Details

Time bar (total: 10.8s)

sample300.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (/ 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))

rewrite24.0ms

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
5×cbrt-unprod
4×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv associate-*l/ fma-udef div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
452.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
261.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
701.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* 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)
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

rewrite17.0ms

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
5×div-exp
4×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×unpow-prod-down frac-2neg associate-*l* clear-num *-commutative fma-udef div-inv associate-/l* sqr-pow
Counts
4 → 75
Calls
4 calls:
1.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
6.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
455.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
255.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
678.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0405555
11722486
25001486

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.4b
(expm1 (log1p (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
14×add-cbrt-cube
9×pow1
8×prod-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×expm1-log1p-u div-exp
4×cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac associate-*r* pow-prod-down associate-/r*
2×cbrt-undiv pow-exp
1×pow-to-exp log1p-udef expm1-log1p frac-2neg log1p-expm1 associate-*l* clear-num *-commutative div-inv associate-/l* expm1-udef
Counts
4 → 68
Calls
4 calls:
1.0ms
(log1p (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))
5.0ms
(* (* 2.0 PI) u2)
10.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
1.0ms
(expm1 (log1p (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))

series2.4s

Counts
4 → 12
Calls
4 calls:
823.0ms
(log1p (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))
31.0ms
(* (* 2.0 PI) u2)
687.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
872.0ms
(expm1 (log1p (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0334510
11332438
25001437

prune286.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.5b
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
0.7b
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
23×add-sqr-sqrt prod-exp
20×add-cbrt-cube
17×pow-exp
15×add-cube-cbrt *-un-lft-identity
14×associate-*l*
11×times-frac
10×pow1
8×cbrt-prod div-exp associate-*r*
7×cbrt-unprod
5×pow-to-exp sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow pow-prod-down associate-*l/ rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult unpow3 cube-prod *-commutative
1×cbrt-div pow-pow pow1/3 rem-cbrt-cube div-inv
Counts
4 → 115
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
3.0ms
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
7.0ms
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

series2.2s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) u2)
703.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
694.0ms
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
780.0ms
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0491825
12035784
25002782

prune433.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes321.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample943.0ms

Algorithm
intervals
Results
658.0ms8000×body80valid
133.0ms8000×pre80true