Details

Time bar (total: 10.5s)

sample282.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
4.0ms256×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)
0.2b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (/ 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:
451.0ms
(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)
703.0ms
(* (/ 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

prune368.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

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

rewrite16.0ms

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
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×expm1-log1p-u div-exp pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv frac-2neg associate-*l* clear-num *-commutative fma-udef div-inv
Counts
4 → 89
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)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
461.0ms
(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)
31.0ms
(* (* 2.0 PI) u2)
685.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0387666
11508612
25001612

prune366.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.9b
(exp (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))

rewrite23.0ms

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×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv exp-prod exp-to-pow associate-*l/ div-inv rem-exp-log
Counts
4 → 94
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
3.0ms
(exp (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))

series1.7s

Counts
4 → 12
Calls
4 calls:
255.0ms
(pow (* -2.0 (log u1)) 0.5)
36.0ms
(* (* 2.0 PI) u2)
674.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
720.0ms
(exp (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))

simplify45.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0412623
11591564
25001564

prune390.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×log-prod
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
19×exp-sum
11×pow1 add-cbrt-cube
10×unpow-prod-down sqr-pow
8×div-exp
5×rem-log-exp prod-exp associate-/l*
4×expm1-log1p-u exp-prod pow-exp log1p-expm1-u add-log-exp
3×associate-*r* pow-prod-down associate-/r* cbrt-unprod div-inv
2×pow-to-exp log-div log-pow
1×cbrt-undiv frac-2neg exp-diff associate-*l* clear-num *-commutative rem-exp-log
Counts
4 → 129
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
4.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))
5.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series2.2s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 PI) u2)
814.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))
691.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
678.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04341041
11471984
25002955

prune534.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes385.0ms

Accuracy

0% (0.3b 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
02311
12311

end0.0ms

sample932.0ms

Algorithm
intervals
Results
661.0ms8000×body80valid
122.0ms8000×pre80true