Details

Time bar (total: 2.4s)

sample48.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.609375%

Results
5.0ms240×body80valid
0.0ms5×body640valid
0.0ms4×body1280valid
0.0ms2×body2560valid
0.0ms3×body320valid
0.0ms2×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

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))

simplify90.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune22.0ms

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: 0.1b

Counts
16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))

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)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
39.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
38.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
39.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
02551040
1804975
23034894
35002870

prune215.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95499
Fresh000
Picked011
Done011
Total956101

Merged error: 0.0b

Counts
101 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
14.7b
(/ (* (cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))) (cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))) (* (cbrt (+ x (* (/ 3.0 8.0) y))) (cbrt (+ x (* (/ 3.0 8.0) y)))))
30.2b
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))
30.2b
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
3.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
17.0ms
(/ (* (cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))) (cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))) (* (cbrt (+ x (* (/ 3.0 8.0) y))) (cbrt (+ x (* (/ 3.0 8.0) y)))))
3.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
66.0ms
(/ (* (cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))) (cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))) (* (cbrt (+ x (* (/ 3.0 8.0) y))) (cbrt (+ x (* (/ 3.0 8.0) y)))))
24.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))
24.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04481853
115981529
250011489

prune370.0ms

Filtered
74 candidates to 90 candidates (-21.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New87390
Fresh123
Picked101
Done022
Total89796

Merged error: 0.0b

Counts
96 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
3.9b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
30.2b
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))
30.2b
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div flip3-- add-cbrt-cube flip-- difference-of-squares
2×sub-neg pow1/3 diff-log
Counts
4 → 54
Calls
4 calls:
3.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
3.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
9.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
24.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))
24.0ms
(cbrt (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))))

simplify135.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (127.0ms)

IterNodesCost
0198814
1745738
24599718
35001702

prune218.0ms

Filtered
54 candidates to 66 candidates (-22.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh044
Picked011
Done022
Total66773

Merged error: 0.0b

Counts
73 → 7

regimes247.0ms

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

sample445.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.609375%

Results
171.0ms7372×body80valid
23.0ms240×body1280valid
12.0ms157×body640valid
11.0ms94×body2560valid
5.0ms85×body320valid
2.0ms52×body160valid

Profiling

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