Details

Time bar (total: 3.4s)

analyze132.0ms (3.9%)

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%74.9%0.1%6
31.2%50%18.8%7
34.3%43.7%22%8
45.3%26.5%28.2%9
46.8%23.4%29.8%10
48.8%14%37.2%11
49.8%12.1%38.1%12
52.8%7.1%40.1%13
53.3%6.1%40.6%14
Compiler

Compiled 20 to 12 computations (40% saved)

sample19.0ms (0.6%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify242.0ms (7.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0497520
1497520

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
0.2b
(*.f64 (*.f64 x.re x.im) 3)

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3819 pow1_binary64_3842 add-cbrt-cube_binary64_3817
prod-exp_binary64_3830 pow-prod-down_binary64_3852 cbrt-unprod_binary64_3814
add-sqr-sqrt_binary64_3805 add-log-exp_binary64_3820 add-cube-cbrt_binary64_3816 *-un-lft-identity_binary64_3784
associate-*r*_binary64_3726 associate-*l*_binary64_3727
*-commutative_binary64_3717
flip3--_binary64_3788 diff-log_binary64_3873 flip--_binary64_3759 sub-neg_binary64_3777
Counts
3 → 50
Calls

3 calls:

10.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
8.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
6.0ms
(*.f64 (*.f64 x.re x.im) 3)

series184.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

111.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
38.0ms
(*.f64 (*.f64 x.re x.im) 3)
35.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))

simplify69.0ms (2.1%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04891900
14891900

prune66.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New54559
Fresh011
Picked101
Done000
Total55661

Merged error: 0.0b

Counts
61 → 6
Compiler

Compiled 972 to 681 computations (29.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))

rewrite27.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3819 pow1_binary64_3842 add-cbrt-cube_binary64_3817
prod-exp_binary64_3830 pow-prod-down_binary64_3852 cbrt-unprod_binary64_3814
associate-*l*_binary64_3727
add-sqr-sqrt_binary64_3805 add-log-exp_binary64_3820 add-cube-cbrt_binary64_3816 *-un-lft-identity_binary64_3784
associate-*r*_binary64_3726 *-commutative_binary64_3717
flip3--_binary64_3788 diff-log_binary64_3873 flip--_binary64_3759 sub-neg_binary64_3777
Counts
3 → 50
Calls

3 calls:

10.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
7.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
5.0ms
(*.f64 x.re (*.f64 x.im 3))

series178.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

113.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
34.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))
31.0ms
(*.f64 x.re (*.f64 x.im 3))

simplify82.0ms (2.4%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04900896
14900896

prune58.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done000
Total59665

Merged error: 0.0b

Counts
65 → 6
Compiler

Compiled 963 to 693 computations (28% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
0.2b
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite74.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
59×add-exp-log_binary64_3819 pow1_binary64_3842
40×prod-exp_binary64_3830 pow-prod-down_binary64_3852 cbrt-unprod_binary64_3814
37×add-cbrt-cube_binary64_3817
associate-*r*_binary64_3726
add-sqr-sqrt_binary64_3805 add-cube-cbrt_binary64_3816 *-un-lft-identity_binary64_3784
add-log-exp_binary64_3820
associate-*l*_binary64_3727
*-commutative_binary64_3717 cbrt-prod_binary64_3812
flip3--_binary64_3788 diff-log_binary64_3873 flip--_binary64_3759 sub-neg_binary64_3777
Counts
4 → 93
Calls

4 calls:

21.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
17.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
14.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
10.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

series411.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

163.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
96.0ms
(*.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
87.0ms
(*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
64.0ms
(*.f64 (*.f64 x.re x.im) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify91.0ms (2.7%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049161578
149161578

prune106.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done011
Total1056111

Merged error: 0.0b

Counts
111 → 6
Compiler

Compiled 1825 to 1312 computations (28.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)
0.6b
(cbrt.f64 x.re)

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3812
23×add-sqr-sqrt_binary64_3805
15×add-cube-cbrt_binary64_3816 *-un-lft-identity_binary64_3784
11×pow1_binary64_3842
pow1/3_binary64_3863
add-exp-log_binary64_3819 associate-*r*_binary64_3726 associate-*l*_binary64_3727 swap-sqr_binary64_3751
unswap-sqr_binary64_3752 add-log-exp_binary64_3820 add-cbrt-cube_binary64_3817
pow-prod-up_binary64_3851 pow-prod-down_binary64_3852 pow-sqr_binary64_3757
prod-exp_binary64_3830 pow2_binary64_3862 *-commutative_binary64_3717 pow-plus_binary64_3844 cbrt-unprod_binary64_3814
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms
(cbrt.f64 x.re)
1.0ms
(cbrt.f64 x.re)
1.0ms
(cbrt.f64 x.re)

series643.0ms (19.2%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(cbrt.f64 x.re)
167.0ms
(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
158.0ms
(cbrt.f64 x.re)
150.0ms
(cbrt.f64 x.re)

simplify76.0ms (2.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04937690
14937690

prune81.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0.0b

Counts
91 → 6
Compiler

Compiled 1769 to 840 computations (52.5% saved)

regimes46.0ms (1.4%)

Compiler

Compiled 330 to 246 computations (25.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02420
12420

end0.0ms (0%)

sample688.0ms (20.5%)

Algorithm
intervals
Results
355.0ms8000×body128valid
26.0ms590×body128invalid
Compiler

Compiled 144 to 106 computations (26.4% saved)

Profiling

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