Details

Time bar (total: 11.4s)

sample290.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
5.0ms256×pre80true

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune9.0ms

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

rewrite55.0ms

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 +-commutative fma-def flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 96
Calls
4 calls:
29.0ms
(+ (* (* (/ 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)
6.0ms
(* (* 2.0 PI) u2)
12.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
445.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
260.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
680.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0523772
12229700
25001697

prune363.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

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)
0.2b
(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)

rewrite27.0ms

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
6×add-log-exp
5×div-exp
4×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod log1p-expm1-u
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down fma-def frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 79
Calls
4 calls:
12.0ms
(+ (* (/ (* 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)

series1.4s

Counts
4 → 12
Calls
4 calls:
451.0ms
(+ (* (/ (* 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)
682.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0472641
12101569
25002564

prune300.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
14×log-prod add-cbrt-cube
13×prod-exp
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×pow1
10×div-exp
9×times-frac
7×exp-sum
6×rem-log-exp
4×expm1-log1p-u exp-prod pow-exp cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*r* pow-prod-down associate-/r* div-inv
2×cbrt-undiv pow-to-exp log-div log-pow
1×frac-2neg exp-diff associate-*l* clear-num *-commutative rem-exp-log associate-/l*
Counts
4 → 92
Calls
4 calls:
6.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
6.0ms
(exp (log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))
3.0ms
(log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))

series2.2s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 2.0 PI) u2)
675.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
681.0ms
(exp (log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)))
792.0ms
(log (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0371670
11508594
25001582

prune359.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
163×add-exp-log
150×prod-exp
118×pow-exp
58×pow-to-exp
11×add-sqr-sqrt add-cbrt-cube
10×pow1
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×add-log-exp
5×pow-prod-down
4×expm1-log1p-u associate-*l* cbrt-unprod log1p-expm1-u
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
4 → 136
Calls
4 calls:
17.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
14.0ms
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
6.0ms
(* (* 2.0 PI) u2)
12.0ms
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

series2.7s

Counts
4 → 12
Calls
4 calls:
583.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
1.2s
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
38.0ms
(* (* 2.0 PI) u2)
940.0ms
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

simplify73.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06101532
122451433
250021430

prune381.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes314.0ms

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
02410
12410

end0.0ms

sample1.1s

Algorithm
intervals
Results
814.0ms8000×body80valid
125.0ms8000×pre80true