Details

analyze820.0ms (21.7%)

Algorithm

1×

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample35.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	56×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify142.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune4.0ms (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)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

2 calls:

8.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

series195.0ms (5.2%)

Counts

1 → 24

Calls

1 calls:

195.0ms

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

Compiler

Compiled 204 to 228 computations (-11.8% saved)

simplify144.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4833	489
1	4833	489

prune34.0ms (0.9%)

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 296 to 48 computations (83.8% saved)

localize19.0ms (0.5%)

Local error

Found 8 expressions with local error:

1.3b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (sqrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (sqrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
1.3b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.3b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_782`
24×	`sqrt-prod_binary64_776`
21×	`pow1_binary64_821`
16×	`sqrt-div_binary64_777`
14×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
10×	`sqrt-pow1_binary64_778` `pow1/2_binary64_840`
9×	`flip3-+_binary64_763` `flip-+_binary64_734`
8×	`swap-sqr_binary64_727`
6×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l_binary64_701`
5×	`pow-prod-up_binary64_830`
4×	`unswap-sqr_binary64_728` `rem-sqrt-square_binary64_773` `frac-times_binary64_770`
3×	`pow-sqr_binary64_733` `pow-prod-down_binary64_831`
2×	`associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow2_binary64_841` `prod-exp_binary64_809` `rem-square-sqrt_binary64_772` `pow-plus_binary64_823` `sqr-abs_binary64_775` `sqrt-unprod_binary64_780` `+-commutative_binary64_690` `sum-log_binary64_851` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 99

Calls

8 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (sqrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
7.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

series682.0ms (18.1%)

Counts

4 → 80

Calls

4 calls:

207.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (sqrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
199.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
155.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
120.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

Compiler

Compiled 2128 to 1728 computations (18.8% saved)

simplify163.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4917	3141
1	4917	3141

prune132.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	2	181

Error

0.0b

Counts

181 → 2

Compiler

Compiled 3042 to 360 computations (88.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	79
1	17	79

regimes147.0ms (3.9%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Compiler

Compiled 335 to 423 computations (-26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample1.2s (31.5%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
53.0ms	1342×	body	128	invalid

Compiler

Compiled 137 to 165 computations (-20.4% saved)

Pareto

0.44599530984183816

Details

analyze820.0ms (21.7%)

sample35.0ms (0.9%)

simplify142.0ms (3.8%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite10.0ms (0.3%)

series195.0ms (5.2%)

simplify144.0ms (3.8%)

prune34.0ms (0.9%)

localize19.0ms (0.5%)

rewrite39.0ms (1%)

series682.0ms (18.1%)

simplify163.0ms (4.3%)

prune132.0ms (3.5%)

simplify6.0ms (0.2%)

regimes147.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (31.5%)

Profiling