Details

Time bar (total: 3.3s)

analyze852.0ms (26.1%)

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)

sample33.0ms (1%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms47×body128invalid
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11314
21314

prune2.0ms (0.1%)

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))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
sum-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
Counts
1 → 11
Calls

1 calls:

4.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 182 to 42 computations (76.9% saved)

series39.0ms (1.2%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

36.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 365 to 235 computations (35.6% saved)

simplify114.0ms (3.5%)

Algorithm
egg-herbie
Rules
750×unsub-neg_binary64
663×distribute-rgt-in_binary64
556×distribute-lft-in_binary64
351×distribute-rgt-out_binary64
334×*-commutative_binary64
Counts
35 → 8
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034518
1109489
2342489
3865489
41790489
53284489
64058489
74961489
84833489

prune6.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New718
Fresh000
Picked011
Done000
Total729
Error
0.0b
Counts
9 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
32.6b
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
Compiler

Compiled 182 to 59 computations (67.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
0.9b
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
0.9b
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))

rewrite79.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×add-cube-cbrt_binary64 *-un-lft-identity_binary64
Counts
4 → 100
Calls

4 calls:

12.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
4.0ms
(+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
3.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
Compiler

Compiled 2411 to 316 computations (86.9% saved)

series169.0ms (5.2%)

Error
0.0b
Counts
4 → 80
Calls

4 calls:

43.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
41.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
40.0ms
(+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
37.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
Compiler

Compiled 2830 to 1623 computations (42.7% saved)

simplify262.0ms (8%)

Algorithm
egg-herbie
Rules
605×distribute-rgt-in_binary64
584×distribute-lft-in_binary64
531×associate-*l*_binary64
395×associate-*r*_binary64
172×distribute-rgt-out_binary64
Counts
180 → 112
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01033651
12183478
26483415
318893261
445513085
547383085
648593081
749573081
848963081

prune29.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh000
Picked011
Done011
Total1113114
Error
0b
Counts
114 → 3
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
32.6b
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
33.2b
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))) 4) (cbrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im))))
Compiler

Compiled 1149 to 233 computations (79.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im))))
0.4b
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))) 4)
0.9b
(sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
1.4b
(cbrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))

rewrite58.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×cbrt-prod_binary64
13×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64
sqrt-prod_binary64 unpow-prod-down_binary64
pow1_binary64
Counts
4 → 68
Calls

4 calls:

6.0ms
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))) 4)
4.0ms
(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
3.0ms
(cbrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
Compiler

Compiled 1892 to 412 computations (78.2% saved)

series492.0ms (15.1%)

Error
0b
Counts
4 → 88
Calls

4 calls:

190.0ms
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))) 4)
118.0ms
(cbrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
84.0ms
(cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im))))
48.0ms
(sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
Compiler

Compiled 8324 to 5526 computations (33.6% saved)

simplify149.0ms (4.6%)

Algorithm
egg-herbie
Rules
477×times-frac_binary64
322×associate-/l*_binary64
305×associate-*r*_binary64
260×cancel-sign-sub-inv_binary64
237×associate-/r*_binary64
Counts
156 → 130
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03585020
110324885
239054847
350464847

prune70.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done022
Total1303133
Error
0b
Counts
133 → 3
Alt Table
StatusErrorProgram
0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
32.6b
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
33.2b
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))) 4) (cbrt.f64 (+.f64 (*.f64 y.im x.re) (*.f64 y.re x.im))))
Compiler

Compiled 3029 to 1183 computations (60.9% saved)

regimes147.0ms (4.5%)

Accuracy

Total 0.0b remaining (18.9%)

Threshold costs 0.0b (18.9%)

Compiler

Compiled 1686 to 983 computations (41.7% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11314
21314

end20.0ms (0.6%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 55 to 35 computations (36.4% saved)

sample686.0ms (21%)

Algorithm
intervals
Results
215.0ms8000×body128valid
32.0ms1319×body128invalid
Compiler

Compiled 83 to 48 computations (42.2% saved)

Profiling

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