Details

analyze962.0ms (23.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	25	98
0	4	4
1	4	4

Search

True	Other	False	Iter
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

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 8 to 8 computations (0% saved)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	42×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_799`
1×	`sum-log_binary64_851` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `flip3-+_binary64_763` `*-un-lft-identity_binary64_760` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

Compiler

Compiled 178 to 42 computations (76.4% saved)

series152.0ms (3.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

140.0ms

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

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify92.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4833	489
1	4833	489

prune18.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 305 to 52 computations (83% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (cbrt.f64 (+.f64 (.f64 y.re x.im) (*.f64 y.im x.re))))
1.5b	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
1.5b	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
1.5b	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))

rewrite121.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
18×	`cbrt-div_binary64_792`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842` `flip3-+_binary64_763` `flip-+_binary64_734`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `frac-times_binary64_770` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (cbrt.f64 (+.f64 (.f64 y.re x.im) (*.f64 y.im x.re))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))

Compiler

Compiled 3392 to 341 computations (89.9% saved)

series1.5s (36.7%)

Error

0.0b

Counts

4 → 98

Calls

4 calls:

417.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (cbrt.f64 (+.f64 (.f64 y.re x.im) (*.f64 y.im x.re))))
322.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
313.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
308.0ms	(cbrt.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)))

Compiler

Compiled 10758 to 6496 computations (39.6% saved)

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4976	6049
1	4976	6049

prune190.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	185	2	187

Error

0.0b

Counts

187 → 2

Compiler

Compiled 6280 to 1462 computations (76.7% saved)

regimes120.0ms (3%)

Accuracy

Total 0.0b remaining (18.4%)

Threshold costs 0.0b (18.4%)

Compiler

Compiled 1014 to 619 computations (39% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample730.0ms (18%)

Algorithm

1×

intervals

Results

213.0ms	8000×	body	128	valid
36.0ms	1314×	body	128	invalid

Compiler

Compiled 155 to 98 computations (36.8% saved)

Details

analyze962.0ms (23.7%)

sample32.0ms (0.8%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite13.0ms (0.3%)

series152.0ms (3.8%)

simplify92.0ms (2.3%)

prune18.0ms (0.4%)

localize10.0ms (0.2%)

rewrite121.0ms (3%)

series1.5s (36.7%)

simplify87.0ms (2.2%)

prune190.0ms (4.7%)

regimes120.0ms (3%)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

end0.0ms (0%)

sample730.0ms (18%)

Profiling