Details

Time bar (total: 10.2s)

sample305.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
7.0ms256×pre80true

simplify64.0ms

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:

0.0b
(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)
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite35.0ms

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)
16.0ms
(* (* 2.0 PI) u2)
12.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
463.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
269.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
702.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619

prune360.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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

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)
6.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
456.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (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 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify55.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0405555
11722486
25001486

prune305.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
11×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×prod-exp
6×log-prod
5×div-exp
4×expm1-log1p-u exp-prod cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac associate-*r* exp-sum pow-prod-down associate-/r*
2×cbrt-undiv pow-exp log-pow
1×pow-to-exp frac-2neg rem-log-exp associate-*l* clear-num *-commutative div-inv rem-exp-log associate-/l*
Counts
4 → 77
Calls
4 calls:
6.0ms
(* (* 2.0 PI) u2)
1.0ms
(log (fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5))
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
2.0ms
(exp (log (fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)))

series1.7s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) u2)
519.0ms
(log (fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5))
695.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
447.0ms
(exp (log (fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0406821
11658721
25001702

prune338.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.4b
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
99×prod-exp
40×pow-exp
29×add-sqr-sqrt
23×add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×pow-to-exp times-frac div-exp
15×associate-*l*
13×pow-unpow associate-*r*
12×pow1
10×cbrt-unprod
5×sqr-pow
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down associate-*l/ *-commutative
2×cbrt-undiv pow-pow div-inv
Counts
4 → 148
Calls
4 calls:
3.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
6.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))
19.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))

series1.7s

Counts
4 → 12
Calls
4 calls:
261.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
38.0ms
(* (* 2.0 PI) u2)
683.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))
685.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify64.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06211391
123961066
250011059

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes331.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8000×body80valid
194.0ms8000×pre80true