fix README

README.md

@@ -234,7 +234,14 @@ delta: -18537322405.459286, relative delta: -463.707799
 
 What is happening in this case is that you are taking a normal, like `normal(-0.195240, 4.883106)`, and you are exponentiating it to arrive at a lognormal. But `normal(-0.195240, 4.883106)` is going to have some noninsignificant weight on, say, 18. But `exp(18) = 39976300`, and points like it are going to end up a nontrivial amount to the analytical mean and standard deviation, even though they have little probability mass.
 
-Fortunately, the reader can also check that for more plausible real-world values, like the 
+The reader can also check that for more plausible real-world values, like those fitting a lognormal to a really wide 90% confidence interval from 10 to 10k, errors aren't eggregious:
+
+```
+[x] Mean test for to(10.000000, 10000.000000) PASSED
+[-] Std test for to(10.000000, 10000.000000) NOT passed.
+Std of to(10.000000, 10000.000000): 23578.091775, vs expected std: 25836.381819
+delta: -2258.290043, relative delta: -0.095779
+```
 
 ## Related projects
 
@@ -256,12 +263,12 @@ Fortunately, the reader can also check that for more plausible real-world values
 
 - [x] Add example for only one sample
 - [x] Add example for many samples
-- ~~[ ] Add a custom preprocessor to allow simple nested functions that don't rely on local scope?~~
+- [ ] ~~Add a custom preprocessor to allow simple nested functions that don't rely on local scope?~~
 - [x] Use gcc extension to define functions nested inside main.
 - [x] Chain various sample_mixture functions
 - [x] Add beta distribution
   - See <https://stats.stackexchange.com/questions/502146/how-does-numpy-generate-samples-from-a-beta-distribution> for a faster method.
-- ~~[-] Use OpenMP for acceleration~~
+- [ ] ~~Use OpenMP for acceleration~~
 - [x] Add function to get sample when given a cdf
 - [x] Don't have a single header file.
 - [x] Structure project a bit better
@@ -278,7 +285,7 @@ Fortunately, the reader can also check that for more plausible real-world values
 - [x] Add sampling from a gamma distribution
   - https://dl.acm.org/doi/pdf/10.1145/358407.358414
 - [x] Explain correlated samples
-- [-] ~~Add tests in Stan?~~
+- [ ] ~~Add tests in Stan?~~
 - [x] Test summary statistics for each of the distributions.
   - [x] For uniform
   - [x] For normal

test/test.c

@@ -303,6 +303,8 @@ int main()
             test_to(low, high, seed);
         }
     }
+		// Bonus example
+		test_to(10, 10 * 1000, seed);
 
     printf("Testing beta distribution\n");
     for (int i = 0; i < 100; i++) {