Details

Time bar (total: 1.9m)

sample966.0ms

Algorithm
intervals
Results
143.0ms256×body80valid
29.0ms256×pre80true

simplify14.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
01819
13419
27119
315519
447219
5316119
done500019

prune172.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize146.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite907.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
189.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
185.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
255.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series8.7s

Counts
4 → 12
Calls
4 calls:
2.4s
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
1.5s
(pow (* -2.0 (log u1)) 0.5)
154.0ms
(* (* 2.0 PI) u2)
4.6s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify8.4s

Counts
99 → 99
Iterations

Useful iterations: done (8.2s)

IterNodesCost
02031408
15471350
225481230
done50001207

prune2.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.3b
(* (* 2.0 PI) u2)

rewrite513.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
276.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
28.0ms
(pow (* -2.0 (log u1)) 0.5)
86.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
61.0ms
(* (* 2.0 PI) u2)

series10.7s

Counts
4 → 12
Calls
4 calls:
3.5s
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
2.1s
(pow (* -2.0 (log u1)) 0.5)
4.4s
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
618.0ms
(* (* 2.0 PI) u2)

simplify6.4s

Counts
82 → 82
Iterations

Useful iterations: done (6.3s)

IterNodesCost
01841168
15161127
22465996
done5000983

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (* 2.0 PI) u2)
0.3b
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

rewrite646.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
33×associate-*l*
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
9×associate-*r*
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*l/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 112
Calls
4 calls:
10.0ms
(pow (* -2.0 (log u1)) 0.5)
225.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
294.0ms
(* (* 2.0 PI) u2)
67.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

series14.7s

Counts
4 → 12
Calls
4 calls:
1.4s
(pow (* -2.0 (log u1)) 0.5)
4.0s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
517.0ms
(* (* 2.0 PI) u2)
8.8s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

simplify6.1s

Counts
124 → 124
Iterations

Useful iterations: done (6.1s)

IterNodesCost
02001773
14851686
221321442
done50001413

prune3.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×div-exp
12×pow1
6×pow-exp prod-exp div-inv associate-/l*
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-to-exp pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 170
Calls
4 calls:
197.0ms
(pow (* -2.0 (log u1)) 0.5)
28.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
40.0ms
(* (* 2.0 PI) u2)
16.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

series9.5s

Counts
4 → 12
Calls
4 calls:
1.7s
(pow (* -2.0 (log u1)) 0.5)
3.4s
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
223.0ms
(* (* 2.0 PI) u2)
4.1s
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

simplify5.5s

Counts
182 → 182
Iterations

Useful iterations: done (5.3s)

IterNodesCost
03112933
18352833
239042667
done50012663

prune2.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes2.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

simplify104.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02025
12725
done2725

end0.0ms

sample11.4s

Algorithm
intervals
Results
10.1s8000×body80valid
774.0ms8000×pre80true