Details

analyze437.0ms (8.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample88.0ms (1.6%)

Algorithm

1×

intervals

Results

18.0ms	53×	body	1024	valid
17.0ms	73×	body	1024	invalid
9.0ms	150×	body	128	valid
9.0ms	33×	body	512	invalid
7.0ms	35×	body	512	valid
5.0ms	89×	body	128	invalid
2.0ms	18×	body	256	valid
2.0ms	15×	body	256	invalid

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

778×	`unswap-sqr_binary64`
491×	`associate-/r*_binary64`
475×	`fabs-mul_binary64`
360×	`associate-/l*_binary64`
346×	`times-frac_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	27	18
2	63	18
3	86	18
4	110	18
5	163	18
6	285	18
7	674	18
8	2124	18
9	2067	18
10	2395	18
11	3858	18
12	4188	18
13	5033	18

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite48.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
1×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 642 to 207 computations (67.8% saved)

series58.0ms (1.1%)

Error

0.0b

Counts

2 → 16

Calls

2 calls:

32.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 604 to 423 computations (30% saved)

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

341×	`times-frac_binary64`
335×	`*-commutative_binary64`
330×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`
230×	`associate-+l+_binary64`

Counts

51 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1074
1	333	920
2	1080	889
3	2408	882
4	4649	882
5	4913	882

prune29.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Error

0.0b

Counts

40 → 3

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))

Compiler

Compiled 630 to 281 computations (55.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
0.0b	(/.f64 1/2 (exp.f64 im))
0.1b	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

rewrite116.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
16×	`add-cbrt-cube_binary64` `associate-l_binary64`
12×	`add-exp-log_binary64`

Counts

4 → 88

Calls

4 calls:

8.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
8.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
7.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
4.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 1933 to 983 computations (49.1% saved)

series129.0ms (2.4%)

Error

Counts

4 → 36

Calls

4 calls:

40.0ms	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
28.0ms	(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
24.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
12.0ms	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 1589 to 1003 computations (36.9% saved)

simplify162.0ms (3%)

Algorithm

1×	egg-herbie

Rules

362×	`distribute-rgt-neg-in_binary64`
314×	`cancel-sign-sub-inv_binary64`
272×	`associate-*l/_binary64`
216×	`associate-r_binary64`
212×	`associate-l_binary64`

Counts

124 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	2069
1	533	1916
2	1658	1856
3	4062	1848
4	4924	1848
5	4997	1848
6	4942	1848

prune65.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Status	Error	Program
▶	1.0b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
	1.1b	(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))

Compiler

Compiled 1370 to 717 computations (47.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.4b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.5b	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))

rewrite96.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`*-un-lft-identity_binary64`
15×	`associate-r_binary64`
14×	`sqrt-div_binary64`
10×	`associate-*r/_binary64`

Counts

4 → 83

Calls

4 calls:

18.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
4.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 2412 to 599 computations (75.2% saved)

series115.0ms (2.2%)

Error

Counts

4 → 32

Calls

4 calls:

41.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
31.0ms	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
10.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
10.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 1809 to 1161 computations (35.8% saved)

simplify121.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

466×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
342×	`associate-l_binary64`
238×	`associate-r_binary64`
208×	`associate-/l*_binary64`

Counts

115 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3053
1	586	2647
2	1951	2515
3	4728	2515
4	4922	2515

prune52.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	87	4	91

Error

Counts

91 → 4

Alt Table

Status	Error	Program
✓	1.0b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
▶	1.1b	(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))

Compiler

Compiled 1737 to 710 computations (59.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 im im))
0.0b	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
0.1b	(*.f64 1/24 (pow.f64 im 4))
0.1b	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))

rewrite127.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
11×	`pow1_binary64` `associate-r_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 77

Calls

4 calls:

9.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
6.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
5.0ms	(.f64 1/2 (.f64 im im))
5.0ms	(*.f64 1/24 (pow.f64 im 4))

Compiler

Compiled 1846 to 1105 computations (40.1% saved)

series92.0ms (1.7%)

Error

Counts

4 → 22

Calls

4 calls:

45.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))
17.0ms	(+.f64 (.f64 1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
11.0ms	(*.f64 1/24 (pow.f64 im 4))
8.0ms	(.f64 1/2 (.f64 im im))

Compiler

Compiled 900 to 637 computations (29.2% saved)

simplify133.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

513×	`*-commutative_binary64`
496×	`cancel-sign-sub-inv_binary64`
355×	`distribute-rgt-neg-in_binary64`
332×	`distribute-lft-neg-in_binary64`
269×	`distribute-rgt-out_binary64`

Counts

99 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1663
1	373	1538
2	1257	1492
3	2914	1477
4	4726	1477
5	4908	1477
6	4926	1477

prune52.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	61	4	65

Error

Counts

65 → 4

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (sqrt.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	0.0b	(+.f64 (.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
	1.1b	(+.f64 (sin.f64 re) (.f64 (sin.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))

Compiler

Compiled 914 to 545 computations (40.4% saved)

regimes404.0ms (7.6%)

Accuracy

Total 0.0b remaining (25.8%)

Threshold costs 0.0b (25.8%)

Compiler

Compiled 5914 to 3940 computations (33.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	15	24
2	15	24

end1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

sample2.8s (52%)

Algorithm

1×

intervals

Results

735.0ms	2041×	body	1024	valid
467.0ms	1979×	body	1024	invalid
290.0ms	4462×	body	128	valid
205.0ms	1027×	body	512	valid
171.0ms	2614×	body	128	invalid
171.0ms	1016×	body	512	invalid
63.0ms	541×	body	256	invalid
60.0ms	464×	body	256	valid
4.0ms	6×	body	2048	valid

Compiler

Compiled 105 to 73 computations (30.5% saved)

Details

analyze437.0ms (8.2%)

sample88.0ms (1.6%)

simplify81.0ms (1.5%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite48.0ms (0.9%)

series58.0ms (1.1%)

simplify92.0ms (1.7%)

prune29.0ms (0.6%)

localize13.0ms (0.2%)

rewrite116.0ms (2.2%)

series129.0ms (2.4%)

simplify162.0ms (3%)

prune65.0ms (1.2%)

localize13.0ms (0.2%)

rewrite96.0ms (1.8%)

series115.0ms (2.2%)

simplify121.0ms (2.3%)

prune52.0ms (1%)

localize11.0ms (0.2%)

rewrite127.0ms (2.4%)

series92.0ms (1.7%)

simplify133.0ms (2.5%)

prune52.0ms (1%)

regimes404.0ms (7.6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.8s (52%)

Profiling