Details

Time bar (total: 5.4s)

sample15.0ms

Algorithm
intervals
Results
5.0ms239×body80valid
1.0ms8×body1280valid
1.0ms4×body2560valid
0.0ms3×body640valid
0.0ms2×body320valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

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))

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))

simplify92.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune27.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.1b

Counts
16 → 4

localize9.0ms

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

series1.1s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
282.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
276.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
242.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02371018
1747953
22727895
35001874

prune227.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92799
Fresh112
Picked011
Done011
Total9310103

Merged error: 0.0b

Counts
103 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-div
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×flip3-- flip--
11×pow1
9×pow1/3
8×frac-times
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
237.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
275.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
272.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
03481304
19851236
232831163
350011147

prune310.0ms

Filtered
106 candidates to 80 candidates (75.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh077
Picked011
Done022
Total10610116

Merged error: 0.0b

Counts
116 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 165
Calls
4 calls:
10.0ms
(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (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)))))
7.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series981.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))))
244.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
242.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
237.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
03655893
18825726
227345626
350025614

prune568.0ms

Filtered
177 candidates to 92 candidates (52.0%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1761177
Fresh066
Picked011
Done033
Total17611187

Merged error: 0.0b

Counts
187 → 11

regimes168.0ms

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

sample388.0ms

Algorithm
intervals
Results
181.0ms7394×body80valid
22.0ms204×body1280valid
14.0ms108×body2560valid
13.0ms160×body640valid
5.0ms82×body320valid
5.0ms52×body160valid

Profiling

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