Details

Time bar (total: 3.1s)

analyze1.1s (36.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample36.0ms (1.2%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms47×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify10.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11314
21314

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
+-commutative_binary64
flip-+_binary64
*-un-lft-identity_binary64
flip3-+_binary64
Counts
1 → 11
Calls

1 calls:

3.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 182 to 42 computations (76.9% saved)

series26.0ms (0.8%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

23.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 372 to 236 computations (36.6% saved)

simplify110.0ms (3.6%)

Algorithm
egg-herbie
Rules
750×unsub-neg_binary64
663×distribute-rgt-in_binary64
556×distribute-lft-in_binary64
351×distribute-rgt-out_binary64
333×*-commutative_binary64
Counts
35 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034518
1109489
2341489
3864489
41790489
53284489
64058489
74961489
84833489

prune4.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215
Error
0.0b
Counts
15 → 2
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 207 to 61 computations (70.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))
2.0b
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
2.0b
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
2.0b
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))

rewrite52.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
Counts
4 → 87
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))
3.0ms
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
2.0ms
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
2.0ms
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
Compiler

Compiled 3223 to 330 computations (89.8% saved)

series405.0ms (13.1%)

Error
0.0b
Counts
4 → 96
Calls

4 calls:

130.0ms
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
86.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))
77.0ms
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
69.0ms
(cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
Compiler

Compiled 10464 to 5994 computations (42.7% saved)

simplify237.0ms (7.7%)

Algorithm
egg-herbie
Rules
833×associate-/l*_binary64
285×associate-/r/_binary64
210×associate-*r*_binary64
160×*-commutative_binary64
160×times-frac_binary64
Counts
183 → 170
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02686516
17446192
221815808
349465788
449975788
549635788

prune50.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1700170
Fresh000
Picked011
Done011
Total1702172
Error
0.0b
Counts
172 → 2
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (cbrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 4328 to 1076 computations (75.1% saved)

regimes84.0ms (2.7%)

Accuracy

Total 0.0b remaining (12.7%)

Threshold costs 0.0b (12.7%)

Compiler

Compiled 1196 to 584 computations (51.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11314
21314

end101.0ms (3.3%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample816.0ms (26.4%)

Algorithm
intervals
Results
288.0ms8000×body128valid
46.0ms1314×body128invalid
Compiler

Compiled 68 to 36 computations (47.1% saved)

Profiling

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