Details

analyze132.0ms (4.5%)

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)

sample36.0ms (1.2%)

Algorithm

1×

intervals

Results

10.0ms	44×	body	1024	valid
8.0ms	182×	body	128	valid
3.0ms	20×	body	1024	invalid
3.0ms	23×	body	512	valid
1.0ms	23×	body	128	invalid
1.0ms	6×	body	512	invalid
1.0ms	8×	body	256	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify102.0ms (3.5%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_782`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `associate-r_binary64_700` `associate-l*_binary64_701` `pow1_binary64_821`
2×	`add-exp-log_binary64_798`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series36.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5010	222

prune17.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

Compiler

Compiled 241 to 83 computations (65.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_782`
13×	`*-un-lft-identity_binary64_760` `sqrt-prod_binary64_776` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`associate-l_binary64_701`
8×	`sqrt-pow1_binary64_778`
7×	`associate-r_binary64_700`
6×	`exp-prod_binary64_812`
4×	`prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
2×	`unswap-sqr_binary64_728` `rem-sqrt-square_binary64_773` `pow1/2_binary64_840` `*-commutative_binary64_691`

Counts

4 → 75

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
6.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series102.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
35.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
12.0ms	(sqrt.f64 (exp.f64 re))
12.0ms	(sqrt.f64 (exp.f64 re))

simplify136.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4783	849
1	4783	849

prune53.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

Compiler

Compiled 1168 to 284 computations (75.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_821`
10×	`add-sqr-sqrt_binary64_782`
9×	`pow1/3_binary64_842`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
7×	`cbrt-prod_binary64_791`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `unswap-sqr_binary64_728` `prod-exp_binary64_809` `pow-plus_binary64_823` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 58

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series362.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
83.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
80.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
77.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5315	791

prune54.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

Compiler

Compiled 1492 to 269 computations (82% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.2b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
14.1b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_782`
8×	`add-cbrt-cube_binary64_796` `cbrt-prod_binary64_791` `pow1_binary64_821`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
6×	`add-exp-log_binary64_798`
3×	`add-log-exp_binary64_799` `associate-r_binary64_700` `associate-l_binary64_701` `pow-unpow_binary64_837`
2×	`cube-mult_binary64_790` `prod-exp_binary64_809` `unpow3_binary64_826` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `cube-prod_binary64_788` `pow-prod-down_binary64_831` `unpow-prod-down_binary64_839` `pow-pow_binary64_832`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `unswap-sqr_binary64_728` `pow-to-exp_binary64_829` `*-commutative_binary64_691`

Counts

3 → 57

Calls

3 calls:

8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series137.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

64.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
38.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
35.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify102.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4885	740
1	4885	740

prune42.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	66	5	71

Merged error: 0b

Counts

71 → 5

Compiler

Compiled 745 to 288 computations (61.3% saved)

regimes79.0ms (2.7%)

Compiler: Compiled 517 to 350 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.3s (43.6%)

Algorithm

1×

intervals

Results

324.0ms	1336×	body	1024	valid
262.0ms	5624×	body	128	valid
115.0ms	670×	body	1024	invalid
91.0ms	693×	body	512	valid
41.0ms	346×	body	512	invalid
37.0ms	815×	body	128	invalid
30.0ms	344×	body	256	valid
14.0ms	167×	body	256	invalid
1.0ms	3×	body	2048	valid

Compiler

Compiled 110 to 77 computations (30% saved)

Details

analyze132.0ms (4.5%)

sample36.0ms (1.2%)

simplify102.0ms (3.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.2%)

series36.0ms (1.2%)

simplify81.0ms (2.8%)

prune17.0ms (0.6%)

localize9.0ms (0.3%)

rewrite26.0ms (0.9%)

series102.0ms (3.5%)

simplify136.0ms (4.6%)

prune53.0ms (1.8%)

localize9.0ms (0.3%)

rewrite23.0ms (0.8%)

series362.0ms (12.4%)

simplify70.0ms (2.4%)

prune54.0ms (1.8%)

localize7.0ms (0.3%)

rewrite18.0ms (0.6%)

series137.0ms (4.7%)

simplify102.0ms (3.5%)

prune42.0ms (1.4%)

regimes79.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (43.6%)

Profiling