Details

Time bar (total: 4.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms236×body80valid
1.0ms7×body1280valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms3×body320valid
0.0ms4×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

prune1.0ms

Filtered
1 candidates to 0 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 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- x (* (/ 3.0 8.0) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune36.0ms

Filtered
23 candidates to 17 candidates (73.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New20323
Fresh000
Picked011
Done000
Total20424

Merged error: 0.0b

Counts
24 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
260.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
259.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
234.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02441068
17741003
22881944
35001915

prune235.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1016107
Fresh022
Picked011
Done011
Total10110111

Merged error: 0.0b

Counts
111 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-div
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×flip3-- flip--
11×pow1
9×pow1/3
8×frac-times
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series988.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
234.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
231.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
258.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify82.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
03591368
110211300
234881225
350021205

prune321.0ms

Filtered
114 candidates to 88 candidates (77.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh077
Picked011
Done022
Total11311124

Merged error: 0.0b

Counts
124 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
20×cbrt-prod
14×flip3-- flip--
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 74
Calls
4 calls:
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
238.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
285.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
263.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
02301172
15401108
216201098
350011074

prune288.0ms

Filtered
86 candidates to 78 candidates (90.7%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh077
Picked011
Done033
Total861197

Merged error: 0.0b

Counts
97 → 11

regimes172.0ms

Accuracy

0% (0.0b 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
083
183

end0.0ms

sample337.0ms

Algorithm
intervals
Results
156.0ms7359×body80valid
20.0ms225×body1280valid
13.0ms177×body640valid
10.0ms88×body2560valid
5.0ms95×body320valid
2.0ms56×body160valid

Profiling

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