Details

Time bar (total: 1.5s)

analyze3.0ms (0.2%)

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

Compiled 22 to 16 computations (27.3% saved)

sample18.0ms (1.2%)

Algorithm
intervals
Results
8.0ms256×body128valid
5.0ms256×pre128true
Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify244.0ms (16.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
0471022
1471022

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.0b

Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.5%)

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)))

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
associate--r+_binary64_355
cancel-sign-sub-inv_binary64_385
distribute-rgt-in_binary64_369 distribute-lft-in_binary64_368
*-un-lft-identity_binary64_419 sub-neg_binary64_412 add-log-exp_binary64_458 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
flip3--_binary64_423 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 diff-log_binary64_511 flip--_binary64_394 pow1_binary64_480
Counts
1 → 20
Calls

1 calls:

6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

series57.0ms (3.8%)

Counts
1 → 3
Calls

1 calls:

57.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) 2)))

simplify59.0ms (4%)

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04956542
14956542

prune27.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New22123
Fresh000
Picked101
Done000
Total23124

Merged error: 52.0b

Counts
24 → 1
Compiler

Compiled 519 to 337 computations (35.1% saved)

localize10.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
cancel-sign-sub-inv_binary64_385
*-un-lft-identity_binary64_419 unpow-prod-down_binary64_498 add-log-exp_binary64_458 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
sub-neg_binary64_412 sqr-pow_binary64_391 flip3--_binary64_423 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 diff-log_binary64_511 flip--_binary64_394 pow1_binary64_480
Counts
1 → 18
Calls

1 calls:

6.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series38.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify70.0ms (4.7%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05269280

prune27.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New20121
Fresh000
Picked101
Done000
Total21122

Merged error: 52.0b

Counts
22 → 1
Compiler

Compiled 433 to 319 computations (26.3% saved)

localize13.0ms (0.9%)

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))

rewrite18.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_450
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441 cancel-sign-sub-inv_binary64_385
unpow-prod-down_binary64_498
add-log-exp_binary64_458
cube-prod_binary64_447
cbrt-div_binary64_451 sqr-pow_binary64_391 cube-div_binary64_448 flip3--_binary64_423 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 flip--_binary64_394 pow1_binary64_480
pow1/3_binary64_501 sub-neg_binary64_412 unpow3_binary64_485 cube-mult_binary64_449 rem-cbrt-cube_binary64_443 diff-log_binary64_511
Counts
2 → 41
Calls

2 calls:

7.0ms
(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))

series75.0ms (5%)

Counts
2 → 6
Calls

2 calls:

38.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) 3))
36.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify50.0ms (3.4%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05079844

prune59.0ms (4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done000
Total47148

Merged error: 52.0b

Counts
48 → 1
Compiler

Compiled 1105 to 839 computations (24.1% saved)

regimes47.0ms (3.2%)

Compiler

Compiled 424 to 362 computations (14.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06127
16127

end0.0ms (0%)

sample641.0ms (43.2%)

Algorithm
intervals
Results
268.0ms8000×body128valid
149.0ms8000×pre128true
Compiler

Compiled 90 to 76 computations (15.6% saved)

Profiling

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