add full DSl example to readme

README.md

@@ -13,19 +13,19 @@ Here is an example
 ```
 $ go run f.go
 5000000 12000000
-=> 5000000.0 12000000.0
-0.002 0.01
-=> 13859.5 86583.4
-30 180
-=> 706832.8 9167656.0
+=> 5.0M 12.0M
+* beta 1 200
+1.9K 123.1K
+* 30 180
+122.9K 11.7M
 / 48 52
-=> 14139.1 183614.7
+2.5K 234.6K
 / 5 6
-=> 2573.1 33632.0
+448.8 43.0K
 / 6 8
-=> 368.4 4893.5
+64.5 6.2K
 / 60
-=> 6.1 81.6
+1.1 103.7
 ```
 
 Perhaps this example is more understandable with comments and better units:
@@ -33,25 +33,46 @@ Perhaps this example is more understandable with comments and better units:
 ```
 $ sed -u "s|#.*||" | sed -u 's|M|000000|g' | go run f.go
 5M 12M # number of people living in Chicago
-=> 5000000.0 12000000.0
-0.002 0.01 # fraction of people that have a piano
-=> 13859.5 86583.4
+=> 5.0M 12.0M
+* beta 1 200 # fraction of people that have a piano
+1.9K 123.1K
 30 180 # minutes it takes to tune a piano, including travel time
-=> 706832.8 9167656.0
-/ 48 52 # weeks a year that piano tuners work for
-=> 14139.1 183614.7
-/ 5 6 # days a week in which piano tuners work
-=> 2573.1 33632.0
-/ 6 8 # hours a day in which piano tuners work
-=> 368.4 4893.5
+122.9K 11.7M
+/ 48 52 # weeks a year pianotuners work for
+2.5K 234.6K
+/ 6 8 # hours a day
+353.9 34.1K
 / 60 # minutes to an hour
-=> 6.1 81.6
-# ^ piano tuners in Chicago
+5.9 568.3
+=: piano_tuners_in_Chicago
+piano_tuners_in_Chicago => 5.9 568.3
 ```
 
-You can see a recording in action here:
+Here is instead an example using beta distributions and variables:
 
-[![asciicast](https://asciinema.org/a/fygBtg0XDc1iVajArdQn9b9CA.svg)](https://asciinema.org/a/fygBtg0XDc1iVajArdQn9b9CA)
+```
+1 2
+=> 1.0 2.0
+* 1_000_000_000
+=> 1000.0M 2.0B
+=: x # assign to variable
+x => 1000.0M 2.0B
+. # clear the stack, i.e., make it be 1
+
+beta 1 2
+=> beta 1.0 2.0
+beta 12 300
+=> beta 13.0 302.0
+=. y # assign to variable and clear the stack (return it to 1)
+y => beta 13.0 302.0
+
+x
+=> 1000.0M 2.0B
+* y
+=> samples 31.3M 98.2M
+```
+
+The difference between `=: x` and `=. y` is that `=.` clears the stack after the assignment.
 
 ## Installation
 
@@ -89,7 +110,9 @@ Note that these sed commands are just hacks, and won't parse e.g., `3.5K` correc
 
 ## Tips & tricks
 
-Conceptually clearer to have all the multiplications first and then all the divisions
+- It's conceptually clearer to have all the multiplications first and then all the divisions
+- Sums and divisions now also supported
+- For things between 0 and 1, consider using a beta distribution
 
 ## Roadmap 
 
@@ -116,20 +139,9 @@ Conceptually clearer to have all the multiplications first and then all the divi
   - Maps
   - Joint types
   - Enums
-- [ ] Fix correlation problem, by spinning up a new randomness thing every time some serial computation is done.
+- [x] Fix correlation problem, by spinning up a new randomness thing every time some serial computation is done.
+- [ ] Dump samples to file
+- [ ] Represent samples/statistics in some other way
+- [ ] Perhaps use qsort rather than full sorting
 
-Some possible syntax for a more expressive stack-based DSL
-
-```
-1B to 20B
-* 1 to 100
-/ beta 1 2 # or b 1 2
-=: x # content of the stack at this point saved into x
-
-1 to 10
-10 to 100
-=: y # content of the stack at this point saved into y
-
-x # put x on the stack
-- y # substract y from the content of the stack. Requires interpreting x and y as list of samples
-```
+Some possible syntax for a more expressive stack-based DSL (now implemented)

f.go

@@ -301,6 +301,7 @@ func prettyPrintDist(dist Dist) {
 		low := tmp_xs[low_int]
 		high_int := N_SAMPLES * 19 / 20
 		high := tmp_xs[high_int]
+		fmt.Printf("=> samples ")
 		prettyPrint2Floats(low, high)
 	case Beta:
 		fmt.Printf("=> beta ")