Details

Time bar (total: 1.4s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms256×pre80true

simplify284.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
0473122
1473122

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

62.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
sub-neg_binary64_594 add-log-exp_binary64_555
associate--r+_binary64_645
add-cbrt-cube_binary64_562 flip--_binary64_616 add-cube-cbrt_binary64_561 distribute-rgt-in_binary64_633 add-exp-log_binary64_554 *-un-lft-identity_binary64_590 flip3--_binary64_589 pow1_binary64_532 distribute-lft-in_binary64_632 diff-log_binary64_501 add-sqr-sqrt_binary64_575
Counts
1 → 13
Calls
1 calls:
6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

simplify67.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05036451

prune15.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New15116
Fresh000
Picked101
Done000
Total16117

Merged error: 52.0b

Counts
17 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_555
add-cbrt-cube_binary64_562 sub-neg_binary64_594 flip--_binary64_616 add-cube-cbrt_binary64_561 add-exp-log_binary64_554 *-un-lft-identity_binary64_590 flip3--_binary64_589 pow1_binary64_532 diff-log_binary64_501 add-sqr-sqrt_binary64_575
Counts
1 → 11
Calls
1 calls:
6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify61.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04924238
14924238

prune16.0ms

Filtered
11 candidates to 14 candidates (-27.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New13114
Fresh000
Picked101
Done000
Total14115

Merged error: 52.0b

Counts
15 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_557
add-cube-cbrt_binary64_561 *-un-lft-identity_binary64_590 add-sqr-sqrt_binary64_575
add-log-exp_binary64_555
unpow-prod-down_binary64_521 cube-prod_binary64_563
add-cbrt-cube_binary64_562 flip--_binary64_616 cube-div_binary64_564 add-exp-log_binary64_554 flip3--_binary64_589 cbrt-div_binary64_558 pow1_binary64_532
pow1/3_binary64_524 sub-neg_binary64_594 cube-mult_binary64_565 sqr-pow_binary64_622 unpow3_binary64_530 diff-log_binary64_501 rem-cbrt-cube_binary64_567
Counts
2 → 34
Calls
2 calls:
7.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series81.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
40.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify50.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05176802

prune35.0ms

Filtered
26 candidates to 40 candidates (-53.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done000
Total40141

Merged error: 52.0b

Counts
41 → 1

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06127
16127

end0.0ms

sample574.0ms

Algorithm
intervals
Results
319.0ms8000×body80valid
150.0ms8000×pre80true

Profiling

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