Details

Time bar (total: 3.0s)

sample167.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.609375%

Results
5.0ms236×body80valid
1.0ms11×body1280valid
0.0ms4×body640valid
0.0ms2×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

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:
3.0ms
(- 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

prune36.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616

Merged error: 0.1b

Counts
16 → 6

localize9.0ms

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

series150.0ms

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)))
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
02551040
1804975
23034894
35002870

prune238.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New93699
Fresh044
Picked101
Done011
Total9411105

Merged error: 0.0b

Counts
105 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-- flip--
12×frac-times
6×cbrt-prod associate-*r/ associate-*l/
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
40.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
42.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
40.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
02311256
15551184
216721155
350011132

prune397.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh099
Picked011
Done011
Total761187

Merged error: 0.0b

Counts
87 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.9b
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×flip3-- flip--
5×pow1 add-exp-log
4×frac-times pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ associate-*l/
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(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))))
5.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series165.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
40.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
38.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
50.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify150.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
0438977
11226910
24656867
35002851

prune253.0ms

Filtered
63 candidates to 82 candidates (-30.2%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New80282
Fresh088
Picked011
Done022
Total801393

Merged error: 0.0b

Counts
93 → 13

regimes355.0ms

Accuracy

0% (0.0b 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

sample591.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.609375%

Results
174.0ms7369×body80valid
26.0ms240×body1280valid
13.0ms162×body640valid
12.0ms101×body2560valid
6.0ms83×body320valid
2.0ms45×body160valid

Profiling

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