Details

Time bar (total: 3.3s)

analyze134.0ms (4.1%)

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
1.0ms21×body128invalid
Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify242.0ms (7.4%)

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))
0.3b
(*.f64 (*.f64 x.re x.im) 3)

rewrite27.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3145 pow1_binary64_3168 add-cbrt-cube_binary64_3143
prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-log-exp_binary64_3146 add-sqr-sqrt_binary64_3131
associate-*l*_binary64_3053 associate-*r*_binary64_3052
*-commutative_binary64_3043
sub-neg_binary64_3103 diff-log_binary64_3199 flip3--_binary64_3114 flip--_binary64_3085
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))
5.0ms
(*.f64 (*.f64 x.re x.im) 3)

series169.0ms (5.2%)

Counts
3 → 9
Calls

3 calls:

104.0ms
(-.f64 (*.f64 x.re (*.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
34.0ms
(*.f64 x.re (*.f64 (*.f64 x.re x.im) 3))
32.0ms
(*.f64 (*.f64 x.re x.im) 3)

simplify68.0ms (2.1%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04891900
14891900

prune64.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New56359
Fresh011
Picked011
Done000
Total56561

Merged error: 0.0b

Counts
61 → 5
Compiler

Compiled 945 to 662 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.re (*.f64 x.im 3)))
0.2b
(*.f64 x.re (*.f64 x.im 3))

rewrite25.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64_3145 pow1_binary64_3168 add-cbrt-cube_binary64_3143
prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140
associate-*l*_binary64_3053
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-log-exp_binary64_3146 add-sqr-sqrt_binary64_3131
*-commutative_binary64_3043 associate-*r*_binary64_3052
sub-neg_binary64_3103 diff-log_binary64_3199 flip3--_binary64_3114 flip--_binary64_3085
Counts
3 → 50
Calls

3 calls:

9.0ms
(-.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))

series187.0ms (5.7%)

Counts
3 → 9
Calls

3 calls:

115.0ms
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
36.0ms
(*.f64 x.re (*.f64 x.im 3))
35.0ms
(*.f64 x.re (*.f64 x.re (*.f64 x.im 3)))

simplify81.0ms (2.5%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04900896
14900896

prune53.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done011
Total59564

Merged error: 0.0b

Counts
64 → 5
Compiler

Compiled 936 to 674 computations (28% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
0.1b
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.1b
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
8.6b
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

rewrite36.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
12×associate-*l/_binary64_3055 add-sqr-sqrt_binary64_3131
add-cube-cbrt_binary64_3142 *-un-lft-identity_binary64_3110 add-exp-log_binary64_3145 pow1_binary64_3168 add-log-exp_binary64_3146 add-cbrt-cube_binary64_3143
associate-*l*_binary64_3053
associate-*r*_binary64_3052
flip3-+_binary64_3113 flip-+_binary64_3084
frac-add_binary64_3118
flip3--_binary64_3114 flip--_binary64_3085
+-commutative_binary64_3042 prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140 sum-log_binary64_3198 *-commutative_binary64_3043 unswap-sqr_binary64_3078
difference-of-squares_binary64_3079
Counts
4 → 67
Calls

4 calls:

9.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
9.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
7.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
4.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))

series290.0ms (8.9%)

Counts
4 → 12
Calls

4 calls:

122.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
88.0ms
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
40.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
39.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)

simplify68.0ms (2.1%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
047901615
147901615

prune82.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78179
Fresh022
Picked101
Done022
Total79584

Merged error: 0.0b

Counts
84 → 5
Compiler

Compiled 1939 to 858 computations (55.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
0.1b
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.1b
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
0.1b
(*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))

rewrite49.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
24×associate-*r/_binary64_3054 associate-*l/_binary64_3055
20×flip3-+_binary64_3113 flip-+_binary64_3084
16×frac-add_binary64_3118
12×frac-times_binary64_3120
11×add-exp-log_binary64_3145 pow1_binary64_3168 add-cbrt-cube_binary64_3143
*-un-lft-identity_binary64_3110 flip3--_binary64_3114 add-sqr-sqrt_binary64_3131 flip--_binary64_3085
sub-neg_binary64_3103 add-log-exp_binary64_3146 distribute-lft-in_binary64_3061 distribute-rgt-in_binary64_3062
add-cube-cbrt_binary64_3142 associate-*l*_binary64_3053
prod-exp_binary64_3156 pow-prod-down_binary64_3178 cbrt-unprod_binary64_3140 associate-*r*_binary64_3052 associate-+l+_binary64_3045
+-commutative_binary64_3042 sum-log_binary64_3198 *-commutative_binary64_3043
distribute-lft-out_binary64_3063 unswap-sqr_binary64_3078
Counts
4 → 93
Calls

4 calls:

14.0ms
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
11.0ms
(*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))
6.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
4.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))

series292.0ms (8.9%)

Counts
4 → 12
Calls

4 calls:

114.0ms
(*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im)))
110.0ms
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.im (-.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
34.0ms
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
33.0ms
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)

simplify111.0ms (3.4%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
046832784
146832784

prune105.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1023105
Fresh022
Picked011
Done022
Total1028110

Merged error: 0.0b

Counts
110 → 8
Compiler

Compiled 2635 to 1078 computations (59.1% saved)

regimes134.0ms (4.1%)

Compiler

Compiled 1449 to 1020 computations (29.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02420
12420

end0.0ms (0%)

sample989.0ms (30.3%)

Algorithm
intervals
Results
362.0ms8000×body128valid
26.0ms596×body128invalid
Compiler

Compiled 517 to 364 computations (29.6% saved)

Profiling

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