Details

analyze525.0ms (4.7%)

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample6.8s (60.1%)

Results

3.5s	5075×	body	1024	valid
1.2s	2059×	body	1024	invalid
760.0ms	1764×	body	512	valid
386.0ms	405×	body	2048	valid
378.0ms	993×	body	512	invalid
172.0ms	629×	body	256	valid
132.0ms	490×	body	256	invalid
105.0ms	705×	body	128	invalid
66.0ms	383×	body	128	valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64`
509×	`div-sub_binary64`
462×	`times-frac_binary64`
386×	`sub-neg_binary64`
367×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	49	18
3	111	18
4	208	17
5	362	17
6	692	17
7	1513	17
8	3726	17
9	4287	17
10	4857	17
11	4749	17

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

57.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	57.9b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	5.9b	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

series20.0ms (0.2%)

Counts

2 → 36

Calls

2 calls:

18.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
2.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

rewrite63.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

234×	`prod-diff_binary64`
138×	`*-un-lft-identity_binary64`
138×	`add-sqr-sqrt_binary64`
134×	`add-cube-cbrt_binary64`
130×	`exp-sum_binary64`

Counts

2 → 210

Calls

2 calls:

14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
10.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

simplify192.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
353×	`associate-l_binary64`
348×	`cancel-sign-sub-inv_binary64`
337×	`associate-r_binary64`
312×	`distribute-rgt-in_binary64`

Counts

246 → 262

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	385	6318
1	601	5551
2	2210	4517
3	4561	4512
4	5041	4512

prune163.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	259	3	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	3	263

Error

0.1b

Counts

263 → 3

Alt Table

Status	Error	Program
	0.8b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
▶	0.7b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))
	57.9b	(.f64 (.f64 1/2 (cos.f64 re)) (/.f64 (-.f64 (exp.f64 (*.f64 im -3)) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 1 (pow.f64 (exp.f64 im) 2)))))

Compiler

Compiled 10269 to 3880 computations (62.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))
✓	0.0b	(fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))
✓	0.1b	(*.f64 1/2520 (pow.f64 im 7))
✓	0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))

series85.0ms (0.8%)

Counts

4 → 48

Calls

4 calls:

72.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))
4.0ms	(fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))
4.0ms	(fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`associate-r_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64`

Counts

4 → 77

Calls

4 calls:

5.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))
4.0ms	(*.f64 1/2520 (pow.f64 im 7))
0.0ms	(fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))
0.0ms	(fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

320×	`associate--l+_binary64`
274×	`associate-r_binary64`
263×	`associate-l_binary64`
245×	`cancel-sign-sub-inv_binary64`
190×	`fma-def_binary64`

Counts

125 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3505
1	674	3159
2	2534	3065
3	4687	3065
4	4971	3065

prune226.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	128	9	137
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	129	11	140

Error

0.0b

Counts

140 → 11

Alt Table

Status	Error	Program
▶	0.8b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
	33.0b	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (sqrt.f64 (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))))))
	35.7b	(exp.f64 (log.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))))
	2.1b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (.f64 (.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))) (cbrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))))
	32.2b	(.f64 (.f64 (.f64 -1/2 (cos.f64 re)) (sqrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))))) (sqrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))
	33.3b	(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))) (sqrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))))
	57.9b	(.f64 (.f64 1/2 (cos.f64 re)) (/.f64 (-.f64 (exp.f64 (*.f64 im -3)) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 1 (pow.f64 (exp.f64 im) 2)))))
	2.0b	(.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))) (cbrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re))))) (cbrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))))
	32.2b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))))
	2.1b	(.f64 (.f64 (.f64 -1/2 (cos.f64 re)) (.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))) (cbrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (cbrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))
	40.2b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))))) (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))))

Compiler

Compiled 5536 to 4245 computations (23.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 re) (pow.f64 im 3))
✓	0.1b	(*.f64 (cos.f64 re) im)
✓	0.1b	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))

series42.0ms (0.4%)

Counts

3 → 12

Calls

3 calls:

19.0ms	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
15.0ms	(*.f64 (cos.f64 re) (pow.f64 im 3))
7.0ms	(*.f64 (cos.f64 re) im)

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
12×	`add-cbrt-cube_binary64`
11×	`prod-exp_binary64`

Counts

3 → 74

Calls

3 calls:

5.0ms	(*.f64 (cos.f64 re) (pow.f64 im 3))
5.0ms	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
3.0ms	(*.f64 (cos.f64 re) im)

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-neg_binary64`
443×	`*-commutative_binary64`
358×	`fma-def_binary64`
274×	`distribute-rgt-neg-in_binary64`
261×	`cancel-sign-sub-inv_binary64`

Counts

86 → 127

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	1257
1	336	1102
2	1177	1062
3	2719	1055
4	4782	1029
5	4979	1029
6	4932	1029

prune155.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Error

0.0b

Counts

138 → 11

Alt Table

Status	Error	Program
✓	0.8b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
	32.0b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) (sqrt.f64 (.f64 (cos.f64 re) im))) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
	33.0b	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (sqrt.f64 (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))))))
▶	1.4b	(neg.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (.f64 (cbrt.f64 (cos.f64 re)) im)) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
	40.2b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))))) (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))))
	32.2b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (sqrt.f64 (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))))
	33.3b	(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))) (sqrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))))
	2.1b	(.f64 (.f64 (.f64 -1/2 (cos.f64 re)) (.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))) (cbrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (cbrt.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))
	32.3b	(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))
	57.9b	(.f64 (.f64 1/2 (cos.f64 re)) (/.f64 (-.f64 (exp.f64 (*.f64 im -3)) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 1 (pow.f64 (exp.f64 im) 2)))))
	16.7b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (cos.f64 re)) (.f64 (sqrt.f64 (cos.f64 re)) im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))

Compiler

Compiled 3407 to 2058 computations (39.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
✓	0.1b	(.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (*.f64 (cbrt.f64 (cos.f64 re)) im))
✓	0.2b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
✓	0.3b	(cbrt.f64 (cos.f64 re))

series599.0ms (5.3%)

Counts

3 → 48

Calls

3 calls:

335.0ms	(cbrt.f64 (cos.f64 re))
256.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
8.0ms	(.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (*.f64 (cbrt.f64 (cos.f64 re)) im))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
17×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64`

Counts

3 → 79

Calls

3 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (*.f64 (cbrt.f64 (cos.f64 re)) im))
5.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
1.0ms	(cbrt.f64 (cos.f64 re))

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-neg_binary64`
804×	`fma-def_binary64`
419×	`*-commutative_binary64`
369×	`sub-neg_binary64`
229×	`cancel-sign-sub-inv_binary64`

Counts

127 → 121

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1274
1	281	1120
2	945	1074
3	1893	1046
4	3942	922
5	4995	922
6	4927	922

prune238.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	204	10	214

Error

0.0b

Counts

214 → 10

Alt Table

Status	Error	Program
✓	0.8b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
	32.0b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) (sqrt.f64 (.f64 (cos.f64 re) im))) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
	1.0b	(neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 re) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 re)) im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))
	1.2b	(neg.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 re) 2)) (.f64 (cbrt.f64 (cos.f64 re)) im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))
	16.8b	(neg.f64 (+.f64 (.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 re) 2/3))) (.f64 (cbrt.f64 (cos.f64 re)) im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))
	33.3b	(.f64 (sqrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))) (sqrt.f64 (.f64 -1/2 (.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7))))) (cos.f64 re)))))
	32.3b	(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))
	57.9b	(.f64 (.f64 1/2 (cos.f64 re)) (/.f64 (-.f64 (exp.f64 (*.f64 im -3)) (pow.f64 (exp.f64 im) 3)) (+.f64 (pow.f64 (exp.f64 im) -2) (+.f64 1 (pow.f64 (exp.f64 im) 2)))))
	16.7b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (cos.f64 re)) (.f64 (sqrt.f64 (cos.f64 re)) im)) (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))
	40.2b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7))))))) (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))))) (.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (*.f64 1/2520 (pow.f64 im 7)))))))))

Compiler

Compiled 5993 to 2624 computations (56.2% saved)

regimes1.5s (13%)

Accuracy

Total 0.6b remaining (84.2%)

Threshold costs 0.6b (84.2%)

Counts

199 → 1

Compiler

Compiled 34824 to 25010 computations (28.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	35
1	35	35
2	42	33
3	55	33
4	60	33
5	63	33
6	64	33
7	60	33

end234.0ms (2.1%)

Compiler: Compiled 357 to 261 computations (26.9% saved)

Details

analyze525.0ms (4.7%)

sample6.8s (60.1%)

simplify85.0ms (0.8%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series20.0ms (0.2%)

rewrite63.0ms (0.6%)

simplify192.0ms (1.7%)

prune163.0ms (1.4%)

localize17.0ms (0.2%)

series85.0ms (0.8%)

rewrite14.0ms (0.1%)

simplify107.0ms (0.9%)

prune226.0ms (2%)

localize9.0ms (0.1%)

series42.0ms (0.4%)

rewrite16.0ms (0.1%)

simplify96.0ms (0.9%)

prune155.0ms (1.4%)

localize12.0ms (0.1%)

series599.0ms (5.3%)

rewrite19.0ms (0.2%)

simplify99.0ms (0.9%)

prune238.0ms (2.1%)

regimes1.5s (13%)

simplify4.0ms (0%)

end234.0ms (2.1%)

Profiling