Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
10.0ms363×body80valid

simplify193.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0165
1404
2884
31424
42024
54004
613494
747084
850014

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b
(* (* x x) x)
0.1b
(* 0.12900613773279798 (* (* x x) x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
17×add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt pow-plus pow-prod-up
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff pow3 flip-- unswap-sqr
Counts
3 → 69
Calls
3 calls:
4.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
6.0ms
(* (* x x) x)
8.0ms
(* 0.12900613773279798 (* (* x x) x))

series176.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
33.0ms
(* (* x x) x)
42.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0241310
1969249
25002241

prune99.0ms

Filtered
78 candidates to 43 candidates (55.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New76278
Fresh011
Picked101
Done000
Total77380

Merged error: 0.0b

Counts
80 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
0.1b
(* (- 0.12900613773279798) (pow x 3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r*
10×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×add-exp-log
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×distribute-lft-neg-out cube-mult pow-to-exp neg-mul-1 unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 51
Calls
2 calls:
1.0ms
(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
8.0ms
(* (- 0.12900613773279798) (pow x 3))

series130.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(fma 0.954929658551372 x (* (- 0.12900613773279798) (pow x 3)))
43.0ms
(* (- 0.12900613773279798) (pow x 3))

simplify34.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183254
1832231
25001231

prune94.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh112
Picked011
Done000
Total57360

Merged error: 0b

Counts
60 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.954929658551372 x (* (* (- 0.12900613773279798) x) (* x x)))
0.2b
(* (* (- 0.12900613773279798) x) (* x x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
2×distribute-lft-neg-out add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×associate-*r* associate-*l* *-commutative fma-udef
Counts
2 → 35
Calls
2 calls:
1.0ms
(fma 0.954929658551372 x (* (* (- 0.12900613773279798) x) (* x x)))
8.0ms
(* (* (- 0.12900613773279798) x) (* x x))

series127.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(fma 0.954929658551372 x (* (* (- 0.12900613773279798) x) (* x x)))
43.0ms
(* (* (- 0.12900613773279798) x) (* x x))

simplify125.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0157224
1635182
23812176
35001176

prune54.0ms

Filtered
41 candidates to 25 candidates (61.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done011
Total41344

Merged error: 0b

Counts
44 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))
0.2b
(* (pow x 3) (sqrt 0.12900613773279798))
0.2b
(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-exp-log associate-*l*
10×add-cube-cbrt *-un-lft-identity prod-exp sqrt-prod add-cbrt-cube
8×unswap-sqr
7×associate-*r*
5×pow1 unpow-prod-down cube-prod add-log-exp
4×cbrt-unprod
3×expm1-log1p-u log1p-expm1-u sqr-pow
2×pow-to-exp pow-exp *-commutative
1×cube-mult sub-neg flip3-- fma-neg diff-log unpow3 prod-diff pow-prod-down flip--
Counts
3 → 80
Calls
3 calls:
4.0ms
(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))
7.0ms
(* (pow x 3) (sqrt 0.12900613773279798))
8.0ms
(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

series316.0ms

Counts
3 → 9
Calls
3 calls:
154.0ms
(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798))))
67.0ms
(* (pow x 3) (sqrt 0.12900613773279798))
94.0ms
(* (sqrt 0.12900613773279798) (* (pow x 3) (sqrt 0.12900613773279798)))

simplify56.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0264550
11166467
25001443

prune137.0ms

Filtered
89 candidates to 56 candidates (62.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3

regimes13.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1154
2164
3164

end0.0ms

sample448.0ms

Algorithm
intervals
Results
325.0ms11974×body80valid