023 0.981425    
runtime56M 0S          9.737e+05  3.275e+06   0.297 0.766257    
runtime57M 0S          1.180e+06  3.126e+06   0.377 0.705951    
runtime58M 0S          7.416e+05  3.077e+06   0.241 0.809537    
runtime59M 0S          4.983e+05  3.018e+06   0.165 0.868843    
runtime5H 0M 0S        7.100e+05  3.040e+06   0.234 0.815312    
runtime5H 10M 0S       1.449e+06  3.140e+06   0.461 0.644518    
runtime5H 11M 0S       9.366e+05  3.044e+06   0.308 0.758333    
runtime5H 12M 0S       1.074e+06  3.019e+06   0.356 0.722013    
runtime5H 13M 0S       1.369e+06  3.049e+06   0.449 0.653389    
runtime5H 14M 0S       6.182e+05  3.002e+06   0.206 0.836877    
runtime5H 15M 0S       7.060e+05  3.054e+06   0.231 0.817168    
runtime5H 16M 0S       8.011e+05  3.132e+06   0.256 0.798106    
runtime5H 17M 0S       1.286e+06  3.113e+06   0.413 0.679634    
runtime5H 18M 0S       1.504e+06  3.073e+06   0.489 0.624550    
runtime5H 19M 0S       3.996e+05  3.072e+06   0.130 0.896506    
runtime5H 1M 0S        7.808e+05  3.076e+06   0.254 0.799614    
runtime5H 20M 0S       7.784e+05  3.088e+06   0.252 0.800966    
runtime5H 21M 0S       2.316e+06  3.164e+06   0.732 0.464217    
runtime5H 22M 0S      -2.659e+05  3.174e+06  -0.084 0.933221    
runtime5H 23M 0S       2.594e+05  3.072e+06   0.084 0.932707    
runtime5H 24M 0S       7.027e+06  3.275e+06   2.146 0.031909 *  
runtime5H 25M 0S       7.533e+05  3.092e+06   0.244 0.807511    
runtime5H 26M 0S       1.159e+05  3.209e+06   0.036 0.971184    
runtime5H 27M 0S      -2.608e+04  3.107e+06  -0.008 0.993302    
runtime5H 28M 0S       5.410e+05  3.080e+06   0.176 0.860562    
runtime5H 29M 0S       1.012e+06  3.062e+06   0.330 0.741180    
runtime5H 2M 0S        2.213e+06  3.060e+06   0.723 0.469597    
runtime5H 30M 0S       2.990e+06  3.164e+06   0.945 0.344575    
runtime5H 31M 0S       2.306e+06  3.155e+06   0.731 0.464953    
runtime5H 32M 0S       1.066e+06  3.054e+06   0.349 0.727017    
runtime5H 33M 0S       2.442e+06  3.164e+06   0.772 0.440217    
runtime5H 34M 0S       4.518e+04  3.155e+06   0.014 0.988574    
runtime5H 35M 0S       4.207e+06  3.223e+06   1.306 0.191742    
runtime5H 36M 0S      -2.018e+05  3.209e+06  -0.063 0.949850    
runtime5H 37M 0S       5.590e+05  3.079e+06   0.182 0.855968    
runtime5H 38M 0S       7.158e+05  3.125e+06   0.229 0.818819    
runtime5H 39M 0S       1.865e+06  3.224e+06   0.578 0.563026    
runtime5H 3M 0S        1.024e+06  3.107e+06   0.330 0.741723    
runtime5H 40M 0S       6.999e+05  3.092e+06   0.226 0.820935    
runtime5H 41M 0S       1.077e+05  3.184e+06   0.034 0.973021    
runtime5H 42M 0S       6.994e+05  3.155e+06   0.222 0.824553    
runtime5H 43M 0S       8.689e+05  3.051e+06   0.285 0.775829    
runtime5H 44M 0S       6.143e+05  3.131e+06   0.196 0.844474    
runtime5H 45M 0S       2.582e+03  3.196e+06   0.001 0.999355    
runtime5H 46M 0S       3.230e+06  3.088e+06   1.046 0.295580    
runtime5H 47M 0S       7.504e+05  3.131e+06   0.240 0.810607    
runtime5H 48M 0S       9.801e+05  3.093e+06   0.317 0.751351    
runtime5H 49M 0S       2.518e+06  3.113e+06   0.809 0.418561    
runtime5H 4M 0S        2.605e+06  3.092e+06   0.842 0.399630    
runtime5H 50M 0S       1.604e+06  3.164e+06   0.507 0.612251    
runtime5H 51M 0S       1.676e+06  3.164e+06   0.530 0.596462    
runtime5H 52M 0S       4.994e+05  3.102e+06   0.161 0.872087    
runtime5H 53M 0S       1.306e+06  3.223e+06   0.405 0.685435    
runtime5H 54M 0S       3.669e+05  3.223e+06   0.114 0.909349    
runtime5H 55M 0S       4.787e+04  3.147e+06   0.015 0.987861    
runtime5H 56M 0S       4.722e+05  3.112e+06   0.152 0.879409    
runtime5H 57M 0S       5.372e+06  3.174e+06   1.693 0.090517 .  
runtime5H 58M 0S       7.029e+05  3.131e+06   0.224 0.822410    
runtime5H 59M 0S       7.869e+05  3.132e+06   0.251 0.801620    
runtime5H 5M 0S        1.039e+06  3.063e+06   0.339 0.734493    
runtime5H 6M 0S        1.493e+06  3.065e+06   0.487 0.626169    
runtime5H 7M 0S        1.434e+06  3.009e+06   0.477 0.633639    
runtime5H 8M 0S        8.428e+05  3.038e+06   0.277 0.781459    
runtime5H 9M 0S        2.665e+06  3.088e+06   0.863 0.388159    
runtime62H 36M 0S      2.592e+06  4.145e+06   0.625 0.531687    
runtime63H 33M 0S      1.367e+06  4.145e+06   0.330 0.741461    
runtime65H 49M 0S      2.222e+06  4.145e+06   0.536 0.591853    
runtime67H 45M 0S      2.055e+06  4.145e+06   0.496 0.619983    
runtime6H 0M 0S        6.010e+05  3.146e+06   0.191 0.848527    
runtime6H 10M 0S       1.638e+05  3.131e+06   0.052 0.958284    
runtime6H 11M 0S       3.825e+06  3.155e+06   1.213 0.225322    
runtime6H 12M 0S       1.144e+06  3.119e+06   0.367 0.713847    
runtime6H 13M 0S       1.106e+06  3.112e+06   0.355 0.722281    
runtime6H 14M 0S       2.458e+06  3.466e+06   0.709 0.478256    
runtime6H 15M 0S       1.184e+06  3.196e+06   0.371 0.710998    
runtime6H 16M 0S       7.420e+05  3.097e+06   0.240 0.810655    
runtime6H 17M 0S       4.465e+05  3.382e+06   0.132 0.894982    
runtime6H 18M 0S       2.632e+05  3.209e+06   0.082 0.934634    
runtime6H 19M 0S       9.087e+05  3.125e+06   0.291 0.771236    
runtime6H 1M 0S        2.772e+05  3.097e+06   0.090 0.928663    
runtime6H 20M 0S       1.835e+05  3.275e+06   0.056 0.955319    
runtime6H 21M 0S       7.520e+05  3.239e+06   0.232 0.816396    
runtime6H 22M 0S       1.631e+05  3.223e+06   0.051 0.959635    
runtime6H 23M 0S       9.742e+05  3.276e+06   0.297 0.766173    
runtime6H 24M 0S       1.648e+06  3.125e+06   0.527 0.597996    
runtime6H 25M 0S       2.521e+06  3.125e+06   0.807 0.419843    
runtime6H 26M 0S       7.614e+05  3.322e+06   0.229 0.818701    
runtime6H 27M 0S       9.741e+05  3.112e+06   0.313 0.754296    
runtime6H 28M 0S       6.051e+05  3.209e+06   0.189 0.850422    
runtime6H 29M 0S       6.275e+05  3.072e+06   0.204 0.838152    
runtime6H 2M 0S        1.060e+06  3.125e+06   0.339 0.734449    
runtime6H 30M 0S       7.092e+06  3.256e+06   2.178 0.029397 *  
runtime6H 31M 0S       9.824e+05  3.125e+06   0.314 0.753250    
runtime6H 32M 0S       9.835e+04  3.587e+06   0.027 0.978129    
runtime6H 33M 0S      -9.393e+04  3.421e+06  -0.027 0.978095    
runtime6H 34M 0S       1.768e+06  3.107e+06   0.569 0.569268    
runtime6H 35M 0S       3.168e+06  3.164e+06   1.001 0.316743    
runtime6H 36M 0S       1.188e+06  3.323e+06   0.358 0.720611    
runtime6H 37M 0S       1.118e+06  3.520e+06   0.318 0.750694    
runtime6H 38M 0S       1.826e+06  4.475e+06   0.408 0.683179    
runtime6H 39M 0S      -2.105e+05  3.256e+06  -0.065 0.948451    
runtime6H 3M 0S        1.263e+06  3.131e+06   0.403 0.686773    
runtime6H 40M 0S       1.048e+06  3.139e+06   0.334 0.738591    
runtime6H 41M 0S       1.096e+07  3.588e+06   3.055 0.002256 ** 
runtime6H 42M 0S       5.702e+05  3.520e+06   0.162 0.871331    
runtime6H 43M 0S       6.634e+05  3.118e+06   0.213 0.831540    
runtime6H 44M 0S       4.486e+05  3.164e+06   0.142 0.887239    
runtime6H 45M 0S       2.445e+05  3.466e+06   0.071 0.943757    
runtime6H 46M 0S       8.223e+05  3.275e+06   0.251 0.801747    
runtime6H 47M 0S       5.418e+05  3.184e+06   0.170 0.864895    
runtime6H 48M 0S       9.119e+05  3.275e+06   0.278 0.780663    
runtime6H 49M 0S       1.912e+06  3.275e+06   0.584 0.559291    
runtime6H 4M 0S        1.595e+05  3.113e+06   0.051 0.959123    
runtime6H 50M 0S       5.373e+05  3.350e+06   0.160 0.872560    
runtime6H 51M 0S       8.802e+05  3.588e+06   0.245 0.806199    
runtime6H 52M 0S      -9.229e+04  3.139e+06  -0.029 0.976542    
runtime6H 53M 0S       7.408e+05  3.322e+06   0.223 0.823518    
runtime6H 54M 0S       2.298e+05  3.256e+06   0.071 0.943732    
runtime6H 55M 0S       1.317e+06  3.322e+06   0.397 0.691708    
runtime6H 56M 0S       2.978e+06  3.185e+06   0.935 0.349797    
runtime6H 57M 0S       1.500e+06  3.590e+06   0.418 0.676001    
runtime6H 58M 0S       2.510e+06  4.145e+06   0.606 0.544740    
runtime6H 59M 0S      -1.405e+05  3.196e+06  -0.044 0.964938    
runtime6H 5M 0S        9.608e+05  3.209e+06   0.299 0.764649    
runtime6H 6M 0S        3.766e+05  3.125e+06   0.121 0.904058    
runtime6H 7M 0S        9.136e+05  3.321e+06   0.275 0.783281    
runtime6H 8M 0S        4.468e+05  3.174e+06   0.141 0.888031    
runtime6H 9M 0S        1.343e+06  3.322e+06   0.404 0.686079    
runtime6M 0S          -7.703e+05  4.474e+06  -0.172 0.863321    
runtime79H 5M 0S       3.587e+06  5.076e+06   0.707 0.479710    
runtime7H 0M 0S        8.721e+02  3.256e+06   0.000 0.999786    
runtime7H 10M 0S       1.132e+07  3.184e+06   3.556 0.000378 ***
runtime7H 11M 0S       5.207e+04  3.421e+06   0.015 0.987854    
runtime7H 12M 0S       1.033e+06  3.256e+06   0.317 0.751123    
runtime7H 13M 0S       1.484e+06  3.784e+06   0.392 0.694872    
runtime7H 14M 0S       1.521e+06  3.521e+06   0.432 0.665730    
runtime7H 15M 0S       3.380e+06  3.174e+06   1.065 0.286981    
runtime7H 16M 0S       1.103e+06  3.155e+06   0.350 0.726645    
runtime7H 17M 0S      -5.809e+05  3.672e+06  -0.158 0.874324    
runtime7H 18M 0S       5.846e+05  3.275e+06   0.178 0.858345    
runtime7H 19M 0S       1.305e+06  3.196e+06   0.408 0.683079    
runtime7H 1M 0S        5.680e+05  3.256e+06   0.174 0.861512    
runtime7H 20M 0S       1.387e+06  3.209e+06   0.432 0.665574    
runtime7H 21M 0S       9.107e+05  3.146e+06   0.289 0.772244    
runtime7H 22M 0S       3.277e+06  3.521e+06   0.931 0.351976    
runtime7H 23M 0S       6.398e+05  3.383e+06   0.189 0.850012    
runtime7H 24M 0S       4.491e+06  3.672e+06   1.223 0.221346    
runtime7H 25M 0S       1.572e+06  3.588e+06   0.438 0.661311    
runtime7H 26M 0S       1.107e+06  3.467e+06   0.319 0.749492    
runtime7H 27M 0S      -6.120e+04  3.209e+06  -0.019 0.984785    
runtime7H 28M 0S       3.436e+05  3.420e+06   0.100 0.919973    
runtime7H 29M 0S       3.996e+06  3.322e+06   1.203 0.229026    
runtime7H 2M 0S        9.413e+04  3.174e+06   0.030 0.976341    
runtime7H 30M 0S       9.152e+05  3.349e+06   0.273 0.784675    
runtime7H 31M 0S       1.689e+06  4.143e+06   0.408 0.683453    
runtime7H 32M 0S       7.494e+05  3.587e+06   0.209 0.834521    
runtime7H 33M 0S       1.365e+06  3.383e+06   0.404 0.686460    
runtime7H 34M 0S       2.114e+06  3.382e+06   0.625 0.532048    
runtime7H 35M 0S       3.161e+05  3.155e+06   0.100 0.920198    
runtime7H 36M 0S       2.736e+06  3.587e+06   0.763 0.445604    
runtime7H 37M 0S       1.900e+06  3.196e+06   0.594 0.552268    
runtime7H 38M 0S       1.307e+06  3.297e+06   0.396 0.691777    
runtime7H 39M 0S       9.934e+05  3.351e+06   0.296 0.766873    
runtime7H 3M 0S        4.601e+05  3.930e+06   0.117 0.906806    
runtime7H 40M 0S       1.869e+06  4.145e+06   0.451 0.652129    
runtime7H 41M 0S       1.014e+06  3.147e+06   0.322 0.747366    
runtime7H 42M 0S       3.967e+05  3.351e+06   0.118 0.905751    
runtime7H 43M 0S       1.274e+05  3.587e+06   0.036 0.971661    
runtime7H 44M 0S       3.813e+06  3.165e+06   1.205 0.228393    
runtime7H 46M 0S       1.989e+06  3.210e+06   0.620 0.535556    
runtime7H 47M 0S       2.125e+05  4.142e+06   0.051 0.959087    
runtime7H 48M 0S      -4.218e+04  4.144e+06  -0.010 0.991878    
runtime7H 49M 0S       5.786e+05  3.782e+06   0.153 0.878408    
runtime7H 4M 0S        1.102e+06  3.466e+06   0.318 0.750485    
runtime7H 50M 0S       9.572e+05  3.276e+06   0.292 0.770120    
runtime7H 51M 0S       9.488e+05  4.143e+06   0.229 0.818836    
runtime7H 52M 0S       1.742e+06  3.522e+06   0.494 0.620966    
runtime7H 53M 0S       1.586e+06  3.156e+06   0.503 0.615224    
runtime7H 54M 0S       1.086e+07  3.256e+06   3.335 0.000857 ***
runtime7H 55M 0S       7.025e+05  3.350e+06   0.210 0.833890    
runtime7H 56M 0S       1.105e+06  3.275e+06   0.337 0.735944    
runtime7H 57M 0S      -3.566e+05  3.521e+06  -0.101 0.919324    
runtime7H 58M 0S       3.504e+07  4.474e+06   7.833 5.15e-15 ***
runtime7H 59M 0S       9.875e+06  3.588e+06   2.753 0.005921 ** 
runtime7H 5M 0S        3.367e+06  3.383e+06   0.995 0.319616    
runtime7H 6M 0S        2.540e+07  5.074e+06   5.006 5.64e-07 ***
runtime7H 7M 0S        1.252e+06  3.132e+06   0.400 0.689330    
runtime7H 8M 0S        1.993e+06  3.297e+06   0.605 0.545406    
runtime7H 9M 0S        4.488e+04  3.466e+06   0.013 0.989669    
runtime8H 0M 0S        1.328e+06  3.782e+06   0.351 0.725495    
runtime8H 10M 0S       2.964e+06  3.932e+06   0.754 0.450918    
runtime8H 11M 0S       1.911e+06  3.275e+06   0.584 0.559488    
runtime8H 12M 0S       1.774e+06  3.322e+06   0.534 0.593400    
runtime8H 13M 0S       8.872e+05  3.275e+06   0.271 0.786459    
runtime8H 14M 0S       5.068e+05  3.275e+06   0.155 0.877008    
runtime8H 15M 0S       2.207e+06  3.522e+06   0.627 0.530873    
runtime8H 16M 0S       2.421e+07  3.522e+06   6.872 6.60e-12 ***
runtime8H 17M 0S       1.344e+06  3.382e+06   0.397 0.691119    
runtime8H 18M 0S      -5.768e+05  3.587e+06  -0.161 0.872272    
runtime8H 19M 0S       2.696e+06  3.118e+06   0.865 0.387294    
runtime8H 1M 0S       -5.607e+05  3.930e+06  -0.143 0.886544    
runtime8H 20M 0S       1.137e+06  3.421e+06   0.332 0.739574    
runtime8H 21M 0S       1.126e+06  3.588e+06   0.314 0.753615    
runtime8H 22M 0S       1.517e+06  3.383e+06   0.448 0.653974    
runtime8H 23M 0S       8.454e+05  3.321e+06   0.255 0.799084    
runtime8H 24M 0S       3.049e+06  3.256e+06   0.937 0.349030    
runtime8H 25M 0S       1.804e+06  3.588e+06   0.503 0.615196    
runtime8H 26M 0S       1.037e+06  3.587e+06   0.289 0.772499    
runtime8H 27M 0S       9.726e+06  3.223e+06   3.018 0.002550 ** 
runtime8H 28M 0S       4.485e+05  4.142e+06   0.108 0.913780    
runtime8H 2M 0S        5.784e+06  4.152e+06   1.393 0.163671    
runtime8H 30M 0S       8.200e+05  3.588e+06   0.229 0.819211    
runtime8H 31M 0S       4.548e+06  3.466e+06   1.312 0.189444    
runtime8H 33M 0S       3.162e+05  3.520e+06   0.090 0.928427    
runtime8H 34M 0S       3.885e+05  3.588e+06   0.108 0.913762    
runtime8H 35M 0S       2.070e+06  3.466e+06   0.597 0.550329    
runtime8H 36M 0S       1.557e+07  3.672e+06   4.241 2.24e-05 ***
runtime8H 37M 0S      -5.132e+05  4.142e+06  -0.124 0.901410    
runtime8H 38M 0S      -2.940e+05  4.143e+06  -0.071 0.943418    
runtime8H 39M 0S      -2.973e+05  4.142e+06  -0.072 0.942777    
runtime8H 3M 0S        2.293e+05  3.164e+06   0.072 0.942227    
runtime8H 40M 0S       7.181e+05  3.587e+06   0.200 0.841361    
runtime8H 42M 0S       1.011e+06  3.382e+06   0.299 0.765114    
runtime8H 45M 0S       2.115e+06  3.210e+06   0.659 0.509929    
runtime8H 46M 0S       1.386e+05  3.382e+06   0.041 0.967314    
runtime8H 49M 0S       1.307e+06  3.383e+06   0.386 0.699208    
runtime8H 4M 0S        3.351e+05  3.587e+06   0.093 0.925580    
runtime8H 50M 0S       1.487e+06  3.782e+06   0.393 0.694180    
runtime8H 51M 0S       3.065e+06  3.350e+06   0.915 0.360177    
runtime8H 52M 0S       5.694e+05  4.142e+06   0.137 0.890674    
runtime8H 53M 0S       9.255e+05  3.275e+06   0.283 0.777478    
runtime8H 54M 0S       8.892e+05  4.142e+06   0.215 0.830035    
runtime8H 55M 0S       1.367e+06  3.350e+06   0.408 0.683231    
runtime8H 56M 0S       1.739e+06  4.143e+06   0.420 0.674626    
runtime8H 57M 0S       6.814e+05  3.587e+06   0.190 0.849362    
runtime8H 58M 0S       5.349e+06  3.466e+06   1.543 0.122818    
runtime8H 59M 0S       1.728e+06  3.782e+06   0.457 0.647647    
runtime8H 6M 0S        2.090e+06  3.521e+06   0.594 0.552752    
runtime8H 7M 0S        1.797e+06  6.551e+06   0.274 0.783913    
runtime8H 8M 0S        7.844e+05  3.588e+06   0.219 0.826960    
runtime8H 9M 0S        3.638e+05  3.466e+06   0.105 0.916401    
runtime9H 0M 0S       -3.192e+05  4.144e+06  -0.077 0.938608    
runtime9H 10M 0S       3.101e+06  3.521e+06   0.881 0.378567    
runtime9H 11M 0S       1.602e+06  3.350e+06   0.478 0.632457    
runtime9H 12M 0S       2.099e+04  3.520e+06   0.006 0.995243    
runtime9H 13M 0S       1.689e+05  4.142e+06   0.041 0.967478    
runtime9H 14M 0S       2.800e+06  3.782e+06   0.741 0.458976    
runtime9H 16M 0S       2.551e+06  3.275e+06   0.779 0.436043    
runtime9H 18M 0S       2.892e+06  3.590e+06   0.806 0.420486    
runtime9H 19M 0S       3.627e+05  3.589e+06   0.101 0.919524    
runtime9H 1M 0S        1.852e+06  3.589e+06   0.516 0.605865    
runtime9H 20M 0S       1.887e+06  3.351e+06   0.563 0.573332    
runtime9H 21M 0S       1.561e+05  3.588e+06   0.044 0.965298    
runtime9H 22M 0S      -7.823e+05  4.143e+06  -0.189 0.850216    
runtime9H 23M 0S       2.135e+06  4.145e+06   0.515 0.606548    
runtime9H 24M 0S       2.287e+06  3.155e+06   0.725 0.468577    
runtime9H 25M 0S       1.146e+06  3.322e+06   0.345 0.730058    
runtime9H 26M 0S       8.195e+06  3.932e+06   2.084 0.037182 *  
runtime9H 27M 0S       1.944e+05  4.142e+06   0.047 0.962578    
runtime9H 28M 0S       2.605e+06  5.074e+06   0.513 0.607637    
runtime9H 2M 0S        8.343e+05  3.383e+06   0.247 0.805211    
runtime9H 31M 0S       1.318e+06  3.421e+06   0.385 0.700099    
runtime9H 32M 0S       3.295e+06  4.146e+06   0.795 0.426773    
runtime9H 33M 0S       7.713e+05  3.383e+06   0.228 0.819630    
runtime9H 34M 0S       1.663e+06  4.143e+06   0.401 0.688217    
runtime9H 37M 0S       3.416e+06  4.477e+06   0.763 0.445407    
runtime9H 38M 0S       1.137e+06  3.588e+06   0.317 0.751256    
runtime9H 39M 0S       5.775e+06  3.930e+06   1.470 0.141718    
runtime9H 3M 0S        9.783e+05  3.382e+06   0.289 0.772398    
runtime9H 40M 0S       1.022e+06  3.275e+06   0.312 0.754997    
runtime9H 42M 0S       2.027e+06  3.522e+06   0.575 0.565008    
runtime9H 44M 0S       5.096e+05  3.276e+06   0.156 0.876371    
runtime9H 45M 0S       2.159e+06  3.589e+06   0.602 0.547470    
runtime9H 46M 0S       2.922e+06  3.590e+06   0.814 0.415735    
runtime9H 47M 0S       1.207e+06  3.321e+06   0.363 0.716389    
runtime9H 49M 0S       1.948e+06  4.145e+06   0.470 0.638331    
runtime9H 4M 0S        1.187e+06  3.383e+06   0.351 0.725750    
runtime9H 50M 0S       7.839e+05  5.074e+06   0.154 0.877235    
runtime9H 51M 0S      -1.320e+05  4.477e+06  -0.029 0.976474    
runtime9H 52M 0S       6.762e+05  3.382e+06   0.200 0.841541    
runtime9H 53M 0S       2.683e+06  4.475e+06   0.600 0.548808    
runtime9H 55M 0S       2.215e+06  3.932e+06   0.563 0.573160    
runtime9H 57M 0S       4.154e+05  4.145e+06   0.100 0.920177    
runtime9H 58M 0S       7.329e+06  6.552e+06   1.119 0.263292    
runtime9H 59M 0S       3.206e+06  4.146e+06   0.773 0.439298    
runtime9H 5M 0S        7.507e+05  3.256e+06   0.231 0.817632    
runtime9H 7M 0S        7.288e+05  3.382e+06   0.215 0.829389    
runtime9H 8M 0S        9.487e+05  3.382e+06   0.280 0.779105    
runtime9H 9M 0S        5.246e+05  3.297e+06   0.159 0.873574    
months_since_release  -3.808e+04  1.915e+03 -19.883  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 5858000 on 12782 degrees of freedom
  (101 observations deleted due to missingness)
Multiple R-squared:  0.242, Adjusted R-squared:  0.1923 
F-statistic: 4.868 on 838 and 12782 DF,  p-value: < 2.2e-16

Discussion

The boxplots show that globally available titles generally have higher normalized engagement than regionally restricted titles, although the difference is not extremely large. There is still substantial variation within each group. Some regional titles perform very well, but globally available titles appear more often among the higher values. The scatter plots also show wide variation in normalized engagement across runtime ranges. However, globally available titles tend to appear more frequently in the upper part of the distribution, suggesting that broader release may help increase overall exposure.

The regression results are consistent with what we observe in the plots. After controlling for runtime and months since release, global availability is still associated with higher normalized engagement. At the same time, this should not be interpreted as a direct causal effect. Titles released globally may also have stronger marketing, larger budgets, or broader appeal. Overall, global availability appears to be related to stronger engagement, but it is likely one of several contributing factors.

Presentation

Our presentation can be found here.

Data

Netflix Engagement Reports data from the TidyTuesday project (2025-07-29). Originally published by Netflix and curated by the R4DS Online Learning Community.

  • Movies dataset: https://raw.githubusercontent.com/rfordatascience/tidytuesday/main/data/2025/2025-07-29/movies.csv
  • Shows dataset: https://raw.githubusercontent.com/rfordatascience/tidytuesday/main/data/2025/2025-07-29/shows.csv
  • OMDb API metadata for genre and language classification: https://www.omdbapi.com/

Retrieved: July 2025.

References

  1. R4DS Online Learning Community. (2025). TidyTuesday: Netflix Engagement Reports. GitHub. https://github.com/rfordatascience/tidytuesday/tree/main/data/2025/2025-07-29
  2. OMDb API — The Open Movie Database. https://www.omdbapi.com/
  3. Netflix. (2023–2025). Netflix Engagement Reports. https://about.netflix.com/en/news/what-we-watched-a-netflix-engagement-report