Details

analyze559.0ms (4.4%)

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)

sample7.2s (56.7%)

Results

3.6s	5024×	body	1024	valid
1.2s	1949×	body	1024	invalid
744.0ms	1768×	body	512	valid
451.0ms	440×	body	2048	valid
429.0ms	1059×	body	512	invalid
231.0ms	508×	body	256	invalid
205.0ms	676×	body	256	valid
117.0ms	723×	body	128	invalid
51.0ms	348×	body	128	valid
7.0ms	1×	body	2048	invalid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify104.0ms (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

58.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	58.2b	(.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)

localize9.0ms (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)))
✓	7.5b	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

series22.0ms (0.2%)

Counts

2 → 36

Calls

2 calls:

19.0ms	(.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))

rewrite66.0ms (0.5%)

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:

18.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
13.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

simplify196.0ms (1.6%)

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

prune151.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	260	2	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	2	263

Error

0.1b

Counts

263 → 2

Alt Table

Status	Error	Program
	0.2b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
▶	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)))))))

Status

Error

Program

0.2b

(neg.f64 (+.f64 (*.f64 (cos.f64 re) im) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3))) (*.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))

▶

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)))))))

Compiler

Compiled 10231 to 3850 computations (62.4% saved)

localize18.0ms (0.1%)

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)))))))

series83.0ms (0.7%)

Counts

4 → 48

Calls

4 calls:

68.0ms	(.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)))))))
6.0ms	(*.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)))))

rewrite16.0ms (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:

7.0ms	(.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))))

simplify109.0ms (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

prune215.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Error

0.0b

Counts

139 → 6

Alt Table

Status	Error	Program
	1.5b	(.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)))))
▶	0.2b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	32.8b	(.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))))))))
	36.9b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (cbrt.f64 (.f64 (.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))))) (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)))))) (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)))))))))
	31.8b	(.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)))))))
	31.7b	(.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)))))

Compiler

Compiled 5090 to 3889 computations (23.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 re) (pow.f64 im 3))
✓	0.1b	(.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5)))
✓	0.1b	(*.f64 (cos.f64 re) im)
✓	0.1b	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))

series66.0ms (0.5%)

Counts

4 → 16

Calls

4 calls:

23.0ms	(.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5)))
20.0ms	(.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)

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64`
18×	`prod-exp_binary64`
17×	`associate-r_binary64`

Counts

4 → 95

Calls

4 calls:

7.0ms	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
5.0ms	(*.f64 (cos.f64 re) (pow.f64 im 3))
5.0ms	(.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5)))
3.0ms	(*.f64 (cos.f64 re) im)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-neg_binary64`
476×	`fma-def_binary64`
346×	`cancel-sign-sub-inv_binary64`
312×	`associate-r_binary64`
258×	`associate-l_binary64`

Counts

111 → 164

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	1704
1	473	1481
2	1687	1413
3	3569	1412
4	4870	1410
5	4924	1410

prune392.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	160	10	170

Error

0.0b

Counts

170 → 10

Alt Table

Status	Error	Program
▶	0.8b	(neg.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (.f64 (cbrt.f64 (cos.f64 re)) im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
✓	0.2b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	32.8b	(.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))))))))
	32.8b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) (sqrt.f64 (.f64 (cos.f64 re) im))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	14.2b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (cos.f64 re)) (.f64 (sqrt.f64 (cos.f64 re)) im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	36.9b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (cbrt.f64 (.f64 (.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))))) (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)))))) (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)))))))))
	31.8b	(.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)))))))
	31.7b	(.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)))))
	31.8b	(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	1.5b	(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 re) (pow.f64 (cbrt.f64 im) 2)) (cbrt.f64 im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))

Compiler

Compiled 5609 to 3440 computations (38.7% saved)

localize17.0ms (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)))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (*.f64 (cbrt.f64 (cos.f64 re)) im))
✓	0.3b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
✓	0.4b	(cbrt.f64 (cos.f64 re))

series559.0ms (4.4%)

Counts

3 → 48

Calls

3 calls:

351.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
200.0ms	(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))

rewrite81.0ms (0.6%)

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:

71.0ms	(.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))

simplify96.0ms (0.8%)

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

prune304.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	204	9	213

Error

Counts

213 → 9

Alt Table

Status	Error	Program
	32.8b	(.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))))))))
	32.8b	(neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) (sqrt.f64 (.f64 (cos.f64 re) im))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	31.7b	(.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)))))
	0.5b	(neg.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 re) 2)) (.f64 (cbrt.f64 (cos.f64 re)) im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
✓	0.2b	(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	0.4b	(neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 re) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 re)) im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	36.9b	(.f64 (.f64 1/2 (cos.f64 re)) (neg.f64 (cbrt.f64 (.f64 (.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))))) (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)))))) (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)))))))))
	0.9b	(neg.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 re)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) (cbrt.f64 (cbrt.f64 (cos.f64 re)))) (cbrt.f64 (cbrt.f64 (cos.f64 re))))) (.f64 (cbrt.f64 (cos.f64 re)) im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	31.8b	(neg.f64 (+.f64 (.f64 (.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))

Compiler

Compiled 7873 to 3875 computations (50.8% saved)

regimes1.9s (15.4%)

Accuracy

Total 0.1b remaining (13.5%)

Threshold costs 0.1b (13.5%)

Counts

220 → 1

Compiler

Compiled 45206 to 31561 computations (30.2% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	45
1	46	43
2	69	43
3	89	43
4	98	43
5	102	43
6	103	43
7	101	43

end302.0ms (2.4%)

Compiler: Compiled 422 to 302 computations (28.4% saved)

Details

analyze559.0ms (4.4%)

sample7.2s (56.7%)

simplify104.0ms (0.8%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series22.0ms (0.2%)

rewrite66.0ms (0.5%)

simplify196.0ms (1.6%)

prune151.0ms (1.2%)

localize18.0ms (0.1%)

series83.0ms (0.7%)

rewrite16.0ms (0.1%)

simplify109.0ms (0.9%)

prune215.0ms (1.7%)

localize15.0ms (0.1%)

series66.0ms (0.5%)

rewrite26.0ms (0.2%)

simplify93.0ms (0.7%)

prune392.0ms (3.1%)

localize17.0ms (0.1%)

series559.0ms (4.4%)

rewrite81.0ms (0.6%)

simplify96.0ms (0.8%)

prune304.0ms (2.4%)

regimes1.9s (15.4%)

simplify5.0ms (0%)

end302.0ms (2.4%)

Profiling