Details

analyze132.0ms (3.7%)

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)

sample41.0ms (1.2%)

Algorithm

1×

intervals

Results

13.0ms	47×	body	1024	valid
8.0ms	187×	body	128	valid
5.0ms	23×	body	1024	invalid
2.0ms	15×	body	512	valid
1.0ms	10×	body	512	invalid
1.0ms	20×	body	128	invalid
1.0ms	7×	body	256	valid
0.0ms	5×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify155.0ms (4.4%)

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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_772`
3×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `add-cbrt-cube_binary64_784` `-un-lft-identity_binary64_751` `associate-l_binary64_694` `associate-r*_binary64_693`
2×	`add-exp-log_binary64_786`
1×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `add-log-exp_binary64_787` `pow-prod-down_binary64_819` `*-commutative_binary64_684` `cbrt-unprod_binary64_781`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series63.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4862	222
1	4862	222

prune16.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0b

Counts

22 → 4

Compiler

Compiled 229 to 74 computations (67.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.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)))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_809`
10×	`add-sqr-sqrt_binary64_772`
9×	`pow1/3_binary64_830`
8×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
7×	`cbrt-prod_binary64_779`
6×	`add-exp-log_binary64_786`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `swap-sqr_binary64_718` `associate-l_binary64_694` `associate-r_binary64_693`
2×	`pow-sqr_binary64_724` `pow-prod-up_binary64_818` `pow-prod-down_binary64_819`
1×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `pow-plus_binary64_811` `*-commutative_binary64_684` `cbrt-unprod_binary64_781` `pow2_binary64_829`

Counts

4 → 58

Calls

4 calls:

9.0ms	(.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)))

series655.0ms (18.5%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
146.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
140.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
136.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4967	791
1	4967	791

prune55.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Merged error: 0b

Counts

74 → 4

Compiler

Compiled 1490 to 267 computations (82.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.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))))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_809`
32×	`sqrt-pow1_binary64_768`
23×	`pow-prod-down_binary64_819`
14×	`add-sqr-sqrt_binary64_772`
12×	`pow1/2_binary64_828`
10×	`add-cube-cbrt_binary64_783` `pow-prod-up_binary64_818` `*-un-lft-identity_binary64_751`
8×	`add-cbrt-cube_binary64_784`
7×	`associate-l_binary64_694` `add-exp-log_binary64_786` `associate-r_binary64_693`
6×	`pow-sqr_binary64_724` `sqrt-prod_binary64_766`
4×	`add-log-exp_binary64_787` `swap-sqr_binary64_718`
2×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `*-commutative_binary64_684` `cbrt-unprod_binary64_781`
1×	`rem-square-sqrt_binary64_763` `pow-plus_binary64_811` `pow2_binary64_829` `sqrt-unprod_binary64_770`

Counts

4 → 89

Calls

4 calls:

15.0ms	(.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)))

series324.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
93.0ms	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
73.0ms	(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
58.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5135	913

prune61.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

Compiler

Compiled 1321 to 286 computations (78.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 re (log.f64 (sin.f64 im)))
0.3b	(log.f64 (sin.f64 im))
1.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_751`
6×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `add-log-exp_binary64_787` `log-prod_binary64_834` `add-sqr-sqrt_binary64_772`
5×	`exp-prod_binary64_800`
4×	`distribute-lft-out_binary64_704` `add-exp-log_binary64_786`
3×	`add-cbrt-cube_binary64_784` `log-pow_binary64_837` `associate-+r+_binary64_685`
2×	`sum-log_binary64_839` `rem-exp-log_binary64_788`
1×	`+-commutative_binary64_683` `rem-log-exp_binary64_789` `flip3-+_binary64_754` `exp-sum_binary64_794` `flip-+_binary64_725`

Counts

3 → 43

Calls

3 calls:

6.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
5.0ms	(+.f64 re (log.f64 (sin.f64 im)))
2.0ms	(log.f64 (sin.f64 im))

series201.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(log.f64 (sin.f64 im))
61.0ms	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
55.0ms	(+.f64 re (log.f64 (sin.f64 im)))

simplify125.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4791	517
1	4791	517

prune30.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Merged error: 0b

Counts

56 → 4

Compiler

Compiled 513 to 158 computations (69.2% saved)

regimes53.0ms (1.5%)

Compiler: Compiled 242 to 160 computations (33.9% 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 (37.4%)

Algorithm

1×

intervals

Results

384.0ms	1334×	body	1024	valid
260.0ms	5631×	body	128	valid
144.0ms	667×	body	1024	invalid
107.0ms	674×	body	512	valid
41.0ms	307×	body	512	invalid
38.0ms	797×	body	128	invalid
33.0ms	356×	body	256	valid
13.0ms	149×	body	256	invalid
3.0ms	5×	body	2048	valid

Compiler

Compiled 55 to 39 computations (29.1% saved)

Details

analyze132.0ms (3.7%)

sample41.0ms (1.2%)

simplify155.0ms (4.4%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite7.0ms (0.2%)

series63.0ms (1.8%)

simplify51.0ms (1.4%)

prune16.0ms (0.4%)

localize9.0ms (0.3%)

rewrite27.0ms (0.8%)

series655.0ms (18.5%)

simplify63.0ms (1.8%)

prune55.0ms (1.6%)

localize7.0ms (0.2%)

rewrite36.0ms (1%)

series324.0ms (9.2%)

simplify65.0ms (1.8%)

prune61.0ms (1.7%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series201.0ms (5.7%)

simplify125.0ms (3.5%)

prune30.0ms (0.8%)

regimes53.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (37.4%)

Profiling