Details

Time bar (total: 3.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms346×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0113
1152
2162
3162

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*l*
14×add-sqr-sqrt
13×*-un-lft-identity
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
4×add-log-exp unswap-sqr
3×fma-def pow-prod-down prod-exp cbrt-unprod distribute-lft-out
2×expm1-log1p-u *-commutative log1p-expm1-u
1×+-commutative flip3-+ sum-log flip-+
Counts
2 → 52
Calls
2 calls:
10.0ms
(+ x (* (* y z) z))
7.0ms
(* (* y z) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ x (* (* y z) z))
32.0ms
(* (* y z) z)

simplify101.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0195202
1779174
23966174
35001173

prune84.0ms

Filtered
58 candidates to 41 candidates (29.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh011
Picked011
Done000
Total52860

Merged error: 0.0b

Counts
60 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y z)) (cbrt (* y z)))
9.8b
(cbrt (* y z))
9.8b
(cbrt (* y z))
9.8b
(cbrt (* y z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
67×add-sqr-sqrt
38×associate-*l*
36×associate-*r*
33×*-un-lft-identity
29×add-cube-cbrt
22×unswap-sqr
17×swap-sqr
11×pow1
9×pow1/3
8×*-commutative add-cbrt-cube
6×add-exp-log
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp
Counts
4 → 145
Calls
4 calls:
16.0ms
(* (cbrt (* y z)) (cbrt (* y z)))
4.0ms
(cbrt (* y z))
4.0ms
(cbrt (* y z))
4.0ms
(cbrt (* y z))

series288.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (cbrt (* y z)) (cbrt (* y z)))
67.0ms
(cbrt (* y z))
68.0ms
(cbrt (* y z))
66.0ms
(cbrt (* y z))

simplify99.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0277963
1987905
23701821
35001790

prune289.0ms

Filtered
157 candidates to 113 candidates (28.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1561157
Fresh156
Picked101
Done011
Total1587165

Merged error: 0.0b

Counts
165 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt y) (cbrt y)))
3.6b
(cbrt (* (cbrt y) z))
9.8b
(cbrt (* y z))
9.8b
(cbrt (* y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
87×cbrt-prod
39×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
18×associate-*l*
15×associate-*r*
8×unswap-sqr
6×swap-sqr
4×pow1 add-exp-log expm1-log1p-u pow1/3 *-commutative add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 107
Calls
4 calls:
9.0ms
(cbrt (* (cbrt y) (cbrt y)))
5.0ms
(cbrt (* (cbrt y) z))
4.0ms
(cbrt (* y z))
4.0ms
(cbrt (* y z))

series573.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt (* (cbrt y) (cbrt y)))
173.0ms
(cbrt (* (cbrt y) z))
67.0ms
(cbrt (* y z))
65.0ms
(cbrt (* y z))

simplify87.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0275707
1750681
23256629
35001625

prune330.0ms

Filtered
119 candidates to 90 candidates (24.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh145
Picked011
Done011
Total1197126

Merged error: 0.0b

Counts
126 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt y) (cbrt y)))
3.6b
(cbrt (* (cbrt y) z))
3.6b
(cbrt (* (cbrt y) z))
9.8b
(cbrt (* y z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
95×cbrt-prod
42×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*l*
15×associate-*r*
9×unswap-sqr
6×swap-sqr
4×pow1 add-exp-log expm1-log1p-u pow1/3 *-commutative add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 111
Calls
4 calls:
7.0ms
(cbrt (* (cbrt y) (cbrt y)))
5.0ms
(cbrt (* (cbrt y) z))
5.0ms
(cbrt (* (cbrt y) z))
4.0ms
(cbrt (* y z))

series685.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (* (cbrt y) (cbrt y)))
173.0ms
(cbrt (* (cbrt y) z))
173.0ms
(cbrt (* (cbrt y) z))
69.0ms
(cbrt (* y z))

simplify86.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0275767
1750739
23256691
35001689

prune359.0ms

Filtered
123 candidates to 93 candidates (24.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh044
Picked011
Done022
Total1237130

Merged error: 0.0b

Counts
130 → 7

regimes131.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample430.0ms

Algorithm
intervals
Results
219.0ms10635×body80valid