Details

analyze133.0ms (5.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample40.0ms (1.7%)

Algorithm

1×

intervals

Results

14.0ms	47×	body	1024	valid
8.0ms	182×	body	128	valid
3.0ms	13×	body	1024	invalid
2.0ms	14×	body	512	valid
1.0ms	11×	body	512	invalid
1.0ms	12×	body	256	valid
1.0ms	11×	body	256	invalid
1.0ms	21×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify168.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_789`
3×	`associate-l_binary64_708` `associate-r_binary64_707` `pow1_binary64_828` `*-un-lft-identity_binary64_767` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
2×	`add-exp-log_binary64_805`
1×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `pow-prod-down_binary64_838`

Counts

1 → 18

Calls

1 calls:

7.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

series59.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

59.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify56.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	222
1	4976	222

prune14.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

Compiler

Compiled 221 to 72 computations (67.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.0b	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0b	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.2b	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

rewrite34.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_828`
32×	`sqrt-pow1_binary64_785`
23×	`pow-prod-down_binary64_838`
14×	`add-sqr-sqrt_binary64_789`
12×	`pow1/2_binary64_847`
10×	`pow-prod-up_binary64_837` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
8×	`add-cbrt-cube_binary64_803`
7×	`associate-l_binary64_708` `associate-r_binary64_707` `add-exp-log_binary64_805`
6×	`sqrt-prod_binary64_783` `pow-sqr_binary64_740`
4×	`swap-sqr_binary64_734` `add-log-exp_binary64_806`
2×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698`
1×	`pow2_binary64_848` `pow-plus_binary64_830` `rem-square-sqrt_binary64_779` `sqrt-unprod_binary64_787`

Counts

4 → 89

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series346.0ms (14.8%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
106.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
68.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
62.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5026	913

prune63.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

Compiler

Compiled 1341 to 299 computations (77.7% saved)

regimes39.0ms (1.7%)

Compiler: Compiled 112 to 90 computations (19.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.3s (56%)

Algorithm

1×

intervals

Results

392.0ms	1306×	body	1024	valid
267.0ms	5725×	body	128	valid
143.0ms	668×	body	1024	invalid
101.0ms	646×	body	512	valid
42.0ms	311×	body	512	invalid
40.0ms	860×	body	128	invalid
31.0ms	321×	body	256	valid
15.0ms	168×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

Details

analyze133.0ms (5.7%)

sample40.0ms (1.7%)

simplify168.0ms (7.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite8.0ms (0.3%)

series59.0ms (2.5%)

simplify56.0ms (2.4%)

prune14.0ms (0.6%)

localize7.0ms (0.3%)

rewrite34.0ms (1.5%)

series346.0ms (14.8%)

simplify52.0ms (2.2%)

prune63.0ms (2.7%)

regimes39.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (56%)

Profiling