Details

Time bar (total: 5.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms238×body80valid
1.0ms7×body640valid
1.0ms4×body2560valid
1.0ms4×body1280valid
0.0ms3×body320valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

prune1.0ms

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

localize4.0ms

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-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))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(- x (* (/ 3.0 8.0) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune40.0ms

Filtered
23 candidates to 17 candidates (73.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New20323
Fresh000
Picked011
Done000
Total20424

Merged error: 0.1b

Counts
24 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

series1.0s

Counts
4 → 12
Calls
4 calls:
252.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
268.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
262.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
262.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02441068
17671003
22875944
35002915

prune259.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh112
Picked101
Done011
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
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)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
267.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
267.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
283.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (87.0ms)

IterNodesCost
0140572
1378536
21300528
34186500
45001492

prune232.0ms

Filtered
72 candidates to 64 candidates (88.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New70272
Fresh055
Picked011
Done011
Total70979

Merged error: 0.0b

Counts
79 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
286.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
273.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
231.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify109.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0318706
1972664
23858646
35001636

prune249.0ms

Filtered
83 candidates to 69 candidates (83.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh066
Picked011
Done022
Total83992

Merged error: 0.0b

Counts
92 → 9

regimes145.0ms

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

sample397.0ms

Algorithm
intervals
Results
182.0ms7362×body80valid
23.0ms221×body1280valid
16.0ms181×body640valid
13.0ms103×body2560valid
6.0ms48×body160valid
5.0ms85×body320valid