Details

Time bar (total: 2.0s)

sample15.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
5.0ms242×body80valid
1.0ms6×body1280valid
0.0ms4×body2560valid
0.0ms2×body640valid
0.0ms1×body320valid
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

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

series4.0ms

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

simplify86.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune34.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.0b

Counts
16 → 5

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)))

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:
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)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
38.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
02551040
1804975
23034894
35002870

prune209.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh033
Picked101
Done011
Total986104

Merged error: 0.0b

Counts
104 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod
16×unpow-prod-down
14×add-cube-cbrt *-un-lft-identity
11×associate-*l*
10×add-exp-log unswap-sqr
6×pow1 cbrt-div associate-*r*
5×add-cbrt-cube unpow2
4×add-log-exp sqr-pow
3×pow-unpow flip3-- pow1/3 prod-exp flip--
2×pow-to-exp pow-pow associate-*r/ pow-exp
1×pow-plus pow3 *-commutative pow-prod-up cbrt-unprod
Counts
4 → 92
Calls
4 calls:
9.0ms
(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
39.0ms
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
38.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0378975
11319827
25002773

prune188.0ms

Filtered
71 candidates to 104 candidates (-46.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh134
Picked011
Done011
Total1037110

Merged error: 0.0b

Counts
110 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (- x (* (/ 3.0 8.0) y)))
29.1b
(cbrt (pow (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) 3))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
29×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×cube-prod
5×pow1 add-exp-log
4×cbrt-div pow1/3 add-cbrt-cube add-log-exp sqr-pow
3×pow-unpow unpow2
2×flip3-- pow-pow flip--
1×cube-mult pow-to-exp unpow3 pow-exp rem-cbrt-cube
Counts
4 → 85
Calls
4 calls:
4.0ms
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms
(cbrt (pow (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) 3))

series151.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
35.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
38.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
40.0ms
(cbrt (pow (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0424833
11386755
25002715

prune149.0ms

Filtered
55 candidates to 97 candidates (-76.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh044
Picked011
Done022
Total968104

Merged error: 0.0b

Counts
104 → 8

regimes229.0ms

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

sample399.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
173.0ms7409×body80valid
21.0ms213×body1280valid
13.0ms160×body640valid
10.0ms83×body2560valid
6.0ms93×body320valid
2.0ms42×body160valid

Profiling

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