Details

Time bar (total: 2.3s)

analyze104.0ms (4.5%)

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
25%74.9%0.1%5
25%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample17.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify94.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03816
13816

prune4.0ms (0.2%)

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 35 to 25 computations (28.6% saved)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y)) (*.f64 y y))
0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_13757
sum-log_binary64_13809
pow1_binary64_13779 flip3-+_binary64_13721 add-cbrt-cube_binary64_13754 +-commutative_binary64_13648 add-exp-log_binary64_13756 flip-+_binary64_13692 add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
associate-+l+_binary64_13651
Counts
2 → 24
Calls

2 calls:

7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y)) (*.f64 y y))
5.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))

series52.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y))
24.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 x 2) y)) (*.f64 y y))

simplify62.0ms (2.7%)

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04971549
14971549

prune40.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh101
Picked011
Done000
Total29332

Merged error: 0b

Counts
32 → 3
Compiler

Compiled 578 to 315 computations (45.5% saved)

localize29.0ms (1.2%)

Local error

Found 4 expressions with local error:

1.6b
(*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x))
1.8b
(-.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x)))
2.4b
(*.f64 (*.f64 (*.f64 y y) 4) x)
30.1b
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x))) (*.f64 x (+.f64 x (*.f64 y -2))))

rewrite52.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756
27×pow1_binary64_13779
17×prod-exp_binary64_13767 cbrt-unprod_binary64_13751
16×pow-prod-down_binary64_13789
add-sqr-sqrt_binary64_13740 *-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
add-log-exp_binary64_13757
associate-*l*_binary64_13659 associate-*r*_binary64_13658
times-frac_binary64_13724 associate-/l*_binary64_13663
associate-*r/_binary64_13660 *-commutative_binary64_13649 associate-/r/_binary64_13664 div-exp_binary64_13769 flip3--_binary64_13722 flip--_binary64_13693 cbrt-undiv_binary64_13752 associate-/l/_binary64_13665
associate-/r*_binary64_13662 frac-2neg_binary64_13729 flip3-+_binary64_13721 div-sub_binary64_13723 sub-neg_binary64_13711 diff-log_binary64_13810 flip-+_binary64_13692 cancel-sign-sub-inv_binary64_13684 clear-num_binary64_13717 div-inv_binary64_13715
Counts
4 → 83
Calls

4 calls:

20.0ms
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x))) (*.f64 x (+.f64 x (*.f64 y -2))))
11.0ms
(*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x))
7.0ms
(*.f64 (*.f64 (*.f64 y y) 4) x)
5.0ms
(-.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x)))

series181.0ms (7.8%)

Counts
4 → 12
Calls

4 calls:

94.0ms
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x))) (*.f64 x (+.f64 x (*.f64 y -2))))
41.0ms
(-.f64 (pow.f64 x 4) (*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x)))
28.0ms
(*.f64 x (*.f64 (*.f64 (*.f64 y y) 4) x))
17.0ms
(*.f64 (*.f64 (*.f64 y y) 4) x)

simplify50.0ms (2.2%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050311939

prune151.0ms (6.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done011
Total95398

Merged error: 0b

Counts
98 → 3
Compiler

Compiled 2864 to 1589 computations (44.5% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))
2.4b
(-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
3.7b
(*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y))))
31.9b
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y)))

rewrite100.0ms (4.3%)

Algorithm
rewrite-expression-head
Rules
39×pow1_binary64_13779
20×add-cbrt-cube_binary64_13754 add-exp-log_binary64_13756 add-sqr-sqrt_binary64_13740
18×*-un-lft-identity_binary64_13718 add-cube-cbrt_binary64_13753
15×pow-prod-down_binary64_13789
12×associate-*r/_binary64_13660 flip3-+_binary64_13721 flip-+_binary64_13692
prod-exp_binary64_13767 times-frac_binary64_13724 distribute-lft-in_binary64_13667 distribute-rgt-in_binary64_13668 cbrt-unprod_binary64_13751
frac-times_binary64_13728
cancel-sign-sub-inv_binary64_13684
add-log-exp_binary64_13757
pow-plus_binary64_13781 pow-prod-up_binary64_13788
associate-*l/_binary64_13661 associate-*l*_binary64_13659 associate-*r*_binary64_13658 associate--l+_binary64_13655
associate-/r*_binary64_13662 pow-sqr_binary64_13691 pow2_binary64_13799 unpow-prod-down_binary64_13797 associate-/l*_binary64_13663 swap-sqr_binary64_13685 flip3--_binary64_13722 flip--_binary64_13693
*-commutative_binary64_13649 associate-/r/_binary64_13664 unswap-sqr_binary64_13686 associate-/l/_binary64_13665
frac-2neg_binary64_13729 div-sub_binary64_13723 sub-neg_binary64_13711 sqr-pow_binary64_13690 diff-log_binary64_13810 div-exp_binary64_13769 clear-num_binary64_13717 cbrt-undiv_binary64_13752 div-inv_binary64_13715
Counts
4 → 130
Calls

4 calls:

36.0ms
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y)))
16.0ms
(-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
13.0ms
(*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))
13.0ms
(*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y))))

series184.0ms (7.9%)

Counts
4 → 12
Calls

4 calls:

71.0ms
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4)) (-.f64 (*.f64 x (+.f64 x (*.f64 2 y))) (*.f64 y y)))
64.0ms
(-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))) (pow.f64 y 4))
27.0ms
(*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y))))
21.0ms
(*.f64 (+.f64 x (*.f64 2 y)) (+.f64 x (*.f64 2 y)))

simplify101.0ms (4.3%)

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049813802
149813802

prune290.0ms (12.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done022
Total1423145

Merged error: 0b

Counts
145 → 3
Compiler

Compiled 5273 to 3087 computations (41.5% saved)

regimes68.0ms (2.9%)

Compiler

Compiled 483 to 335 computations (30.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
11316

end0.0ms (0%)

sample706.0ms (30.3%)

Algorithm
intervals
Results
328.0ms8000×body128valid
8.0ms198×body128invalid
Compiler

Compiled 189 to 132 computations (30.2% saved)

Profiling

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