Details

analyze540.0ms (25.7%)

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)

sample24.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	53×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify20.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `insert-posit16` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series69.0ms (3.3%)

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify136.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4966	294
1	4966	294

prune11.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

Compiler

Compiled 200 to 51 computations (74.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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))))
2.3b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.3b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `insert-posit16` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

15.0ms	(.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))))
6.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
5.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
5.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

series424.0ms (20.2%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
132.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
79.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
72.0ms	(.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))))

simplify92.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5228	2601

prune85.0ms (4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

Compiler

Compiled 2348 to 422 computations (82% saved)

regimes61.0ms (2.9%)

Compiler: Compiled 202 to 178 computations (11.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample574.0ms (27.4%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	80	valid
36.0ms	1358×	body	80	invalid

Compiler

Compiled 39 to 35 computations (10.3% saved)

Details

analyze540.0ms (25.7%)

sample24.0ms (1.2%)

simplify20.0ms (0.9%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series69.0ms (3.3%)

simplify136.0ms (6.5%)

prune11.0ms (0.5%)

localize8.0ms (0.4%)

rewrite35.0ms (1.7%)

series424.0ms (20.2%)

simplify92.0ms (4.4%)

prune85.0ms (4%)

regimes61.0ms (2.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.3%)

end0.0ms (0%)

sample574.0ms (27.4%)

Profiling