Details

Time bar (total: 1.9s)

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

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

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune32.0ms

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)))

rewrite18.0ms

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)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
40.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
42.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
41.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
02551043
1801978
23034906
35001888

prune225.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
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)))

rewrite22.0ms

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:
10.0ms
(* (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)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2) (cbrt (- x (* (/ 3.0 8.0) y))))
44.0ms
(pow (cbrt (- x (* (/ 3.0 8.0) y))) 2)
41.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
43.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0378975
11319823
25001772

prune185.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh134
Picked011
Done011
Total1046110

Merged error: 0.0b

Counts
110 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))
0.0b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b
(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))
2.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
9.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- x (* (/ 3.0 8.0) y))
11.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
12.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0229774
1897716
25001696

prune128.0ms

Filtered
64 candidates to 111 candidates (-73.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1101111
Fresh033
Picked011
Done022
Total1107117

Merged error: 0.0b

Counts
117 → 7

regimes209.0ms

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

sample404.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
164.0ms7409×body80valid
23.0ms213×body1280valid
14.0ms160×body640valid
10.0ms83×body2560valid
5.0ms93×body320valid
2.0ms42×body160valid

Profiling

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