Details

Time bar (total: 2.3min)

analyze1.9s (1.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample115.0ms (0.1%)

Algorithm
intervals
Results
93.0ms256×body128valid
2.0ms28×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify900.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (374.0ms)

IterNodesCost
073815
173815

prune24.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize56.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (+.f64 x 4) y)
0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.8b
(*.f64 (/.f64 x y) z)

rewrite157.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_419
25×add-sqr-sqrt_binary64_441
22×times-frac_binary64_425
20×add-cube-cbrt_binary64_454
13×associate-*l*_binary64_360
10×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
add-log-exp_binary64_458 pow1_binary64_480
distribute-lft-out_binary64_370 associate-/l*_binary64_364
associate-*l/_binary64_362 associate-*r*_binary64_359 associate-/r*_binary64_363
div-inv_binary64_416 unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 div-exp_binary64_470 cbrt-undiv_binary64_453 associate-/l/_binary64_366
flip3-+_binary64_422 pow-prod-down_binary64_490 clear-num_binary64_418 sub-neg_binary64_412 flip3--_binary64_423 *-commutative_binary64_350 frac-2neg_binary64_430 flip-+_binary64_393 diff-log_binary64_511 flip--_binary64_394 cancel-sign-sub-inv_binary64_385 sub-div_binary64_426 frac-sub_binary64_428
Counts
3 → 79
Calls

3 calls:

76.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
33.0ms
(/.f64 (+.f64 x 4) y)
24.0ms
(*.f64 (/.f64 x y) z)

series311.0ms (0.2%)

Counts
3 → 9
Calls

3 calls:

164.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
80.0ms
(*.f64 (/.f64 x y) z)
67.0ms
(/.f64 (+.f64 x 4) y)

simplify427.0ms (0.3%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (322.0ms)

IterNodesCost
049261165
149261165

prune2.8s (2%)

Pruning

45 alts after pruning (45 fresh and 0 done)

PrunedKeptTotal
New444488
Fresh011
Picked101
Done000
Total454590

Merged error: 0.0b

Counts
90 → 45
Compiler

Compiled 2494 to 1420 computations (43.1% saved)

localize180.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite275.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
73×add-exp-log_binary64_457
39×add-cbrt-cube_binary64_455
37×prod-exp_binary64_468 cbrt-unprod_binary64_452
17×div-exp_binary64_470 cbrt-undiv_binary64_453
cbrt-prod_binary64_450 pow1_binary64_480
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 add-sqr-sqrt_binary64_441
associate-*l*_binary64_360
add-log-exp_binary64_458
pow-prod-down_binary64_490 pow1/3_binary64_501 associate-*r/_binary64_361
associate-*l/_binary64_362 times-frac_binary64_425 div-inv_binary64_416 associate-*r*_binary64_359 frac-times_binary64_429 *-commutative_binary64_350
Counts
4 → 82
Calls

4 calls:

161.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
15.0ms
(cbrt.f64 x)
14.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)

series2.2s (1.5%)

Counts
4 → 12
Calls

4 calls:

826.0ms
(cbrt.f64 x)
549.0ms
(cbrt.f64 x)
548.0ms
(cbrt.f64 x)
238.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

simplify168.0ms (0.1%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
05018780

prune4.6s (3.3%)

Pruning

67 alts after pruning (66 fresh and 1 done)

PrunedKeptTotal
New702494
Fresh24244
Picked011
Done000
Total7267139

Merged error: 0.0b

Counts
139 → 67
Compiler

Compiled 3676 to 1825 computations (50.4% saved)

localize198.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
2.6b
(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))

rewrite175.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_450 add-sqr-sqrt_binary64_441
*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454
sqrt-prod_binary64_435 pow1_binary64_480
add-log-exp_binary64_458 add-cbrt-cube_binary64_455 add-exp-log_binary64_457
pow1/3_binary64_501
times-frac_binary64_425 rem-sqrt-square_binary64_432
sqrt-div_binary64_436 pow1/2_binary64_499 div-inv_binary64_416 sqrt-pow1_binary64_437
Counts
4 → 50
Calls

4 calls:

86.0ms
(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
24.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 x)
3.0ms
(cbrt.f64 x)

series2.0s (1.5%)

Counts
4 → 12
Calls

4 calls:

600.0ms
(cbrt.f64 x)
498.0ms
(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
495.0ms
(cbrt.f64 x)
445.0ms
(cbrt.f64 x)

simplify296.0ms (0.2%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (250.0ms)

IterNodesCost
04934485
14934485

prune2.9s (2.1%)

Pruning

96 alts after pruning (94 fresh and 2 done)

PrunedKeptTotal
New332962
Fresh06565
Picked011
Done011
Total3396129

Merged error: 0.0b

Counts
129 → 96
Compiler

Compiled 4804 to 2227 computations (53.6% saved)

localize209.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite81.0ms (0.1%)

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
pow1/3_binary64_501 add-log-exp_binary64_458 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 pow1_binary64_480
Counts
4 → 44
Calls

4 calls:

15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 x)
3.0ms
(cbrt.f64 x)

series2.4s (1.7%)

Counts
4 → 12
Calls

4 calls:

761.0ms
(cbrt.f64 x)
630.0ms
(cbrt.f64 y)
564.0ms
(cbrt.f64 x)
404.0ms
(cbrt.f64 x)

simplify124.0ms (0.1%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05087340

prune2.2s (1.6%)

Pruning

106 alts after pruning (103 fresh and 3 done)

PrunedKeptTotal
New401656
Fresh68793
Picked011
Done022
Total46106152

Merged error: 0.0b

Counts
152 → 106
Compiler

Compiled 2080 to 794 computations (61.8% saved)

regimes20.6s (14.7%)

Compiler

Compiled 31642 to 20560 computations (35% saved)

bsearch47.6s (34%)

simplify159.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
010956
110956

end0.0ms (0%)

sample46.9s (33.5%)

Algorithm
intervals
Results
2.4s8000×body128valid
277.0ms1267×body128invalid
Compiler

Compiled 6673 to 4313 computations (35.4% saved)

Pareto

0.13133218838062347

Profiling

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