Details

Time bar (total: 7.8s)

sample248.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
11.0ms256×pre80true

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune19.0ms

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))

rewrite25.0ms

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)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series207.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
23.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
95.0ms
(* (/ 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

prune855.0ms

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)

rewrite15.0ms

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)
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
6.0ms
(* (* 2.0 PI) u2)

series185.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
23.0ms
(pow (* -2.0 (log u1)) 0.5)
79.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
2.0ms
(* (* 2.0 PI) u2)

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0405555
11722486
25001486

prune736.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
8.0ms
(* (* 2.0 PI) (sqrt u2))
27.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

series115.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (* -2.0 (log u1)) 0.5)
81.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
5.0ms
(* (* 2.0 PI) (sqrt u2))
5.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

simplify59.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0506609
12229511
25002503

prune870.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))
0.2b
(/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (* 2.0 PI) (sqrt u2))
0.3b
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log
36×times-frac
32×div-exp add-cbrt-cube
29×prod-exp
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1
12×associate-*r*
11×cbrt-unprod
9×pow-prod-down
8×pow-exp associate-/r*
7×cbrt-undiv
6×rec-exp 1-exp sqrt-prod div-inv associate-/l*
4×expm1-log1p-u pow-to-exp log1p-expm1-u add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
1×pow-flip associate-/r/ inv-pow
Counts
4 → 142
Calls
4 calls:
8.0ms
(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))
4.0ms
(/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))
8.0ms
(* (* 2.0 PI) (sqrt u2))
27.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

series191.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))
102.0ms
(/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5)))
5.0ms
(* (* 2.0 PI) (sqrt u2))
4.0ms
(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))

simplify79.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06591134
13060965
25002921

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes1.3s

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

sample1.5s

Algorithm
intervals
Results
1.0s8000×body80valid
300.0ms8000×pre80true