Details

Time bar (total: 27.0s)

sample152.0ms

Algorithm
intervals
Results
49.0ms256×body80valid
9.0ms256×pre80true

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01819
13419
27119
315219
444019
5138519
done500019

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (/ 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)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite157.0ms

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:
84.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
22.0ms
(* (* 2.0 PI) u2)
36.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.2s

Counts
4 → 12
Calls
4 calls:
668.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
398.0ms
(pow (* -2.0 (log u1)) 0.5)
56.0ms
(* (* 2.0 PI) u2)
1.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02031408
14991344
216551222
done50001191

prune523.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 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
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
0.3b
(* (* 2.0 PI) u2)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow1
11×add-cbrt-cube
6×add-log-exp
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×div-exp pow-prod-down pow-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
53.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
9.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
29.0ms
(* (* 2.0 PI) u2)

series2.4s

Counts
4 → 12
Calls
4 calls:
736.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
429.0ms
(pow (* -2.0 (log u1)) 0.5)
1.2s
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
58.0ms
(* (* 2.0 PI) u2)

simplify1.6s

Counts
96 → 96
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01951363
14351318
213951206
done50011175

prune534.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize45.0ms

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))

rewrite187.0ms

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:
6.0ms
(pow (* -2.0 (log u1)) 0.5)
110.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
35.0ms
(* (* 2.0 PI) u2)
32.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

series3.0s

Counts
4 → 12
Calls
4 calls:
803.0ms
(pow (* -2.0 (log u1)) 0.5)
1.1s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
62.0ms
(* (* 2.0 PI) u2)
1.0s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))

simplify1.9s

Counts
124 → 124
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02001773
14421551
214271422
done50011413

prune705.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
0.2b
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 182
Calls
4 calls:
13.0ms
(pow (* -2.0 (log u1)) 0.5)
16.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
23.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
35.0ms
(* (* 2.0 PI) u2)

series2.7s

Counts
4 → 12
Calls
4 calls:
409.0ms
(pow (* -2.0 (log u1)) 0.5)
1.0s
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
1.2s
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
56.0ms
(* (* 2.0 PI) u2)

simplify1.7s

Counts
194 → 194
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03003050
16342707
215662436
done50012391

prune756.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes562.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02025
12725
done2725

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.6s8000×body80valid
229.0ms8000×pre80true