Details

Time bar (total: 4.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms240×body80valid
0.0ms5×body1280valid
0.0ms5×body640valid
0.0ms3×body2560valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

prune2.0ms

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))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
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))

simplify40.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune39.0ms

Filtered
23 candidates to 17 candidates (73.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New19423
Fresh000
Picked011
Done000
Total19524

Merged error: 0.0b

Counts
24 → 5

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)))

rewrite20.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
10.0ms
(* (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)))

series1.2s

Counts
4 → 12
Calls
4 calls:
246.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
312.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
296.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
298.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
02441068
17671003
22875944
35002915

prune243.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh033
Picked011
Done011
Total1048112

Merged error: 0.0b

Counts
112 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 72
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)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
254.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
251.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
257.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify113.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
02201298
15251226
216071215
348981202
450011202

prune259.0ms

Filtered
84 candidates to 71 candidates (84.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0.0b

Counts
92 → 8

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)))
0.2b
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×add-cube-cbrt *-un-lft-identity sqrt-div
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×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×fma-neg prod-diff 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 → 113
Calls
4 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))
3.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
9.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (* (/ 3.0 8.0) y))
84.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
85.0ms
(sqrt (- x (* (/ 3.0 8.0) y)))
35.0ms
(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0256852
1948767
25002739

prune194.0ms

Filtered
125 candidates to 76 candidates (60.8%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1232125
Fresh134
Picked011
Done033
Total1249133

Merged error: 0.0b

Counts
133 → 9

regimes130.0ms

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

sample325.0ms

Algorithm
intervals
Results
152.0ms7431×body80valid
18.0ms209×body1280valid
11.0ms154×body640valid
7.0ms72×body2560valid
4.0ms86×body320valid
2.0ms48×body160valid

Profiling

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