Details

Time bar (total: 5.8s)

sample14.0ms

Algorithm
intervals
Results
5.0ms238×body80valid
1.0ms8×body640valid
0.0ms4×body1280valid
0.0ms5×body320valid
0.0ms1×body2560valid

simplify14.0ms

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

localize9.0ms

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:
32.0ms
(- x (* (/ 3.0 8.0) y))

simplify104.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune33.0ms

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

localize15.0ms

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)))

rewrite21.0ms

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:
10.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
302.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
322.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
326.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
323.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
02371018
1740953
22721895
35002874

prune275.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New93699
Fresh112
Picked011
Done011
Total949103

Merged error: 0.0b

Counts
103 → 9

localize17.0ms

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

rewrite19.0ms

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)))
3.0ms
(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)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
326.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
324.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
327.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
306.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0265818
1617768
21725760
35001742

prune310.0ms

Filtered
71 candidates to 65 candidates (91.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New69271
Fresh066
Picked011
Done022
Total691180

Merged error: 0.0b

Counts
80 → 11

localize16.0ms

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 (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)))
3.0ms
(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)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
337.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
347.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
335.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
316.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0265818
1617768
21725760
35001742

prune270.0ms

Filtered
71 candidates to 64 candidates (90.1%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh077
Picked011
Done033
Total711182

Merged error: 0.0b

Counts
82 → 11

regimes197.0ms

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

sample327.0ms

Algorithm
intervals
Results
154.0ms7403×body80valid
18.0ms203×body1280valid
11.0ms161×body640valid
10.0ms94×body2560valid
5.0ms91×body320valid
2.0ms48×body160valid