Details

Time bar (total: 1.9s)

sample40.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
5.0ms240×body80valid
1.0ms8×body1280valid
0.0ms3×body2560valid
0.0ms3×body640valid
0.0ms2×body320valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

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))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- 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

prune29.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
02551040
1804975
23034894
35002870

prune217.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95499
Fresh022
Picked011
Done011
Total958103

Merged error: 0.0b

Counts
103 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
34.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0199608
1496570
21520550
35001536

prune254.0ms

Filtered
58 candidates to 67 candidates (-15.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh055
Picked011
Done022
Total67875

Merged error: 0.0b

Counts
75 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
3.4b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
30.4b
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×pow1
41×add-exp-log add-cbrt-cube
21×prod-exp cbrt-unprod
17×pow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×cbrt-undiv div-exp
5×associate-*l/ add-log-exp difference-of-squares
4×pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×flip3-- pow-plus associate-/r/ flip-- associate-/l/
1×pow2 frac-times sub-neg frac-2neg flip3-+ diff-log div-sub associate-*r/ swap-sqr associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv
Counts
3 → 96
Calls
3 calls:
9.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
3.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
7.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
7.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
11.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04411026
12319857
25001855

prune114.0ms

Filtered
59 candidates to 105 candidates (-78.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1014105
Fresh314
Picked101
Done033
Total1058113

Merged error: 0.0b

Counts
113 → 8

regimes217.0ms

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
083
183

end0.0ms

sample348.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
155.0ms7437×body80valid
18.0ms203×body1280valid
13.0ms94×body2560valid
11.0ms150×body640valid
4.0ms73×body320valid
2.0ms43×body160valid

Profiling

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