Details

Time bar (total: 11.6s)

sample282.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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))

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:
450.0ms
(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)
32.0ms
(* (* 2.0 PI) u2)
696.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619

prune353.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

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

rewrite17.0ms

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

series1.4s

Counts
4 → 12
Calls
4 calls:
452.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
256.0ms
(pow (* -2.0 (log u1)) 0.5)
679.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
36.0ms
(* (* 2.0 PI) u2)

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0405555
11722486
25001486

prune297.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×div-exp
12×pow1
6×pow-exp prod-exp div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 178
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
8.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series1.7s

Counts
4 → 12
Calls
4 calls:
254.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
746.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
683.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify83.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06951598
130341524
250011524

prune664.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.3b
(/ 1.0 (* 6.0 (pow (/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
0.3b
(* 6.0 (pow (/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
0.4b
(/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
936×add-exp-log
708×prod-exp
440×pow-exp
283×div-exp
254×pow-to-exp
93×rec-exp 1-exp
25×add-cbrt-cube
18×add-sqr-sqrt
14×associate-*r*
13×add-cube-cbrt *-un-lft-identity
10×pow1
9×times-frac
8×unpow-prod-down cbrt-unprod
6×associate-/l*
5×cbrt-undiv pow-prod-down
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×pow-flip frac-2neg clear-num associate-/r* *-commutative sqr-pow
1×inv-pow
Counts
4 → 380
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
23.0ms
(/ 1.0 (* 6.0 (pow (/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
17.0ms
(* 6.0 (pow (/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
13.0ms
(/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))))

series3.1s

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 PI) u2)
962.0ms
(/ 1.0 (* 6.0 (pow (/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
1.0s
(* 6.0 (pow (/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
1.0s
(/ 1 (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))))

simplify111.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
010164165
132913996
250013987

prune595.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes284.0ms

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
0219
1219

end0.0ms

sample929.0ms

Algorithm
intervals
Results
646.0ms8000×body80valid
133.0ms8000×pre80true