Details

analyze531.0ms (6.1%)

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)

sample6.5s (73.8%)

Results

3.4s	4993×	body	1024	valid
1.1s	1946×	body	1024	invalid
674.0ms	1765×	body	512	valid
425.0ms	435×	body	2048	valid
383.0ms	1079×	body	512	invalid
171.0ms	684×	body	256	valid
170.0ms	547×	body	256	invalid
104.0ms	718×	body	128	invalid
53.0ms	379×	body	128	valid

Compiler

Compiled 30 to 24 computations (20% saved)

preprocess42.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

692×	`fma-def_binary64`
564×	`times-frac_binary64`
454×	`fma-neg_binary64`
227×	`associate-/l*_binary64`
166×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	40	36
2	95	36
3	255	36
4	539	34
5	912	34
6	1812	34
7	3751	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (cos.f64 im)) (-.f64 (exp.f64 (-.f64 0 re)) (exp.f64 re)))

Outputs
(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (cos.f64 re) (.f64 1/2 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) -1/2 (/.f64 1/2 (exp.f64 im))))
(.f64 (.f64 1/2 (cos.f64 im)) (-.f64 (exp.f64 (-.f64 0 re)) (exp.f64 re)))
(.f64 1/2 (.f64 (cos.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(.f64 (.f64 1/2 (cos.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(.f64 (cos.f64 im) (.f64 1/2 (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (cos.f64 im) (fma.f64 (exp.f64 re) -1/2 (/.f64 1/2 (exp.f64 re))))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

623×	`associate-/l*_binary64`
462×	`times-frac_binary64`
358×	`fma-neg_binary64`
346×	`fma-def_binary64`
322×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	23	18
2	52	18
3	132	18
4	281	17
5	473	17
6	929	17
7	2376	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Outputs
(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (.f64 1/2 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) -1/2 (/.f64 1/2 (exp.f64 im))))

prune10.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

58.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	58.3b	(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) -1/2 (/.f64 1/2 (exp.f64 im))))
▶	58.3b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 79 to 56 computations (29.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 re)
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	6.4b	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

series9.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
1.0ms	im	@	0	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
1.0ms	im	@	inf	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
1.0ms	im	@	0	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))
1.0ms	re	@	inf	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

313×	`prod-diff_binary64`
198×	`fma-def_binary64`
178×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
144×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	252	27
2	3434	23

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs
(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))
(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(cos.f64 re)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 im) (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 im) (.f64 (neg.f64 (exp.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 im)) (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 im)) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 im)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (exp.f64 im)) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2) (cbrt.f64 (.f64 2 (sinh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (sinh.f64 im))) (sqrt.f64 (.f64 2 (sinh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2)) (/.f64 1 (.f64 2 (cosh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (sinh.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2)) (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 2 (cosh.f64 im)) (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im))) (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2)) (.f64 2 (cosh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im)))) (neg.f64 (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2))) (neg.f64 (.f64 2 (cosh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (.f64 3 im)) (pow.f64 (neg.f64 (exp.f64 im)) 3)) (+.f64 (pow.f64 (exp.f64 im) 2) (-.f64 (.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im))) (.f64 (exp.f64 im) (neg.f64 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im)))) (-.f64 (exp.f64 im) (neg.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (sinh.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2 (sinh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (sinh.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (exp.f64 im))) (exp.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (exp.f64 im)) (+.f64 1 (expm1.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (exp.f64 im))) (+.f64 1 (expm1.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (exp.f64 im))) (exp.f64 (neg.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (exp.f64 im)) (/.f64 1 (exp.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (exp.f64 im))) (/.f64 1 (exp.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (exp.f64 im))) (exp.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (exp.f64 im))) (exp.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (neg.f64 (exp.f64 im))) (+.f64 1 (expm1.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 1 (exp.f64 (exp.f64 im))) (+.f64 1 (expm1.f64 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (sinh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 im) 1 (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 im) 1 (.f64 (neg.f64 (exp.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sinh.f64 im)) 1 (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sinh.f64 im)) 1 (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sinh.f64 im)) 1 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 im) (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 im) (.f64 (neg.f64 (exp.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 2 (sinh.f64 im)) (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 2 (sinh.f64 im)) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 2 (sinh.f64 im)) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (exp.f64 im)) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 im)) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 im)) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (.f64 (neg.f64 (exp.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (cbrt.f64 (exp.f64 im)) (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (cbrt.f64 (exp.f64 im)) (.f64 (neg.f64 (exp.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (neg.f64 (cbrt.f64 (exp.f64 im))) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2) (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2) (cbrt.f64 (.f64 2 (sinh.f64 im))) (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 im))) 2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 2 (sinh.f64 im))) (sqrt.f64 (.f64 2 (sinh.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))) (.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (.f64 3 im)) (exp.f64 (.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 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Outputs

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im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 im))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 im))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 im)) (neg.f64 (sqrt.f64 (exp.f64 im))) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (sinh.f64 im))) (sqrt.f64 (*.f64 2 (sinh.f64 im))) (*.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (sinh.f64 im))) (sqrt.f64 (*.f64 2 (sinh.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (sinh.f64 im))) (sqrt.f64 (*.f64 2 (sinh.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 3 im)) (exp.f64 (*.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (*.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))) (*.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 3 im)) (exp.f64 (*.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (*.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (exp.f64 (*.f64 3 im)) (exp.f64 (*.f64 3 im))) (/.f64 1 (fma.f64 (exp.f64 im) (*.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2)) (/.f64 1 (*.f64 2 (cosh.f64 im))) (*.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2)) (/.f64 1 (*.f64 2 (cosh.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2)) (/.f64 1 (*.f64 2 (cosh.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (exp.f64 im))) (cbrt.f64 (neg.f64 (exp.f64 im)))) (cbrt.f64 (neg.f64 (exp.f64 im))) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (exp.f64 im))) (sqrt.f64 (neg.f64 (exp.f64 im))) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (exp.f64 im) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (*.f64 2 (sinh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (exp.f64 im)) 1 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (-.f64 (sqrt.f64 (exp.f64 im)) (sqrt.f64 (exp.f64 im))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 im)) 2) (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) 2)) (cbrt.f64 (exp.f64 im)) (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 im))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re))) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 1/2 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (cos.f64 re)) (neg.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (exp.f64 (*.f64 3 im)) (exp.f64 (*.f64 3 im))) (*.f64 1/2 (cos.f64 re))) (fma.f64 (exp.f64 im) (*.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2)) (*.f64 1/2 (cos.f64 re))) (*.f64 2 (cosh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (*.f64 3 im)) (exp.f64 (*.f64 3 im)))) (fma.f64 (exp.f64 im) (*.f64 2 (cosh.f64 im)) (pow.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (-.f64 (pow.f64 (exp.f64 im) 2) (pow.f64 (exp.f64 im) 2))) (*.f64 2 (cosh.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (cos.f64 re)) (*.f64 2 (sinh.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (sinh.f64 im)) 3) (pow.f64 (*.f64 1/2 (cos.f64 re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (cos.f64 re)) 3) (pow.f64 (*.f64 2 (sinh.f64 im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 im) (*.f64 1/2 (cos.f64 re)) (*.f64 (neg.f64 (exp.f64 im)) (*.f64 1/2 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im) (*.f64 (*.f64 1/2 (cos.f64 re)) (neg.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sinh.f64 im)) (*.f64 1/2 (cos.f64 re)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 re))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 re))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2) (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 re)))))))

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
467×	`sub-neg_binary64`
254×	`associate-l_binary64`
242×	`associate-r_binary64`
229×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	809
1	317	787
2	1069	754
3	4625	754

Stop Event

1×	node limit

Counts

169 → 164

Calls

Call 1

Inputs
(*.f64 -2 im)
(neg.f64 (+.f64 (.f64 1/3 (pow.f64 im 3)) (.f64 2 im)))
(neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (*.f64 2 im))))
(neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (+.f64 (.f64 1/2520 (pow.f64 im 7)) (.f64 2 im)))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(*.f64 1/2 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 re 2) (exp.f64 im))) (.f64 1/2 (exp.f64 (neg.f64 im)))) (+.f64 (.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 2))) (.f64 1/2 (exp.f64 im))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 re 2) (exp.f64 im))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 4))) (.f64 1/2 (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 re 4) (exp.f64 im))) (+.f64 (.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 2))) (.f64 1/2 (exp.f64 im)))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 re 2) (exp.f64 im))) (+.f64 (.f64 1/1440 (.f64 (exp.f64 im) (pow.f64 re 6))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 4))) (.f64 1/2 (exp.f64 (neg.f64 im)))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 re 4) (exp.f64 im))) (+.f64 (.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 2))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/1440 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 6)))))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 -1 (.f64 (cos.f64 re) im))
(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
(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))))))
(neg.f64 (+.f64 (.f64 1/5040 (.f64 (cos.f64 re) (pow.f64 im 7))) (+.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)))))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 re 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 re 4))) (.f64 1/2 (pow.f64 re 2)))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 re 4))) (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/720 (pow.f64 re 6))))

Outputs
(*.f64 -2 im)
(neg.f64 (+.f64 (.f64 1/3 (pow.f64 im 3)) (.f64 2 im)))
(neg.f64 (fma.f64 1/3 (pow.f64 im 3) (*.f64 im 2)))
(-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3)))
(fma.f64 (pow.f64 im 3) -1/3 (*.f64 -2 im))
(neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (*.f64 2 im))))
(neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (*.f64 im 2))))
(-.f64 (.f64 (pow.f64 im 5) -1/60) (fma.f64 1/3 (pow.f64 im 3) (.f64 im 2)))
(fma.f64 (pow.f64 im 5) -1/60 (fma.f64 (pow.f64 im 3) -1/3 (*.f64 -2 im)))
(neg.f64 (+.f64 (.f64 1/60 (pow.f64 im 5)) (+.f64 (.f64 1/3 (pow.f64 im 3)) (+.f64 (.f64 1/2520 (pow.f64 im 7)) (.f64 2 im)))))
(neg.f64 (fma.f64 1/60 (pow.f64 im 5) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 1/2520 (pow.f64 im 7) (*.f64 im 2)))))
(-.f64 (.f64 (pow.f64 im 5) -1/60) (fma.f64 1/3 (pow.f64 im 3) (fma.f64 im 2 (.f64 1/2520 (pow.f64 im 7)))))
(-.f64 (.f64 (pow.f64 im 5) -1/60) (fma.f64 im 2 (fma.f64 1/2520 (pow.f64 im 7) (.f64 1/3 (pow.f64 im 3)))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 1/2 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 1/2)
(-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 re 2) (exp.f64 im))) (.f64 1/2 (exp.f64 (neg.f64 im)))) (+.f64 (.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 2))) (.f64 1/2 (exp.f64 im))))
(-.f64 (fma.f64 1/4 (.f64 (exp.f64 im) (.f64 re re)) (.f64 (exp.f64 (neg.f64 im)) 1/2)) (fma.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (.f64 re re)) (.f64 (exp.f64 im) 1/2)))
(-.f64 (fma.f64 1/4 (.f64 (exp.f64 im) (.f64 re re)) (/.f64 1/2 (exp.f64 im))) (fma.f64 (exp.f64 im) 1/2 (.f64 (.f64 re re) (/.f64 1/4 (exp.f64 im)))))
(+.f64 (/.f64 1/2 (exp.f64 im)) (+.f64 (.f64 (.f64 1/4 (.f64 re re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (exp.f64 im) -1/2)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 re 2) (exp.f64 im))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 4))) (.f64 1/2 (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 re 4) (exp.f64 im))) (+.f64 (.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 2))) (.f64 1/2 (exp.f64 im)))))
(-.f64 (fma.f64 1/4 (.f64 (exp.f64 im) (.f64 re re)) (fma.f64 1/48 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 4)) (.f64 (exp.f64 (neg.f64 im)) 1/2))) (fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (.f64 re re)) (.f64 (exp.f64 im) 1/2))))
(-.f64 (fma.f64 1/4 (.f64 (exp.f64 im) (.f64 re re)) (fma.f64 (/.f64 1/48 (exp.f64 im)) (pow.f64 re 4) (/.f64 1/2 (exp.f64 im)))) (fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 (exp.f64 im) 1/2 (.f64 (*.f64 re re) (/.f64 1/4 (exp.f64 im))))))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (+.f64 (.f64 1/48 (pow.f64 re 4)) 1/2)) (-.f64 (.f64 (.f64 1/4 (.f64 re re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (exp.f64 im) (+.f64 (*.f64 1/48 (pow.f64 re 4)) 1/2))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 re 2) (exp.f64 im))) (+.f64 (.f64 1/1440 (.f64 (exp.f64 im) (pow.f64 re 6))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 4))) (.f64 1/2 (exp.f64 (neg.f64 im)))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 re 4) (exp.f64 im))) (+.f64 (.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 2))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/1440 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 6)))))))
(-.f64 (fma.f64 1/4 (.f64 (exp.f64 im) (.f64 re re)) (fma.f64 1/1440 (.f64 (exp.f64 im) (pow.f64 re 6)) (fma.f64 1/48 (.f64 (exp.f64 (neg.f64 im)) (pow.f64 re 4)) (.f64 (exp.f64 (neg.f64 im)) 1/2)))) (fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 1/4 (.f64 (exp.f64 (neg.f64 im)) (.f64 re re)) (fma.f64 1/2 (exp.f64 im) (.f64 (.f64 1/1440 (exp.f64 (neg.f64 im))) (pow.f64 re 6))))))
(-.f64 (fma.f64 1/4 (.f64 (exp.f64 im) (.f64 re re)) (fma.f64 1/1440 (.f64 (exp.f64 im) (pow.f64 re 6)) (fma.f64 (/.f64 1/48 (exp.f64 im)) (pow.f64 re 4) (/.f64 1/2 (exp.f64 im))))) (fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 (/.f64 1/4 (exp.f64 im)) (.f64 re re) (fma.f64 (exp.f64 im) 1/2 (.f64 (pow.f64 re 6) (/.f64 1/1440 (exp.f64 im)))))))
(+.f64 (fma.f64 (exp.f64 im) (.f64 1/1440 (pow.f64 re 6)) (.f64 (exp.f64 (neg.f64 im)) (+.f64 (.f64 1/48 (pow.f64 re 4)) 1/2))) (-.f64 (.f64 (.f64 1/4 (.f64 re re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (.f64 1/1440 (/.f64 (pow.f64 re 6) (exp.f64 im))) (.f64 (exp.f64 im) (+.f64 (*.f64 1/48 (pow.f64 re 4)) 1/2)))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 -1 (.f64 (cos.f64 re) im))
(neg.f64 (*.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 (+.f64 (.f64 (cos.f64 re) im) (.f64 1/6 (*.f64 (cos.f64 re) (pow.f64 im 3)))))
(neg.f64 (fma.f64 (cos.f64 re) im (.f64 (.f64 1/6 (cos.f64 re)) (pow.f64 im 3))))
(-.f64 (.f64 (.f64 (pow.f64 im 3) (cos.f64 re)) -1/6) (*.f64 im (cos.f64 re)))
(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
(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))))))
(neg.f64 (fma.f64 (cos.f64 re) im (fma.f64 1/6 (.f64 (pow.f64 im 3) (cos.f64 re)) (.f64 1/120 (*.f64 (pow.f64 im 5) (cos.f64 re))))))
(neg.f64 (fma.f64 im (cos.f64 re) (fma.f64 1/6 (.f64 (pow.f64 im 3) (cos.f64 re)) (.f64 (cos.f64 re) (*.f64 (pow.f64 im 5) 1/120)))))
(-.f64 (.f64 (.f64 (pow.f64 im 5) (cos.f64 re)) -1/120) (.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 3) 1/6))))
(neg.f64 (+.f64 (.f64 1/5040 (.f64 (cos.f64 re) (pow.f64 im 7))) (+.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)))))))
(neg.f64 (fma.f64 1/5040 (.f64 (pow.f64 im 7) (cos.f64 re)) (fma.f64 (cos.f64 re) im (fma.f64 1/6 (.f64 (pow.f64 im 3) (cos.f64 re)) (.f64 1/120 (.f64 (pow.f64 im 5) (cos.f64 re)))))))
(-.f64 (.f64 (.f64 (pow.f64 im 7) (cos.f64 re)) -1/5040) (fma.f64 im (cos.f64 re) (fma.f64 1/6 (.f64 (pow.f64 im 3) (cos.f64 re)) (.f64 (cos.f64 re) (*.f64 (pow.f64 im 5) 1/120)))))
(-.f64 (neg.f64 (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (cos.f64 re) (+.f64 im (*.f64 (pow.f64 im 7) 1/5040))))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (*.f64 -1 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
1
(-.f64 1 (*.f64 1/2 (pow.f64 re 2)))
(+.f64 1 (.f64 -1/2 (.f64 re re)))
(+.f64 1 (.f64 (.f64 re re) -1/2))
(fma.f64 (*.f64 re re) -1/2 1)
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 re 4))) (.f64 1/2 (pow.f64 re 2)))
(+.f64 1 (-.f64 (.f64 (pow.f64 re 4) 1/24) (.f64 1/2 (*.f64 re re))))
(+.f64 1 (fma.f64 (pow.f64 re 4) 1/24 (.f64 (.f64 re re) -1/2)))
(fma.f64 (*.f64 re re) -1/2 (fma.f64 (pow.f64 re 4) 1/24 1))
(-.f64 (+.f64 1 (.f64 1/24 (pow.f64 re 4))) (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/720 (pow.f64 re 6))))
(+.f64 1 (-.f64 (.f64 (pow.f64 re 4) 1/24) (fma.f64 1/2 (.f64 re re) (*.f64 (pow.f64 re 6) 1/720))))
(-.f64 (fma.f64 (pow.f64 re 4) 1/24 1) (fma.f64 1/2 (.f64 re re) (.f64 (pow.f64 re 6) 1/720)))
(+.f64 1 (fma.f64 (pow.f64 re 4) 1/24 (fma.f64 (.f64 re re) -1/2 (.f64 (pow.f64 re 6) -1/720))))
(+.f64 (fma.f64 (.f64 re re) -1/2 (fma.f64 (pow.f64 re 4) 1/24 1)) (.f64 (pow.f64 re 6) -1/720))

prune83.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	164	2	166

Error

0.1b

Counts

166 → 2

Alt Table

Status	Error	Program
▶	0.7b	(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))))))
	59.3b	(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (cos.f64 re)) 2)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Status

Error

Program

▶

0.7b

(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))))))

59.3b

(*.f64 (*.f64 1/2 (pow.f64 (sqrt.f64 (cos.f64 re)) 2)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 3089 to 1742 computations (43.6% saved)

localize15.0ms (0.2%)

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)))

series16.0ms (0.2%)

Counts

4 → 16

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	re	@	-inf	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
1.0ms	re	@	0	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
1.0ms	re	@	inf	(.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5)))
1.0ms	re	@	inf	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
1.0ms	re	@	0	(.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`log-prod_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`
217×	`log-pow_binary64`
150×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	318	39
2	3529	39

Stop Event

1×	node limit

Counts

4 → 68

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 1/6 (cos.f64 re))) im) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 1/6 (cos.f64 re))) (pow.f64 im 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 re) (pow.f64 im 3)) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 re) im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 re) im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 re) im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 re) im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 re) im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 re) im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 im 3) (pow.f64 (cos.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cos.f64 re) im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)))) (cbrt.f64 (exp.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 (cos.f64 re) 1/120)) (pow.f64 im 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 im 5) (.f64 (cos.f64 re) 1/120))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 re) (pow.f64 im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 re) (pow.f64 im 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 re) (pow.f64 im 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 re) (pow.f64 im 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 im (cbrt.f64 (cos.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (cos.f64 re)) (pow.f64 im 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 re) (pow.f64 im 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 im 3)) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 re) (pow.f64 im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (pow.f64 im 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 (pow.f64 im 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 im 3) 3) (pow.f64 (cos.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 im) (log.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 im) (log.f64 (cos.f64 re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 re) (pow.f64 im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (pow.f64 im 3))))))))

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

496×	`associate-l_binary64`
486×	`associate-r_binary64`
426×	`fma-def_binary64`
352×	`unswap-sqr_binary64`
346×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	394
1	208	347
2	816	291
3	4263	291

Stop Event

1×	node limit

Counts

84 → 96

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 im 3))
(-.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/12 (*.f64 (pow.f64 re 2) (pow.f64 im 3))))
(-.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (.f64 1/6 (pow.f64 im 3))) (.f64 1/12 (*.f64 (pow.f64 re 2) (pow.f64 im 3))))
(-.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (.f64 1/6 (pow.f64 im 3))) (+.f64 (.f64 1/4320 (.f64 (pow.f64 re 6) (pow.f64 im 3))) (.f64 1/12 (*.f64 (pow.f64 re 2) (pow.f64 im 3)))))
im
(-.f64 im (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) im)) (.f64 1/720 (.f64 (pow.f64 re 6) im))))
(*.f64 1/120 (pow.f64 im 5))
(-.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 1/240 (*.f64 (pow.f64 re 2) (pow.f64 im 5))))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 1/2880 (.f64 (pow.f64 re 4) (pow.f64 im 5)))) (.f64 1/240 (*.f64 (pow.f64 re 2) (pow.f64 im 5))))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 1/2880 (.f64 (pow.f64 re 4) (pow.f64 im 5)))) (+.f64 (.f64 1/86400 (.f64 (pow.f64 re 6) (pow.f64 im 5))) (.f64 1/240 (*.f64 (pow.f64 re 2) (pow.f64 im 5)))))
(pow.f64 im 3)
(-.f64 (pow.f64 im 3) (.f64 1/2 (.f64 (pow.f64 re 2) (pow.f64 im 3))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (pow.f64 im 3)) (.f64 1/2 (.f64 (pow.f64 re 2) (pow.f64 im 3))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (pow.f64 im 3)) (+.f64 (.f64 1/720 (.f64 (pow.f64 re 6) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) (pow.f64 im 3)))))

Outputs
(*.f64 1/6 (pow.f64 im 3))
(-.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/12 (*.f64 (pow.f64 re 2) (pow.f64 im 3))))
(+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 -1/12 (.f64 (pow.f64 im 3) (.f64 re re))))
(.f64 (pow.f64 im 3) (-.f64 1/6 (.f64 1/12 (*.f64 re re))))
(.f64 (pow.f64 im 3) (+.f64 (.f64 (*.f64 re re) -1/12) 1/6))
(-.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (.f64 1/6 (pow.f64 im 3))) (.f64 1/12 (*.f64 (pow.f64 re 2) (pow.f64 im 3))))
(+.f64 (fma.f64 1/144 (.f64 (pow.f64 im 3) (pow.f64 re 4)) (.f64 1/6 (pow.f64 im 3))) (.f64 -1/12 (.f64 (pow.f64 im 3) (*.f64 re re))))
(fma.f64 1/144 (.f64 (pow.f64 im 3) (pow.f64 re 4)) (.f64 (pow.f64 im 3) (-.f64 1/6 (.f64 1/12 (.f64 re re)))))
(.f64 (pow.f64 im 3) (-.f64 (fma.f64 1/144 (pow.f64 re 4) 1/6) (.f64 1/12 (*.f64 re re))))
(.f64 (pow.f64 im 3) (+.f64 (fma.f64 1/144 (pow.f64 re 4) 1/6) (.f64 (*.f64 re re) -1/12)))
(-.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (.f64 1/6 (pow.f64 im 3))) (+.f64 (.f64 1/4320 (.f64 (pow.f64 re 6) (pow.f64 im 3))) (.f64 1/12 (*.f64 (pow.f64 re 2) (pow.f64 im 3)))))
(-.f64 (fma.f64 1/144 (.f64 (pow.f64 im 3) (pow.f64 re 4)) (.f64 1/6 (pow.f64 im 3))) (fma.f64 1/4320 (.f64 (pow.f64 im 3) (pow.f64 re 6)) (.f64 (.f64 1/12 (.f64 re re)) (pow.f64 im 3))))
(-.f64 (.f64 (pow.f64 im 3) (+.f64 1/6 (.f64 1/144 (pow.f64 re 4)))) (.f64 (pow.f64 im 3) (+.f64 (.f64 1/12 (.f64 re re)) (.f64 1/4320 (pow.f64 re 6)))))
(.f64 (pow.f64 im 3) (-.f64 (fma.f64 1/144 (pow.f64 re 4) 1/6) (fma.f64 1/12 (.f64 re re) (*.f64 1/4320 (pow.f64 re 6)))))
im
(-.f64 im (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 im (.f64 -1/2 (.f64 im (*.f64 re re))))
(+.f64 im (.f64 (.f64 -1/2 im) (*.f64 re re)))
(fma.f64 (.f64 im (.f64 re re)) -1/2 im)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 (fma.f64 1/24 (.f64 im (pow.f64 re 4)) im) (.f64 -1/2 (.f64 im (.f64 re re))))
(+.f64 (fma.f64 (.f64 (pow.f64 re 4) 1/24) im im) (.f64 (.f64 -1/2 im) (.f64 re re)))
(.f64 im (-.f64 (fma.f64 (pow.f64 re 4) 1/24 1) (.f64 (*.f64 re re) 1/2)))
(.f64 im (+.f64 (fma.f64 (pow.f64 re 4) 1/24 1) (.f64 (*.f64 re re) -1/2)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) im)) (.f64 1/720 (.f64 (pow.f64 re 6) im))))
(-.f64 (fma.f64 1/24 (.f64 im (pow.f64 re 4)) im) (fma.f64 1/2 (.f64 im (.f64 re re)) (.f64 1/720 (*.f64 im (pow.f64 re 6)))))
(-.f64 (fma.f64 (.f64 (pow.f64 re 4) 1/24) im im) (.f64 im (+.f64 (.f64 (.f64 re re) 1/2) (*.f64 (pow.f64 re 6) 1/720))))
(+.f64 im (.f64 im (-.f64 (.f64 (pow.f64 re 4) 1/24) (fma.f64 (.f64 re re) 1/2 (.f64 (pow.f64 re 6) 1/720)))))
(*.f64 1/120 (pow.f64 im 5))
(-.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 1/240 (*.f64 (pow.f64 re 2) (pow.f64 im 5))))
(-.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 (.f64 1/240 (.f64 re re)) (pow.f64 im 5)))
(.f64 (pow.f64 im 5) (-.f64 1/120 (.f64 (*.f64 re re) 1/240)))
(.f64 (pow.f64 im 5) (+.f64 1/120 (.f64 (*.f64 re re) -1/240)))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 1/2880 (.f64 (pow.f64 re 4) (pow.f64 im 5)))) (.f64 1/240 (*.f64 (pow.f64 re 2) (pow.f64 im 5))))
(+.f64 (fma.f64 1/120 (pow.f64 im 5) (.f64 1/2880 (.f64 (pow.f64 re 4) (pow.f64 im 5)))) (.f64 -1/240 (.f64 (*.f64 re re) (pow.f64 im 5))))
(fma.f64 1/120 (pow.f64 im 5) (.f64 (pow.f64 im 5) (-.f64 (.f64 (pow.f64 re 4) 1/2880) (.f64 (.f64 re re) 1/240))))
(.f64 (pow.f64 im 5) (-.f64 (fma.f64 (pow.f64 re 4) 1/2880 1/120) (.f64 re (*.f64 re 1/240))))
(.f64 (pow.f64 im 5) (+.f64 (fma.f64 (pow.f64 re 4) 1/2880 1/120) (.f64 (*.f64 re re) -1/240)))
(-.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 1/2880 (.f64 (pow.f64 re 4) (pow.f64 im 5)))) (+.f64 (.f64 1/86400 (.f64 (pow.f64 re 6) (pow.f64 im 5))) (.f64 1/240 (*.f64 (pow.f64 re 2) (pow.f64 im 5)))))
(-.f64 (fma.f64 1/120 (pow.f64 im 5) (.f64 1/2880 (.f64 (pow.f64 re 4) (pow.f64 im 5)))) (fma.f64 1/86400 (.f64 (pow.f64 re 6) (pow.f64 im 5)) (.f64 (.f64 1/240 (.f64 re re)) (pow.f64 im 5))))
(-.f64 (.f64 (pow.f64 im 5) (+.f64 1/120 (.f64 (pow.f64 re 4) 1/2880))) (.f64 (pow.f64 im 5) (+.f64 (.f64 (.f64 re re) 1/240) (.f64 (pow.f64 re 6) 1/86400))))
(.f64 (pow.f64 im 5) (-.f64 (fma.f64 (pow.f64 re 4) 1/2880 1/120) (fma.f64 (.f64 re re) 1/240 (*.f64 (pow.f64 re 6) 1/86400))))
(pow.f64 im 3)
(-.f64 (pow.f64 im 3) (.f64 1/2 (.f64 (pow.f64 re 2) (pow.f64 im 3))))
(+.f64 (pow.f64 im 3) (.f64 -1/2 (.f64 (pow.f64 im 3) (*.f64 re re))))
(+.f64 (pow.f64 im 3) (.f64 (.f64 (pow.f64 im 3) (*.f64 re re)) -1/2))
(.f64 (+.f64 (.f64 (*.f64 re re) -1/2) 1) (pow.f64 im 3))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (pow.f64 im 3)) (.f64 1/2 (.f64 (pow.f64 re 2) (pow.f64 im 3))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 im 3) (pow.f64 re 4)) (pow.f64 im 3)) (.f64 -1/2 (.f64 (pow.f64 im 3) (.f64 re re))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 re 4) 1/24) 1) (pow.f64 im 3)) (.f64 (.f64 (pow.f64 im 3) (*.f64 re re)) -1/2))
(.f64 (pow.f64 im 3) (-.f64 (fma.f64 (pow.f64 re 4) 1/24 1) (.f64 (*.f64 re re) 1/2)))
(.f64 (pow.f64 im 3) (+.f64 (fma.f64 (pow.f64 re 4) 1/24 1) (.f64 (*.f64 re re) -1/2)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (pow.f64 im 3))) (pow.f64 im 3)) (+.f64 (.f64 1/720 (.f64 (pow.f64 re 6) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) (pow.f64 im 3)))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 im 3) (pow.f64 re 4)) (pow.f64 im 3)) (fma.f64 1/720 (.f64 (pow.f64 im 3) (pow.f64 re 6)) (.f64 (.f64 (pow.f64 im 3) (*.f64 re re)) 1/2)))
(-.f64 (.f64 (+.f64 (.f64 (pow.f64 re 4) 1/24) 1) (pow.f64 im 3)) (.f64 (pow.f64 im 3) (+.f64 (.f64 (pow.f64 re 6) 1/720) (.f64 (.f64 re re) 1/2))))
(+.f64 (pow.f64 im 3) (.f64 (pow.f64 im 3) (-.f64 (.f64 (pow.f64 re 4) 1/24) (fma.f64 (.f64 re re) 1/2 (.f64 (pow.f64 re 6) 1/720)))))

prune98.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Error

0.1b

Counts

98 → 5

Alt Table

Status	Error	Program
✓	0.7b	(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))))))
	40.8b	(neg.f64 (+.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 im 3))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	31.5b	(neg.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) 2) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
▶	2.2b	(neg.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) 3) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	59.3b	(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (cos.f64 re)) 2)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 3054 to 1949 computations (36.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 re) im)
	0.1b	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
✓	0.7b	(cbrt.f64 (*.f64 (cos.f64 re) im))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)

series17.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	re	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)
3.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)
2.0ms	re	@	inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)
2.0ms	re	@	0	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)
1.0ms	im	@	0	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)

rewrite47.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)
(cbrt.f64 (*.f64 (cos.f64 re) im))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 re) im)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 im (cos.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 re) im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 re) im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) (cbrt.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 re)) (*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2) (*.f64 (cbrt.f64 (cos.f64 re)) im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 im) 2) (*.f64 (cbrt.f64 im) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) (sqrt.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 re) im) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 re) im) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 re) (pow.f64 (cbrt.f64 im) 2)) (cbrt.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) (cbrt.f64 (cos.f64 re))) (cbrt.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) (pow.f64 (*.f64 (cos.f64 re) im) 1/6)) (pow.f64 (*.f64 (cos.f64 re) im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 im 3) (pow.f64 (cos.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 im) (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 re) im) 1/6) (pow.f64 (*.f64 (cos.f64 re) im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 re) im) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 re) im))))))))

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-neg_binary64`
356×	`*-commutative_binary64`
330×	`distribute-lft-neg-in_binary64`
329×	`distribute-rgt-neg-in_binary64`
191×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	272
1	124	265
2	409	248
3	1837	244
4	4903	244

Stop Event

1×	node limit

Counts

80 → 72

Calls

Call 1

Inputs
im
(-.f64 im (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) im)) (.f64 1/720 (.f64 (pow.f64 re 6) im))))
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(pow.f64 im 1/3)
(-.f64 (pow.f64 im 1/3) (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 im 1/3))))
(-.f64 (pow.f64 im 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 re 4) (pow.f64 im 1/3))) (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 im 1/3)))))
(-.f64 (pow.f64 im 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 re 4) (pow.f64 im 1/3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 im 1/3))) (.f64 23/6480 (.f64 (pow.f64 re 6) (pow.f64 im 1/3))))))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)

Outputs
im
(-.f64 im (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 im (.f64 -1/2 (.f64 im (*.f64 re re))))
(-.f64 im (.f64 (.f64 re re) (*.f64 im 1/2)))
(fma.f64 (.f64 im -1/2) (.f64 re re) im)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 (fma.f64 1/24 (.f64 im (pow.f64 re 4)) im) (.f64 -1/2 (.f64 im (.f64 re re))))
(fma.f64 1/24 (.f64 im (pow.f64 re 4)) (-.f64 im (.f64 (.f64 re re) (.f64 im 1/2))))
(.f64 im (-.f64 (fma.f64 1/24 (pow.f64 re 4) 1) (.f64 1/2 (*.f64 re re))))
(.f64 im (+.f64 (.f64 re (*.f64 re -1/2)) (fma.f64 1/24 (pow.f64 re 4) 1)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) im)) (.f64 1/720 (.f64 (pow.f64 re 6) im))))
(-.f64 (fma.f64 1/24 (.f64 im (pow.f64 re 4)) im) (fma.f64 1/2 (.f64 im (.f64 re re)) (.f64 1/720 (*.f64 im (pow.f64 re 6)))))
(-.f64 (fma.f64 1/24 (.f64 im (pow.f64 re 4)) im) (.f64 im (+.f64 (.f64 1/2 (.f64 re re)) (*.f64 1/720 (pow.f64 re 6)))))
(+.f64 im (.f64 im (-.f64 (.f64 1/24 (pow.f64 re 4)) (fma.f64 1/2 (.f64 re re) (.f64 1/720 (pow.f64 re 6))))))
(.f64 im (-.f64 (fma.f64 1/24 (pow.f64 re 4) 1) (fma.f64 1/720 (pow.f64 re 6) (.f64 1/2 (*.f64 re re)))))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(pow.f64 im 1/3)
(cbrt.f64 im)
(-.f64 (pow.f64 im 1/3) (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 im 1/3))))
(+.f64 (cbrt.f64 im) (.f64 -1/6 (.f64 (*.f64 re re) (cbrt.f64 im))))
(+.f64 (cbrt.f64 im) (.f64 (.f64 (*.f64 re re) (cbrt.f64 im)) -1/6))
(fma.f64 (.f64 (.f64 re re) -1/6) (cbrt.f64 im) (cbrt.f64 im))
(fma.f64 (.f64 re (.f64 re (cbrt.f64 im))) -1/6 (cbrt.f64 im))
(-.f64 (pow.f64 im 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 re 4) (pow.f64 im 1/3))) (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 im 1/3)))))
(-.f64 (cbrt.f64 im) (fma.f64 1/72 (.f64 (pow.f64 re 4) (cbrt.f64 im)) (.f64 1/6 (.f64 (.f64 re re) (cbrt.f64 im)))))
(-.f64 (cbrt.f64 im) (.f64 (cbrt.f64 im) (+.f64 (.f64 (pow.f64 re 4) 1/72) (.f64 (.f64 re re) 1/6))))
(-.f64 (cbrt.f64 im) (.f64 (cbrt.f64 im) (fma.f64 (.f64 re re) 1/6 (*.f64 (pow.f64 re 4) 1/72))))
(.f64 (cbrt.f64 im) (+.f64 (+.f64 1 (.f64 (pow.f64 re 4) -1/72)) (.f64 re (.f64 re -1/6))))
(-.f64 (pow.f64 im 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 re 4) (pow.f64 im 1/3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 im 1/3))) (.f64 23/6480 (.f64 (pow.f64 re 6) (pow.f64 im 1/3))))))
(-.f64 (cbrt.f64 im) (fma.f64 1/72 (.f64 (pow.f64 re 4) (cbrt.f64 im)) (fma.f64 1/6 (.f64 (.f64 re re) (cbrt.f64 im)) (.f64 23/6480 (*.f64 (pow.f64 re 6) (cbrt.f64 im))))))
(-.f64 (cbrt.f64 im) (fma.f64 1/72 (.f64 (pow.f64 re 4) (cbrt.f64 im)) (.f64 (cbrt.f64 im) (+.f64 (.f64 (.f64 re re) 1/6) (*.f64 (pow.f64 re 6) 23/6480)))))
(-.f64 (cbrt.f64 im) (.f64 (cbrt.f64 im) (+.f64 (fma.f64 (.f64 re re) 1/6 (.f64 (pow.f64 re 4) 1/72)) (.f64 (pow.f64 re 6) 23/6480))))
(.f64 (cbrt.f64 im) (-.f64 (+.f64 1 (.f64 (pow.f64 re 4) -1/72)) (fma.f64 (.f64 re re) 1/6 (.f64 (pow.f64 re 6) 23/6480))))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) im) 1/3)
(cbrt.f64 (*.f64 im (cos.f64 re)))

prune152.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	116	9	125

Error

0.0b

Counts

125 → 9

Alt Table

Status	Error	Program
	59.3b	(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (cos.f64 re)) 2)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
	3.4b	(neg.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 re) im))) 3) 3) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
▶	1.3b	(neg.f64 (+.f64 (.f64 (.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (cbrt.f64 (cos.f64 re))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	30.3b	(neg.f64 (+.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) (cos.f64 re))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	2.2b	(neg.f64 (+.f64 (.f64 (cbrt.f64 (cos.f64 re)) (.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	2.2b	(neg.f64 (+.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) 2)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
✓	0.7b	(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))))))
	31.5b	(neg.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) 2) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	2.3b	(neg.f64 (+.f64 (pow.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 im)) 3) (+.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 4267 to 2674 computations (37.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (cbrt.f64 (cos.f64 re)))
	0.1b	(.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3)))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 re)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 re))

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(cbrt.f64 (cos.f64 re))
1.0ms	re	@	-inf	(cbrt.f64 (cos.f64 re))
1.0ms	re	@	0	(pow.f64 (cbrt.f64 (cos.f64 re)) 2)
1.0ms	re	@	0	(cbrt.f64 (cos.f64 re))
1.0ms	re	@	inf	(pow.f64 (cbrt.f64 (cos.f64 re)) 2)

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	181	19
2	2011	19

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 re))
(pow.f64 (cbrt.f64 (cos.f64 re)) 2)
(.f64 (.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (cbrt.f64 (cos.f64 re)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 re) 1/6) (pow.f64 (cos.f64 re) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 re)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 re)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 re) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 re) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 re)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 re)) (pow.f64 (cos.f64 re) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 re) 1/6) (*.f64 (pow.f64 (cos.f64 re) 1/6) (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 re) im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 re) im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 re) im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 (*.f64 (cos.f64 re) im) 2) im)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 im 3) (pow.f64 (cos.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) im)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) im)))))))

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

663×	`cancel-sign-sub-inv_binary64`
422×	`fma-neg_binary64`
403×	`sub-neg_binary64`
260×	`*-commutative_binary64`
211×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	398
1	154	397
2	432	385
3	1637	383
4	4680	383

Stop Event

1×	node limit

Counts

104 → 79

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 re 2)))
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 2)) (.f64 1/72 (pow.f64 re 4))))
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 2)) (+.f64 (.f64 1/72 (pow.f64 re 4)) (*.f64 23/6480 (pow.f64 re 6)))))
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
(pow.f64 (cos.f64 re) 1/3)
1
(-.f64 1 (*.f64 1/3 (pow.f64 re 2)))
(-.f64 1 (+.f64 (.f64 1/3 (pow.f64 re 2)) (.f64 1/405 (pow.f64 re 6))))
(-.f64 1 (+.f64 (.f64 1/3 (pow.f64 re 2)) (+.f64 (.f64 1/405 (pow.f64 re 6)) (*.f64 1/1701 (pow.f64 re 8)))))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
im
(-.f64 im (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) im)) (.f64 1/720 (.f64 (pow.f64 re 6) im))))
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)

Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 re 2)))
(+.f64 1 (.f64 -1/6 (.f64 re re)))
(+.f64 1 (.f64 (.f64 re re) -1/6))
(fma.f64 (*.f64 re re) -1/6 1)
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 2)) (.f64 1/72 (pow.f64 re 4))))
(-.f64 1 (fma.f64 1/6 (.f64 re re) (.f64 1/72 (pow.f64 re 4))))
(+.f64 1 (fma.f64 re (.f64 re -1/6) (.f64 (pow.f64 re 4) -1/72)))
(-.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 2)) (+.f64 (.f64 1/72 (pow.f64 re 4)) (*.f64 23/6480 (pow.f64 re 6)))))
(-.f64 1 (fma.f64 1/6 (.f64 re re) (fma.f64 1/72 (pow.f64 re 4) (.f64 23/6480 (pow.f64 re 6)))))
(-.f64 1 (fma.f64 1/6 (.f64 re re) (fma.f64 23/6480 (pow.f64 re 6) (.f64 1/72 (pow.f64 re 4)))))
(-.f64 (fma.f64 (.f64 re re) -1/6 1) (fma.f64 1/72 (pow.f64 re 4) (.f64 23/6480 (pow.f64 re 6))))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
(pow.f64 (cos.f64 re) 1/3)
(cbrt.f64 (cos.f64 re))
1
(-.f64 1 (*.f64 1/3 (pow.f64 re 2)))
(+.f64 1 (.f64 -1/3 (.f64 re re)))
(-.f64 1 (.f64 (.f64 re re) 1/3))
(fma.f64 (*.f64 re re) -1/3 1)
(fma.f64 (*.f64 re -1/3) re 1)
(-.f64 1 (+.f64 (.f64 1/3 (pow.f64 re 2)) (.f64 1/405 (pow.f64 re 6))))
(-.f64 1 (fma.f64 1/3 (.f64 re re) (.f64 (pow.f64 re 6) 1/405)))
(-.f64 1 (fma.f64 (.f64 re re) 1/3 (.f64 (pow.f64 re 6) 1/405)))
(-.f64 1 (fma.f64 re (.f64 re 1/3) (.f64 (pow.f64 re 6) 1/405)))
(+.f64 1 (fma.f64 (pow.f64 re 6) -1/405 (.f64 re (.f64 re -1/3))))
(-.f64 1 (+.f64 (.f64 1/3 (pow.f64 re 2)) (+.f64 (.f64 1/405 (pow.f64 re 6)) (*.f64 1/1701 (pow.f64 re 8)))))
(-.f64 1 (fma.f64 1/3 (.f64 re re) (fma.f64 1/405 (pow.f64 re 6) (.f64 1/1701 (pow.f64 re 8)))))
(-.f64 1 (fma.f64 (.f64 re re) 1/3 (fma.f64 1/1701 (pow.f64 re 8) (.f64 (pow.f64 re 6) 1/405))))
(-.f64 1 (fma.f64 re (.f64 re 1/3) (fma.f64 (pow.f64 re 6) 1/405 (.f64 1/1701 (pow.f64 re 8)))))
(+.f64 1 (fma.f64 re (.f64 re -1/3) (fma.f64 (pow.f64 re 6) -1/405 (.f64 (pow.f64 re 8) -1/1701))))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 re) 2))
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
im
(-.f64 im (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 im (.f64 -1/2 (.f64 (*.f64 re re) im)))
(-.f64 im (.f64 (.f64 re re) (*.f64 im 1/2)))
(fma.f64 (.f64 re (.f64 re im)) -1/2 im)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 re 4) im) im) (.f64 -1/2 (.f64 (.f64 re re) im)))
(fma.f64 (.f64 (pow.f64 re 4) 1/24) im (-.f64 im (.f64 (.f64 re re) (.f64 im 1/2))))
(.f64 im (-.f64 (fma.f64 (pow.f64 re 4) 1/24 1) (.f64 re (*.f64 re 1/2))))
(.f64 im (+.f64 (.f64 re (*.f64 re -1/2)) (fma.f64 (pow.f64 re 4) 1/24 1)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) im)) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) im)) (.f64 1/720 (.f64 (pow.f64 re 6) im))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 re 4) im) im) (fma.f64 1/2 (.f64 (.f64 re re) im) (.f64 1/720 (*.f64 (pow.f64 re 6) im))))
(-.f64 (fma.f64 1/24 (.f64 (pow.f64 re 4) im) im) (.f64 im (+.f64 (.f64 (pow.f64 re 6) 1/720) (.f64 (*.f64 re re) 1/2))))
(+.f64 im (.f64 im (-.f64 (.f64 (pow.f64 re 4) 1/24) (fma.f64 (pow.f64 re 6) 1/720 (.f64 re (.f64 re 1/2))))))
(.f64 im (+.f64 (fma.f64 (.f64 re -1/2) re (*.f64 (pow.f64 re 6) -1/720)) (fma.f64 (pow.f64 re 4) 1/24 1)))
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)
(*.f64 (cos.f64 re) im)

prune337.0ms (3.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	132	10	142

Error

0.0b

Counts

142 → 10

Alt Table

Status	Error	Program
	30.3b	(neg.f64 (+.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) (cos.f64 re))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	1.0b	(neg.f64 (+.f64 (.f64 (.f64 im (pow.f64 (pow.f64 (cos.f64 re) 2) 1/3)) (cbrt.f64 (cos.f64 re))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	31.5b	(neg.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) im)) 2) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	1.3b	(neg.f64 (+.f64 (.f64 (.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 re))))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	1.4b	(neg.f64 (+.f64 (.f64 (.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 re))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 re))))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	1.1b	(neg.f64 (+.f64 (.f64 (.f64 im (cbrt.f64 (pow.f64 (cos.f64 re) 2))) (cbrt.f64 (cos.f64 re))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (.f64 (cos.f64 re) (pow.f64 im 5))))))
	2.2b	(neg.f64 (+.f64 (.f64 (cbrt.f64 (cos.f64 re)) (.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
	2.2b	(neg.f64 (+.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) im)) 2)) (+.f64 (.f64 1/6 (.f64 (cos.f64 re) (pow.f64 im 3))) (.f64 1/120 (*.f64 (cos.f64 re) (pow.f64 im 5))))))
✓	0.7b	(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))))))
	59.3b	(.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (cos.f64 re)) 2)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 4812 to 2964 computations (38.4% saved)

regimes207.0ms (2.4%)

Accuracy

Total 0.5b remaining (69.5%)

Threshold costs 0.5b (69.5%)

Counts

59 → 1

Compiler

Compiled 1372 to 847 computations (38.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
13×	`+-commutative_binary64`
11×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	32	36
2	50	34
3	80	34
4	104	34
5	116	34
6	122	34
7	124	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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))))))

Outputs

(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))))))

(-.f64 (*.f64 (cos.f64 re) (neg.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)))))

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

end239.0ms (2.7%)

Stop Event

1×

fuel

Compiler

Compiled 355 to 240 computations (32.4% saved)

Details

analyze531.0ms (6.1%)

sample6.5s (73.8%)

preprocess42.0ms (0.5%)

simplify22.0ms (0.3%)

prune10.0ms (0.1%)

localize8.0ms (0.1%)

series9.0ms (0.1%)

rewrite55.0ms (0.6%)

simplify43.0ms (0.5%)

prune83.0ms (0.9%)

localize15.0ms (0.2%)

series16.0ms (0.2%)

rewrite58.0ms (0.7%)

simplify35.0ms (0.4%)

prune98.0ms (1.1%)

localize18.0ms (0.2%)

series17.0ms (0.2%)

rewrite47.0ms (0.5%)

simplify37.0ms (0.4%)

prune152.0ms (1.7%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

rewrite38.0ms (0.4%)

simplify147.0ms (1.7%)

prune337.0ms (3.8%)

regimes207.0ms (2.4%)

simplify3.0ms (0%)

end239.0ms (2.7%)

Profiling