Details

Time bar (total: 9.6s)

sample292.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
5.0ms256×pre80true

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(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)
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite28.0ms

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:
0.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
3.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 2.0 PI) u2)
14.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
469.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
267.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
718.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify50.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619

prune354.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:
0.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
7.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
464.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
262.0ms
(pow (* -2.0 (log u1)) 0.5)
698.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
38.0ms
(* (* 2.0 PI) u2)

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0405555
11722486
25001486

prune301.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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) (sqrt u2))
0.3b
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
23×add-cbrt-cube
21×pow1
15×prod-exp
12×associate-*r*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow-prod-down cbrt-unprod
6×sqrt-prod
5×div-exp
4×expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
3×pow-unpow times-frac associate-/r*
2×cbrt-undiv pow-to-exp pow-pow associate-*l* *-commutative
1×unpow-prod-down frac-2neg clear-num div-inv associate-/l* sqr-pow
Counts
4 → 94
Calls
4 calls:
2.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
8.0ms
(* (* 2.0 PI) (sqrt u2))
26.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

series1.1s

Counts
4 → 12
Calls
4 calls:
268.0ms
(pow (* -2.0 (log u1)) 0.5)
699.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
78.0ms
(* (* 2.0 PI) (sqrt u2))
52.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

simplify58.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0506609
12229511
25002503

prune343.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (/ 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) (sqrt u2))
0.3b
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
74×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
40×add-exp-log
25×add-cbrt-cube
24×associate-/r*
18×pow1
16×unpow-prod-down sqr-pow
13×div-exp
12×associate-*r*
11×prod-exp
9×pow-prod-down cbrt-unprod
6×sqrt-prod div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
2×pow-to-exp frac-2neg associate-*l* clear-num *-commutative
1×associate-/r/
Counts
4 → 188
Calls
4 calls:
7.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
3.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
8.0ms
(* (* 2.0 PI) (sqrt u2))
26.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

series1.6s

Counts
4 → 12
Calls
4 calls:
714.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
765.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
79.0ms
(* (* 2.0 PI) (sqrt u2))
48.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

simplify100.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08291732
138181609
250011605

prune736.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes489.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample917.0ms

Algorithm
intervals
Results
634.0ms8000×body80valid
129.0ms8000×pre80true