Details

Time bar (total: 6.6s)

sample20.0ms

Algorithm
intervals
Results
5.0ms234×body80valid
1.0ms9×body1280valid
0.0ms6×body640valid
0.0ms3×body2560valid
0.0ms4×body320valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(- x (* (/ 3.0 8.0) y))

simplify105.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune63.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.1b

Counts
16 → 5

localize10.0ms

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)))

rewrite19.0ms

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

series1.3s

Counts
4 → 12
Calls
4 calls:
291.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
321.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
319.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
328.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
02371018
1740953
22721895
35001874

prune409.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New93699
Fresh123
Picked011
Done011
Total9410104

Merged error: 0.0b

Counts
104 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×cbrt-prod
9×flip3-- flip--
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 59
Calls
4 calls:
3.0ms
(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))))
8.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
310.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
544.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
298.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0265818
1617768
21725760
35002742

prune398.0ms

Filtered
71 candidates to 65 candidates (91.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh077
Picked011
Done022
Total711081

Merged error: 0.0b

Counts
81 → 10

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))))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
1.0b
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

rewrite20.0ms

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)))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
5.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
315.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
288.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
268.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify137.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0424966
11131912
24313875
35001869

prune431.0ms

Filtered
82 candidates to 71 candidates (86.6%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New80282
Fresh156
Picked011
Done033
Total811192

Merged error: 0.0b

Counts
92 → 11

regimes353.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample437.0ms

Algorithm
intervals
Results
160.0ms7343×body80valid
21.0ms212×body1280valid
14.0ms184×body640valid
13.0ms110×body2560valid
6.0ms97×body320valid
2.0ms54×body160valid

Profiling

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