Details

Time bar (total: 5.8s)

analyze43.0ms (0.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample23.0ms (0.4%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify167.0ms (2.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
077
177

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (/.f64 y 500))

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_8642 *-un-lft-identity_binary64_8603
add-cube-cbrt_binary64_8638 flip3-+_binary64_8606 add-sqr-sqrt_binary64_8625 add-exp-log_binary64_8641 distribute-lft-out_binary64_8554 flip-+_binary64_8577 add-cbrt-cube_binary64_8639 pow1_binary64_8664 sum-log_binary64_8694 +-commutative_binary64_8533
Counts
1 → 12
Calls

1 calls:

13.0ms
(+.f64 x (/.f64 y 500))

series36.0ms (0.6%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(+.f64 x (/.f64 y 500))

simplify125.0ms (2.2%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
05533164

prune26.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4
Compiler

Compiled 184 to 132 computations (28.3% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b
(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b
(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (+.f64 x (/.f64 y 500))))

rewrite93.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod_binary64_8634
35×*-un-lft-identity_binary64_8603
23×add-sqr-sqrt_binary64_8625
18×cbrt-div_binary64_8635
15×add-cube-cbrt_binary64_8638
11×pow1_binary64_8664
pow1/3_binary64_8685 flip3-+_binary64_8606 swap-sqr_binary64_8570 distribute-lft-out_binary64_8554 flip-+_binary64_8577
associate-*l*_binary64_8544 associate-*r*_binary64_8543
add-exp-log_binary64_8641
add-log-exp_binary64_8642 frac-times_binary64_8613 add-cbrt-cube_binary64_8639 unswap-sqr_binary64_8571
pow-prod-up_binary64_8673 associate-*r/_binary64_8545 associate-*l/_binary64_8546 pow-sqr_binary64_8576 pow-prod-down_binary64_8674
cbrt-unprod_binary64_8636 *-commutative_binary64_8534 pow-plus_binary64_8666 pow2_binary64_8684 prod-exp_binary64_8652
Counts
4 → 95
Calls

4 calls:

37.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (+.f64 x (/.f64 y 500))))
13.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
12.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
12.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))

series1.0s (17.3%)

Counts
4 → 12
Calls

4 calls:

323.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (+.f64 x (/.f64 y 500))))
233.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
230.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
219.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))

simplify147.0ms (2.5%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
049541936
149541936

prune272.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh022
Picked011
Done011
Total1065111

Merged error: 0b

Counts
111 → 5
Compiler

Compiled 2786 to 2028 computations (27.2% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b
(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
0.5b
(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
1.1b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 5)

rewrite78.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod_binary64_8634
21×*-un-lft-identity_binary64_8603
13×add-cube-cbrt_binary64_8638 add-sqr-sqrt_binary64_8625
10×unpow-prod-down_binary64_8682 cbrt-div_binary64_8635
add-exp-log_binary64_8641 pow1_binary64_8664
pow1/3_binary64_8685 add-log-exp_binary64_8642 distribute-lft-out_binary64_8554 add-cbrt-cube_binary64_8639
flip3-+_binary64_8606 pow-unpow_binary64_8680 flip-+_binary64_8577
pow-pow_binary64_8675
sqr-pow_binary64_8575 pow-to-exp_binary64_8672 pow-exp_binary64_8671
Counts
4 → 73
Calls

4 calls:

19.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 5)
18.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
14.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
12.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))

series1.5s (26.4%)

Counts
4 → 12
Calls

4 calls:

712.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 5)
299.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
293.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
227.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))

simplify204.0ms (3.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (165.0ms)

IterNodesCost
048501643
148501643

prune267.0ms (4.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0b

Counts
90 → 5
Compiler

Compiled 2652 to 2040 computations (23.1% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 y 500))
0.1b
(*.f64 y (/.f64 y 250000))
4.5b
(-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000)))
30.9b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))

rewrite83.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt_binary64_8625
42×times-frac_binary64_8609
40×*-un-lft-identity_binary64_8603
30×add-cube-cbrt_binary64_8638
14×cancel-sign-sub-inv_binary64_8569
13×associate-*r*_binary64_8543
11×add-exp-log_binary64_8641 add-cbrt-cube_binary64_8639
10×difference-of-squares_binary64_8572
add-log-exp_binary64_8642
associate-/r*_binary64_8547 pow1_binary64_8664
distribute-lft-out--_binary64_8555
flip3--_binary64_8607 flip--_binary64_8578
associate-/l*_binary64_8548 associate-*l*_binary64_8544 div-inv_binary64_8600
div-exp_binary64_8654 cbrt-unprod_binary64_8636 associate-/l/_binary64_8550 diff-log_binary64_8695 cbrt-undiv_binary64_8637 prod-exp_binary64_8652 sub-neg_binary64_8596 associate-/r/_binary64_8549 unswap-sqr_binary64_8571
associate-*r/_binary64_8545 clear-num_binary64_8602 *-commutative_binary64_8534 div-sub_binary64_8608 frac-2neg_binary64_8614 pow-prod-down_binary64_8674
Counts
4 → 115
Calls

4 calls:

25.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
15.0ms
(-.f64 x (/.f64 y 500))
14.0ms
(*.f64 y (/.f64 y 250000))
8.0ms
(-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000)))

series216.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

95.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
54.0ms
(-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000)))
34.0ms
(*.f64 y (/.f64 y 250000))
33.0ms
(-.f64 x (/.f64 y 500))

simplify134.0ms (2.3%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049132497
149132497

prune234.0ms (4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done033
Total1275132

Merged error: 0b

Counts
132 → 5
Compiler

Compiled 2812 to 1629 computations (42.1% saved)

regimes131.0ms (2.3%)

Compiler

Compiled 472 to 406 computations (14% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample903.0ms (15.6%)

Algorithm
intervals
Results
317.0ms8000×body128valid
Compiler

Compiled 124 to 108 computations (12.9% saved)

Profiling

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