Details

Time bar (total: 2.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms244×body80valid
0.0ms4×body640valid
0.0ms4×body320valid
0.0ms2×body1280valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune3.0ms

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-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
2.0ms
(- x (* (/ 3.0 8.0) y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(- x (* (/ 3.0 8.0) y))

simplify88.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune25.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize9.0ms

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×frac-times add-cbrt-cube 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 → 87
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))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
44.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify79.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
02551040
1812975
23042894
35002870

prune228.0ms

Filtered
72 candidates to 99 candidates (-37.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New94599
Fresh000
Picked101
Done011
Total956101

Merged error: 0.0b

Counts
101 → 6

localize15.0ms

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

rewrite26.0ms

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×associate-*r/ associate-*l/ add-cbrt-cube 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 → 94
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))))
10.0ms
(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))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
40.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
43.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
35.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify96.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
03651332
110491264
236431169
350021143

prune383.0ms

Filtered
78 candidates to 106 candidates (-35.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh044
Picked011
Done011
Total1057112

Merged error: 0.0b

Counts
112 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
26×add-sqr-sqrt
24×cbrt-div
18×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube 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 → 96
Calls
4 calls:
8.0ms
(* (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))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
36.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
34.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
37.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
02741211
18341151
229981062
350011044

prune397.0ms

Filtered
81 candidates to 108 candidates (-33.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done022
Total1087115

Merged error: 0.0b

Counts
115 → 7

regimes316.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample400.0ms

Algorithm
intervals
Results
154.0ms7375×body80valid
19.0ms214×body1280valid
14.0ms100×body2560valid
12.0ms166×body640valid
6.0ms101×body320valid
2.0ms44×body160valid

Profiling

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