Details

Time bar (total: 1.4s)

analyze2.0ms

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

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body128valid
9.0ms256×pre128true

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
0473022
1473022

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)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp_binary64 sub-neg_binary64
2×associate--r+_binary64
1×*-un-lft-identity_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 add-sqr-sqrt_binary64 flip--_binary64
Counts
1 → 13
Calls
1 calls:
6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

series121.0ms

Counts
1 → 3
Calls
1 calls:
121.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

simplify73.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04936451
14936451

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))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp_binary64
1×*-un-lft-identity_binary64 sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 flip--_binary64
Counts
1 → 11
Calls
1 calls:
6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series81.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify88.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04867238
14867238

prune17.0ms

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))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64
3×unpow-prod-down_binary64 cube-prod_binary64
2×cbrt-div_binary64 pow1_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64 flip--_binary64
1×sub-neg_binary64 rem-cbrt-cube_binary64 diff-log_binary64 pow1/3_binary64 sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
Counts
2 → 34
Calls
2 calls:
10.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
7.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series177.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
95.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify42.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05190802

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06127
16127

end0.0ms

sample561.0ms

Algorithm
intervals
Results
321.0ms8000×body128valid
137.0ms8000×pre128true

Profiling

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