Details

analyze364.0ms (3.5%)

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample5.1s (48.8%)

Results

1.8s	2051×	body	1024	valid
1.2s	2023×	body	1024	invalid
1.0s	5208×	body	256	valid
377.0ms	1486×	body	256	invalid
360.0ms	985×	body	512	invalid
329.0ms	993×	body	512	valid
5.0ms	4×	body	2048	valid

preprocess117.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

748×	`times-frac_binary64`
628×	`fma-def_binary64`
384×	`sqr-pow_binary64`
320×	`unswap-sqr_binary64`
302×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	49	36
2	131	36
3	255	34
4	372	34
5	669	34
6	1531	34
7	2660	34
8	3812	34
9	4558	34
10	5152	34
11	6060	34
12	7567	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 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 1/2 (cos.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
530×	`associate-/l*_binary64`
430×	`unswap-sqr_binary64`
374×	`times-frac_binary64`
340×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	70	18
3	132	17
4	192	17
5	346	17
6	780	17
7	1351	17
8	3967	17
9	4490	17
10	5461	17
11	6024	17
12	7058	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs

(*.f64 (*.f64 1/2 (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 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

eval1.0ms (0%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
✓	0.0b	(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
✓	0.0b	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 32 to 16 computations (50% saved)

series10.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
1.0ms	re	@	inf	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
1.0ms	im	@	inf	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
1.0ms	im	@	inf	(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
1.0ms	im	@	-inf	(/.f64 1/2 (exp.f64 im))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

873×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	182	35
2	2171	35

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(/.f64 1/2 (exp.f64 im))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

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

Outputs

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

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

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

599×	`distribute-rgt-out_binary64`
521×	`fma-def_binary64`
433×	`distribute-lft-out_binary64`
389×	`associate-/l*_binary64`
365×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	725
1	232	690
2	769	643
3	3271	625
4	5707	625

Stop Event

1×	node limit

Counts

97 → 88

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 im))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (.f64 -1/2 im)))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (+.f64 (.f64 -1/2 im) (*.f64 -1/12 (pow.f64 im 3)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 im))
(fma.f64 -1/2 im 1/2)
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (.f64 -1/2 im)))
(+.f64 1/2 (fma.f64 1/4 (.f64 im im) (.f64 -1/2 im)))
(+.f64 1/2 (fma.f64 -1/2 im (.f64 im (.f64 im 1/4))))
(fma.f64 -1/2 im (fma.f64 im (*.f64 im 1/4) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (+.f64 (.f64 -1/2 im) (*.f64 -1/12 (pow.f64 im 3)))))
(+.f64 1/2 (fma.f64 1/4 (.f64 im im) (fma.f64 -1/2 im (.f64 -1/12 (pow.f64 im 3)))))
(+.f64 1/2 (fma.f64 -1/2 im (.f64 (.f64 im im) (+.f64 1/4 (*.f64 im -1/12)))))
(+.f64 1/2 (.f64 im (+.f64 -1/2 (.f64 im (+.f64 1/4 (*.f64 im -1/12))))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 1/2 (.f64 im im)))
(fma.f64 1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 im 4) (fma.f64 1/2 (.f64 im im) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (+.f64 (.f64 -1/2 (*.f64 re re)) 1) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/2 (.f64 re re) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/24 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (.f64 re re)) (.f64 1/24 (pow.f64 re 4)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (*.f64 re re)) (fma.f64 1/24 (pow.f64 re 4) 1)))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 1/24 (pow.f64 re 4)) (fma.f64 -1/2 (*.f64 re re) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/24 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (/.f64 1/2 (exp.f64 im))))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (/.f64 1/2 (exp.f64 im)))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (.f64 re re)) (*.f64 1/24 (pow.f64 re 4)))))
(fma.f64 (.f64 (.f64 re re) -1/4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (fma.f64 1/24 (pow.f64 re 4) 1) (.f64 -1/720 (pow.f64 re 6)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (+.f64 1 (.f64 -1/720 (pow.f64 re 6))) (fma.f64 -1/2 (.f64 re re) (.f64 1/24 (pow.f64 re 4)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (.f64 (.f64 1/24 (cos.f64 re)) (pow.f64 im 4)))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (cos.f64 re)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 1/720 (*.f64 (pow.f64 im 6) (cos.f64 re)))))
(+.f64 (fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 1/720 (*.f64 (pow.f64 im 6) (cos.f64 re)))))
(+.f64 (.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re)) (.f64 (cos.f64 re) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/24 (pow.f64 im 4) (fma.f64 1/2 (.f64 im im) (*.f64 1/720 (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 35 to 13 computations (62.9% saved)

series12.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	im	@	0	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	re	@	0	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	re	@	inf	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	re	@	-inf	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	im	@	inf	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite119.0ms (1.1%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

121×	`add-sqr-sqrt_binary64`
121×	`add-sqr-sqrt_binary64`
116×	`*-un-lft-identity_binary64`
116×	`pow1_binary64`
116×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	233	28
2	3780	28
0	11	18
1	233	18
2	3780	18
0	11	18
0	6	10
1	126	10
2	2082	10
0	6	10

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 19

Calls

Call 1

Inputs
(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

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

Outputs

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

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

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-+l+_binary64`
610×	`distribute-rgt-out_binary64`
516×	`distribute-lft-out_binary64`
414×	`associate-+r+_binary64`
344×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	669
1	190	606
2	603	570
3	2278	565
4	4985	563
5	7179	563

Stop Event

1×	node limit

Counts

55 → 46

Calls

Call 1

Inputs
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (.f64 -1/1440 (.f64 (pow.f64 re 6) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
2
(+.f64 2 (pow.f64 im 2))
(+.f64 2 (+.f64 (pow.f64 im 2) (*.f64 1/12 (pow.f64 im 4))))
(+.f64 2 (+.f64 (pow.f64 im 2) (+.f64 (.f64 1/12 (pow.f64 im 4)) (.f64 1/360 (pow.f64 im 6)))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))

Outputs
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re re))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 -1/4 (*.f64 re re)) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 re re) 1/2))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 -1/4 re) re 1/2))
(+.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 (.f64 1/48 (pow.f64 re 4)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 -1/4 (.f64 re re)) (.f64 1/48 (pow.f64 re 4)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (fma.f64 1/48 (pow.f64 re 4) (.f64 -1/4 (*.f64 re re)))))
(+.f64 (.f64 -1/1440 (.f64 (pow.f64 re 6) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 (*.f64 1/48 (pow.f64 re 4)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 -1/4 (.f64 re re)) (.f64 1/48 (pow.f64 re 4)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 -1/1440 (pow.f64 re 6)) 1/2)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (fma.f64 -1/1440 (pow.f64 re 6) 1/2) (fma.f64 1/48 (pow.f64 re 4) (.f64 -1/4 (*.f64 re re)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (fma.f64 1/48 (pow.f64 re 4) (.f64 -1/4 (*.f64 re re))) (fma.f64 -1/1440 (pow.f64 re 6) 1/2)))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (*.f64 im im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (fma.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re)) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 1/720 (*.f64 (cos.f64 re) (pow.f64 im 6)))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re)) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 (cos.f64 re) (*.f64 (pow.f64 im 6) 1/720))))
(+.f64 (fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re)) (.f64 (cos.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 (.f64 1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4))))))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/2 (.f64 im im))) (+.f64 (.f64 1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
2
(+.f64 2 (pow.f64 im 2))
(+.f64 2 (*.f64 im im))
(fma.f64 im im 2)
(+.f64 2 (+.f64 (pow.f64 im 2) (*.f64 1/12 (pow.f64 im 4))))
(+.f64 2 (+.f64 (.f64 im im) (.f64 (pow.f64 im 4) 1/12)))
(+.f64 2 (fma.f64 (pow.f64 im 4) 1/12 (*.f64 im im)))
(fma.f64 (pow.f64 im 4) 1/12 (fma.f64 im im 2))
(+.f64 2 (+.f64 (pow.f64 im 2) (+.f64 (.f64 1/12 (pow.f64 im 4)) (.f64 1/360 (pow.f64 im 6)))))
(+.f64 2 (+.f64 (.f64 im im) (fma.f64 1/12 (pow.f64 im 4) (.f64 (pow.f64 im 6) 1/360))))
(+.f64 2 (fma.f64 im im (fma.f64 (pow.f64 im 4) 1/12 (*.f64 (pow.f64 im 6) 1/360))))
(+.f64 2 (fma.f64 (pow.f64 im 4) 1/12 (fma.f64 (pow.f64 im 6) 1/360 (*.f64 im im))))
(+.f64 (fma.f64 im im 2) (fma.f64 (pow.f64 im 6) 1/360 (*.f64 (pow.f64 im 4) 1/12)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

eval61.0ms (0.6%)

Compiler: Compiled 2216 to 1191 computations (46.3% saved)

prune28.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	125	9	134
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	126	10	136

Error

Counts

136 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3))))
▶	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))
▶	0.4b	(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
▶	30.1b	(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶	0.9b	(cos.f64 re)
	0.6b	(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (*.f64 im im))))
	1.5b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) 1/2))
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	0.0b	(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
	0.5b	(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))

Compiler

Compiled 269 to 200 computations (25.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re))
✓	0.0b	(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
✓	0.0b	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
	0.0b	(/.f64 1/2 (exp.f64 im))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	re	@	0	(.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re))
1.0ms	re	@	inf	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
1.0ms	im	@	0	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
1.0ms	re	@	-inf	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
1.0ms	im	@	inf	(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
448×	`fma-def_binary64`
415×	`pow-prod-down_binary64`
316×	`pow2_binary64`
223×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	239	39
2	3248	36

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs
(*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re))
(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
(.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re))

Outputs

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fma.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) (*.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) (cos.f64 re)) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (exp.f64 im))) (*.f64 (sqrt.f64 (*.f64 1/2 (exp.f64 im))) (cos.f64 re)) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re)))) (sqrt.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re)))) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) (/.f64 1/2 (exp.f64 im))) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 1/2 (exp.f64 im))) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (exp.f64 im) (cos.f64 re)) 1/2 (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (cbrt.f64 (exp.f64 (+.f64 im im)))) (/.f64 (cos.f64 re) (cbrt.f64 (exp.f64 im))) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 (exp.f64 im))) (/.f64 (cos.f64 re) (sqrt.f64 (exp.f64 im))) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (cbrt.f64 (cos.f64 re)) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 re) (cbrt.f64 (/.f64 1/4 (exp.f64 (+.f64 im im))))) (cbrt.f64 (/.f64 1/2 (exp.f64 im))) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 re) (sqrt.f64 (/.f64 1/2 (exp.f64 im)))) (sqrt.f64 (/.f64 1/2 (exp.f64 im))) (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 re) (cbrt.f64 (*.f64 1/4 (exp.f64 (+.f64 im im))))) (cbrt.f64 (*.f64 1/2 (exp.f64 im))) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 re) (sqrt.f64 (*.f64 1/2 (exp.f64 im)))) (sqrt.f64 (*.f64 1/2 (exp.f64 im))) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 (exp.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 re)) 2)) (cbrt.f64 (cos.f64 re)) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 (exp.f64 im)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (/.f64 (cos.f64 re) (*.f64 (exp.f64 im) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 im))) (cos.f64 re))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 im))) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 im))) (cos.f64 re)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 im))) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 im))) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (exp.f64 im) (cos.f64 re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 im (log.f64 (*.f64 1/2 (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 im (log.f64 (*.f64 1/2 (cos.f64 re)))) 1))))))

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-out_binary64`
409×	`fma-neg_binary64`
365×	`unsub-neg_binary64`
341×	`associate-+l+_binary64`
305×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1320
1	375	1235
2	1128	1179
3	3831	1099

Stop Event

1×	node limit

Counts

198 → 172

Calls

Call 1

Inputs
(*.f64 1/2 (cos.f64 re))
(+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (*.f64 (cos.f64 re) im)))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re))) (pow.f64 im 2))) (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (*.f64 (cos.f64 re) im))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re)))) (+.f64 (.f64 -1/2 (cos.f64 re)) (.f64 1/6 (cos.f64 re)))) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re))) (pow.f64 im 2))) (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (.f64 (cos.f64 re) im)))))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(/.f64 1/2 (exp.f64 im))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 2) (exp.f64 im))) (.f64 1/2 (/.f64 1 (exp.f64 im))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 2) (exp.f64 im))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 re 4) (exp.f64 im))) (*.f64 1/2 (/.f64 1 (exp.f64 im)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 2) (exp.f64 im))) (+.f64 (.f64 1/48 (/.f64 (pow.f64 re 4) (exp.f64 im))) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 -1/1440 (/.f64 (pow.f64 re 6) (exp.f64 im))))))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im)))
(cos.f64 re)
(+.f64 (cos.f64 re) (.f64 (+.f64 (.f64 1/2 (cos.f64 re)) (*.f64 -1/2 (cos.f64 re))) im))
(+.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (cos.f64 re))) im) (.f64 (+.f64 (.f64 1/4 (cos.f64 re)) (.f64 -1/2 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re))))) (pow.f64 im 2))))
(+.f64 (cos.f64 re) (+.f64 (.f64 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (cos.f64 re))) im) (+.f64 (.f64 (+.f64 (.f64 1/4 (cos.f64 re)) (.f64 -1/2 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re))))) (pow.f64 im 2)) (.f64 (+.f64 (.f64 1/12 (cos.f64 re)) (.f64 -1/2 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re)))) (+.f64 (.f64 -1/2 (cos.f64 re)) (.f64 1/6 (cos.f64 re)))))) (pow.f64 im 3)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im))) (*.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 (-.f64 (.f64 -1/4 (exp.f64 im)) (*.f64 1/4 (/.f64 1 (exp.f64 im)))) (pow.f64 re 2))))
(+.f64 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (exp.f64 im))) (.f64 1/48 (exp.f64 im))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 (-.f64 (.f64 -1/4 (exp.f64 im)) (.f64 1/4 (/.f64 1 (exp.f64 im)))) (pow.f64 re 2)))))
(+.f64 (.f64 (+.f64 (.f64 1/48 (/.f64 1 (exp.f64 im))) (.f64 1/48 (exp.f64 im))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 (-.f64 (.f64 -1/1440 (exp.f64 im)) (.f64 1/1440 (/.f64 1 (exp.f64 im)))) (pow.f64 re 6)) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 (-.f64 (.f64 -1/4 (exp.f64 im)) (*.f64 1/4 (/.f64 1 (exp.f64 im)))) (pow.f64 re 2))))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(*.f64 1/2 (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) im)) (*.f64 1/2 (cos.f64 re)))
(+.f64 (.f64 1/4 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 re) im)) (*.f64 1/2 (cos.f64 re))))
(+.f64 (.f64 1/4 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/12 (.f64 (cos.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 re) im)) (*.f64 1/2 (cos.f64 re)))))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(*.f64 1/2 (exp.f64 im))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 -1/4 (*.f64 (exp.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 -1/4 (*.f64 (exp.f64 im) (pow.f64 re 2)))))
(+.f64 (.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/4 (.f64 (exp.f64 im) (pow.f64 re 2))) (.f64 -1/1440 (*.f64 (exp.f64 im) (pow.f64 re 6))))))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))

Outputs
(*.f64 1/2 (cos.f64 re))
(+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (*.f64 (cos.f64 re) im)))
(fma.f64 1/2 (cos.f64 re) (.f64 -1/2 (.f64 (cos.f64 re) im)))
(fma.f64 1/2 (cos.f64 re) (.f64 (cos.f64 re) (.f64 im -1/2)))
(.f64 (.f64 (cos.f64 re) -1/2) (+.f64 -1 im))
(.f64 (cos.f64 re) (-.f64 (.f64 -1/2 im) -1/2))
(+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1 (cos.f64 re))) (pow.f64 im 2))) (+.f64 (.f64 1/2 (cos.f64 re)) (.f64 -1/2 (*.f64 (cos.f64 re) im))))
(fma.f64 -1/2 (.f64 (.f64 (cos.f64 re) -1/2) (.f64 im im)) (fma.f64 1/2 (cos.f64 re) (.f64 -1/2 (*.f64 (cos.f64 re) im))))
(fma.f64 (.f64 (cos.f64 re) 1/4) (.f64 im im) (fma.f64 1/2 (cos.f64 re) (.f64 (cos.f64 re) (.f64 im -1/2))))
(fma.f64 (.f64 (cos.f64 re) 1/4) (.f64 im im) (.f64 (.f64 (cos.f64 re) -1/2) (+.f64 -1 im)))
(.f64 (cos.f64 re) (-.f64 (.f64 im (+.f64 -1/2 (*.f64 1/4 im))) -1/2))
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(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 1/2 (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 1/2 (*.f64 (exp.f64 im) (cos.f64 re))))
(.f64 1/2 (+.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (cos.f64 re) (exp.f64 im))))
(*.f64 1/2 (fma.f64 (cos.f64 re) (exp.f64 im) (/.f64 (cos.f64 re) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(*.f64 1/2 (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) im)) (*.f64 1/2 (cos.f64 re)))
(.f64 1/2 (+.f64 (.f64 (cos.f64 re) im) (cos.f64 re)))
(.f64 1/2 (.f64 (+.f64 im 1) (cos.f64 re)))
(*.f64 1/2 (fma.f64 (cos.f64 re) im (cos.f64 re)))
(.f64 (cos.f64 re) (+.f64 1/2 (.f64 1/2 im)))
(+.f64 (.f64 1/4 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/2 (.f64 (cos.f64 re) im)) (*.f64 1/2 (cos.f64 re))))
(fma.f64 1/4 (.f64 (cos.f64 re) (.f64 im im)) (.f64 1/2 (+.f64 (.f64 (cos.f64 re) im) (cos.f64 re))))
(fma.f64 1/2 (.f64 (+.f64 im 1) (cos.f64 re)) (.f64 (cos.f64 re) (.f64 1/4 (.f64 im im))))
(fma.f64 1/2 (fma.f64 (cos.f64 re) im (cos.f64 re)) (.f64 im (.f64 (*.f64 (cos.f64 re) im) 1/4)))
(.f64 (cos.f64 re) (-.f64 (.f64 im (+.f64 (*.f64 1/4 im) 1/2)) -1/2))
(+.f64 (.f64 1/4 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/12 (.f64 (cos.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 re) im)) (*.f64 1/2 (cos.f64 re)))))
(fma.f64 1/4 (.f64 (cos.f64 re) (.f64 im im)) (fma.f64 1/12 (.f64 (cos.f64 re) (pow.f64 im 3)) (.f64 1/2 (+.f64 (*.f64 (cos.f64 re) im) (cos.f64 re)))))
(fma.f64 1/4 (.f64 (cos.f64 re) (.f64 im im)) (fma.f64 1/2 (.f64 (+.f64 im 1) (cos.f64 re)) (.f64 (cos.f64 re) (*.f64 1/12 (pow.f64 im 3)))))
(+.f64 (.f64 1/2 (fma.f64 (cos.f64 re) im (cos.f64 re))) (.f64 (cos.f64 re) (+.f64 (.f64 im (.f64 im 1/4)) (*.f64 (pow.f64 im 3) 1/12))))
(+.f64 (.f64 (cos.f64 re) (-.f64 (.f64 im (+.f64 (.f64 1/4 im) 1/2)) -1/2)) (.f64 (pow.f64 im 3) (*.f64 (cos.f64 re) 1/12)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (exp.f64 im) (cos.f64 re)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(*.f64 1/2 (exp.f64 im))
(+.f64 (.f64 1/2 (exp.f64 im)) (.f64 -1/4 (*.f64 (exp.f64 im) (pow.f64 re 2))))
(fma.f64 1/2 (exp.f64 im) (.f64 -1/4 (.f64 (exp.f64 im) (*.f64 re re))))
(fma.f64 1/2 (exp.f64 im) (.f64 (exp.f64 im) (.f64 (*.f64 -1/4 re) re)))
(.f64 (exp.f64 im) (+.f64 1/2 (.f64 re (*.f64 re -1/4))))
(+.f64 (.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 -1/4 (*.f64 (exp.f64 im) (pow.f64 re 2)))))
(fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (.f64 -1/4 (.f64 (exp.f64 im) (.f64 re re)))))
(fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (.f64 (exp.f64 im) (.f64 (.f64 -1/4 re) re))))
(fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (.f64 (exp.f64 im) (+.f64 1/2 (.f64 re (.f64 re -1/4)))))
(+.f64 (.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/4 (.f64 (exp.f64 im) (pow.f64 re 2))) (.f64 -1/1440 (*.f64 (exp.f64 im) (pow.f64 re 6))))))
(fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/4 (.f64 (exp.f64 im) (.f64 re re)) (.f64 -1/1440 (*.f64 (exp.f64 im) (pow.f64 re 6))))))
(fma.f64 1/48 (.f64 (exp.f64 im) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/4 (.f64 re (.f64 re (exp.f64 im))) (.f64 (exp.f64 im) (*.f64 -1/1440 (pow.f64 re 6))))))
(+.f64 (.f64 (exp.f64 im) (+.f64 1/2 (.f64 re (.f64 re -1/4)))) (.f64 (exp.f64 im) (+.f64 (.f64 -1/1440 (pow.f64 re 6)) (.f64 1/48 (pow.f64 re 4)))))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))
(.f64 1/2 (.f64 (cos.f64 re) (exp.f64 im)))

localize4.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 25 to 9 computations (64% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0ms	im	@	inf	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0ms	im	@	-inf	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

rewrite65.0ms (0.6%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

69×	`add-sqr-sqrt_binary64`
66×	`add-log-exp_binary64`
65×	`*-un-lft-identity_binary64`
65×	`pow1_binary64`
64×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	129	6
2	2150	6
0	6	6

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 12

Calls

Call 1

Inputs
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Outputs

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
401×	`associate-/l/_binary64`
357×	`*-commutative_binary64`
327×	`fma-neg_binary64`
300×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	87
1	51	81
2	116	79
3	314	77
4	1147	77
5	3088	77
6	4136	77
7	6571	77

Stop Event

1×	node limit

Counts

20 → 21

Calls

Call 1

Inputs
2
(+.f64 2 (pow.f64 im 2))
(+.f64 2 (+.f64 (pow.f64 im 2) (*.f64 1/12 (pow.f64 im 4))))
(+.f64 2 (+.f64 (pow.f64 im 2) (+.f64 (.f64 1/12 (pow.f64 im 4)) (.f64 1/360 (pow.f64 im 6)))))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))

Outputs
2
(+.f64 2 (pow.f64 im 2))
(+.f64 2 (*.f64 im im))
(fma.f64 im im 2)
(+.f64 2 (+.f64 (pow.f64 im 2) (*.f64 1/12 (pow.f64 im 4))))
(+.f64 2 (+.f64 (.f64 im im) (.f64 1/12 (pow.f64 im 4))))
(+.f64 2 (fma.f64 im im (*.f64 1/12 (pow.f64 im 4))))
(fma.f64 1/12 (pow.f64 im 4) (fma.f64 im im 2))
(fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) 2))
(+.f64 2 (+.f64 (pow.f64 im 2) (+.f64 (.f64 1/12 (pow.f64 im 4)) (.f64 1/360 (pow.f64 im 6)))))
(+.f64 2 (+.f64 (.f64 im im) (fma.f64 1/12 (pow.f64 im 4) (.f64 1/360 (pow.f64 im 6)))))
(+.f64 2 (fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) (*.f64 1/360 (pow.f64 im 6)))))
(fma.f64 im im (fma.f64 1/12 (pow.f64 im 4) (fma.f64 1/360 (pow.f64 im 6) 2)))
(fma.f64 im (fma.f64 1/12 (pow.f64 im 3) im) (fma.f64 1/360 (pow.f64 im 6) 2))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
✓	0.0b	(.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))
✓	0.0b	(*.f64 1/720 (pow.f64 im 6))
✓	0.1b	(.f64 (.f64 im im) 1/24)

Compiler

Compiled 93 to 57 computations (38.7% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
1.0ms	re	@	0	(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
1.0ms	im	@	inf	(.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))
1.0ms	im	@	0	(.f64 (.f64 im im) 1/24)
1.0ms	im	@	0	(*.f64 1/720 (pow.f64 im 6))

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`fma-def_binary64`
348×	`fma-neg_binary64`
333×	`expm1-udef_binary64`
332×	`log1p-udef_binary64`
204×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	406	55
2	5576	55

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(.f64 (.f64 im im) 1/24)
(*.f64 1/720 (pow.f64 im 6))
(.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 im (.f64 im 1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 im (.f64 im 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 im (.f64 im 1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 im (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 im 6) 1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 im 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 im) im) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 im (.f64 im 1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 im 6) 1/13824))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 im (.f64 im 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 im (.f64 im 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 im) (log.f64 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 im) (log.f64 1/24)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/720 (pow.f64 im 6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/720 (pow.f64 im 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 im im) (cbrt.f64 1/720)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 im 3) (sqrt.f64 1/720)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/373248000 (pow.f64 (pow.f64 im 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/518400 (pow.f64 im 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/720) (pow.f64 im 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/720 (pow.f64 im 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/373248000 (pow.f64 (pow.f64 im 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/720 (pow.f64 im 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 1/720 (pow.f64 im 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/720 (pow.f64 im 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 6 (log.f64 im) (log.f64 1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 6 (log.f64 im) (log.f64 1/720)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/720 (pow.f64 im 6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/720 (pow.f64 im 6) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 im 6) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 im 6) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 im 6) 1)) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 im 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 im 6) 1)) (sqrt.f64 (fma.f64 1/720 (pow.f64 im 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 im 6) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/518400 (pow.f64 im 12) (.f64 -1/720 (pow.f64 im 6))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 1/518400 (pow.f64 im 12))) (/.f64 1 (+.f64 1 (.f64 -1/720 (pow.f64 im 6)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 im (.f64 im 1/2)) (.f64 1/24 (pow.f64 im 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 im (.f64 im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 im (.f64 im 1/2)) 1) (.f64 (.f64 1/24 (pow.f64 im 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im 1/24) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 im (.f64 im 1/2)) 3) (pow.f64 (.f64 1/24 (pow.f64 im 4)) 3)) (fma.f64 (.f64 im (.f64 im 1/2)) (.f64 im (.f64 im 1/2)) (-.f64 (.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 1/24 (pow.f64 im 4))) (.f64 (.f64 im (.f64 im 1/2)) (.f64 1/24 (pow.f64 im 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 im (.f64 im 1/2)) (.f64 im (.f64 im 1/2))) (.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 1/24 (pow.f64 im 4)))) (-.f64 (.f64 im (.f64 im 1/2)) (.f64 1/24 (pow.f64 im 4))))))) 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simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

725×	`distribute-rgt-in_binary64`
686×	`distribute-lft-in_binary64`
414×	`sqr-pow_binary64`
398×	`fma-def_binary64`
389×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	1077
1	158	1033
2	540	900
3	2527	856
4	5689	835
5	6584	835
6	6841	835
7	7144	835
8	7411	835
9	7758	835

Stop Event

1×	node limit

Counts

206 → 186

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))
✓	0.0b	(fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1))
	0.0b	(/.f64 1/2 (exp.f64 im))
✓	0.0b	(-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)

Compiler

Compiled 55 to 35 computations (36.4% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
427×	`prod-diff_binary64`
375×	`fma-def_binary64`
303×	`pow2_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	258	35
2	3422	35

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs

(-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)

(fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1))

(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 1/2) im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (-.f64 (log.f64 1/2) im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (exp.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 (log.f64 1/2) im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (exp.f64 im)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (exp.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (exp.f64 (neg.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (exp.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) (pow.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 2) (cbrt.f64 (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) (sqrt.f64 (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (+.f64 (/.f64 1/2 (exp.f64 im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 im)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (/.f64 1 (+.f64 (/.f64 1/2 (exp.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 1/2 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (exp.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (exp.f64 im) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (+.f64 (/.f64 1/2 (exp.f64 im)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/2 (exp.f64 im)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/2 (exp.f64 im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (exp.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (+.f64 (/.f64 1/2 (exp.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (+.f64 (/.f64 1/2 (exp.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (+.f64 (/.f64 1/2 (exp.f64 im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/2 (exp.f64 im)))))) (neg.f64 (+.f64 (/.f64 1/2 (exp.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 1/2) im)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 1/2) im)) 2) (expm1.f64 (-.f64 (log.f64 1/2) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 1/2) im)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 1/2) im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (exp.f64 im) 2))) (cbrt.f64 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (exp.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (pow.f64 (exp.f64 im) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 (pow.f64 (exp.f64 im) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 im) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (exp.f64 im) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (+.f64 (/.f64 1/2 (exp.f64 im)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1/2 (exp.f64 im)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/2 (exp.f64 im)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (exp.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/8 (pow.f64 (exp.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) (sqrt.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (expm1.f64 (-.f64 (log.f64 1/2) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 1/2 (exp.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 1/2) im))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 1/2) im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 (exp.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/2 (exp.f64 im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (expm1.f64 (-.f64 (log.f64 1/2) im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (exp.f64 (neg.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (exp.f64 im)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) (pow.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 2) (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) (sqrt.f64 (/.f64 1/2 (exp.f64 im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) (sqrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 (exp.f64 im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 2) (+.f64 (/.f64 1/2 (exp.f64 im)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/8 (pow.f64 (exp.f64 im) -3) 1) (/.f64 1 (fma.f64 (/.f64 1/2 (exp.f64 im)) (expm1.f64 (-.f64 (log.f64 1/2) im)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (neg.f64 im)) 1/2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) (/.f64 1 (+.f64 (/.f64 1/2 (exp.f64 im)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 1/4 (pow.f64 (exp.f64 im) 2))) (/.f64 1 (-.f64 1 (/.f64 1/2 (exp.f64 im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 1/2) im))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 1/2) im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 1/2) im))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 1/2) im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 1/2 (exp.f64 im))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im))) 1) (expm1.f64 (*.f64 1/2 (-.f64 (log.f64 1/2) im))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (exp.f64 im)) (*.f64 1/2 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (exp.f64 im)) (/.f64 1/2 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (exp.f64 im)) 1) (/.f64 1/2 (exp.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (exp.f64 im) (+.f64 1 (/.f64 1/2 (exp.f64 im)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/2 (exp.f64 im) (+.f64 1 (/.f64 1/2 (exp.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) 2) (cbrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) (sqrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 (exp.f64 im)) 3) (/.f64 1/8 (pow.f64 (exp.f64 im) 3))) (+.f64 (pow.f64 (*.f64 1/2 (exp.f64 im)) 2) (-.f64 (/.f64 1/4 (pow.f64 (exp.f64 im) 2)) (*.f64 (*.f64 1/2 (exp.f64 im)) (/.f64 1/2 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 (exp.f64 im)) 2) (/.f64 1/4 (pow.f64 (exp.f64 im) 2))) (-.f64 (*.f64 1/2 (exp.f64 im)) (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 (exp.f64 im))) (exp.f64 (*.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (exp.f64 im)))) (exp.f64 (*.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 (exp.f64 im))) (+.f64 1 (expm1.f64 (/.f64 1/2 (exp.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))) 1))))))

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

598×	`distribute-rgt-out_binary64`
521×	`fma-def_binary64`
433×	`distribute-lft-out_binary64`
389×	`associate-/l*_binary64`
366×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	773
1	231	738
2	772	691
3	3281	673
4	5716	673

Stop Event

1×	node limit

Counts

186 → 169

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 im))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (.f64 -1/2 im)))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (+.f64 (.f64 -1/2 im) (*.f64 -1/12 (pow.f64 im 3)))))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))

Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 im))
(fma.f64 -1/2 im 1/2)
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (.f64 -1/2 im)))
(+.f64 1/2 (fma.f64 1/4 (.f64 im im) (.f64 -1/2 im)))
(+.f64 1/2 (fma.f64 -1/2 im (.f64 im (.f64 im 1/4))))
(fma.f64 -1/2 im (fma.f64 im (*.f64 im 1/4) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (+.f64 (.f64 -1/2 im) (*.f64 -1/12 (pow.f64 im 3)))))
(+.f64 1/2 (fma.f64 1/4 (.f64 im im) (fma.f64 -1/2 im (.f64 -1/12 (pow.f64 im 3)))))
(+.f64 1/2 (fma.f64 -1/12 (pow.f64 im 3) (.f64 im (+.f64 -1/2 (.f64 im 1/4)))))
(+.f64 1/2 (.f64 im (+.f64 -1/2 (.f64 im (+.f64 1/4 (*.f64 im -1/12))))))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
(/.f64 1/2 (exp.f64 im))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 1/2 (.f64 im im)))
(fma.f64 1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 im 4) (fma.f64 1/2 (.f64 im im) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (+.f64 (.f64 (*.f64 -1/2 re) re) 1) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/2 (.f64 re re) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/24 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 (.f64 -1/2 re) re) (.f64 1/24 (pow.f64 re 4)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (*.f64 re re)) (fma.f64 1/24 (pow.f64 re 4) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/24 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (/.f64 1/2 (exp.f64 im))))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (/.f64 1/2 (exp.f64 im)))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 (.f64 -1/2 re) re) (*.f64 1/24 (pow.f64 re 4)))))
(fma.f64 (.f64 re re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) -1/4) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (fma.f64 1/24 (pow.f64 re 4) 1) (.f64 -1/720 (pow.f64 re 6)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (+.f64 1 (.f64 -1/720 (pow.f64 re 6))) (fma.f64 -1/2 (.f64 re re) (.f64 1/24 (pow.f64 re 4)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re))))
(fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (cos.f64 re)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 (*.f64 1/720 (cos.f64 re)) (pow.f64 im 6))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 1/720 (*.f64 (pow.f64 im 6) (cos.f64 re)))))
(+.f64 (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4)))) (.f64 (fma.f64 1/720 (pow.f64 im 6) 1) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/24 (pow.f64 im 4) (fma.f64 1/2 (.f64 im im) (*.f64 1/720 (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))

eval316.0ms (3%)

Compiler: Compiled 13137 to 7952 computations (39.5% saved)

prune142.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	595	7	602
Fresh	4	0	4
Picked	0	1	1
Done	4	1	5
Total	603	9	612

Error

Counts

612 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.1b	(.f64 1/2 (.f64 2 (cosh.f64 im)))
▶	0.6b	(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
	16.5b	(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))))
✓	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))
▶	0.0b	(*.f64 (cos.f64 re) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))))
▶	30.3b	(*.f64 1/2 (fma.f64 im im 2))
✓	0.9b	(cos.f64 re)
▶	30.6b	(*.f64 1/2 2)
	0.0b	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))

Compiler

Compiled 167 to 136 computations (18.6% saved)

localize78.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (exp.f64 im) 1)
✓	0.0b	(*.f64 (cos.f64 re) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))))
✓	0.0b	(+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im)))
✓	0.0b	(-.f64 (log.f64 1/2) im)

Compiler

Compiled 51 to 35 computations (31.4% saved)

series74.0ms (0.7%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
51.0ms	re	@	inf	(*.f64 (cos.f64 re) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))))
16.0ms	im	@	0	(-.f64 (log.f64 1/2) im)
2.0ms	re	@	0	(*.f64 (cos.f64 re) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))))
1.0ms	im	@	-inf	(+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im)))
1.0ms	im	@	0	(+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im)))

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
424×	`fma-def_binary64`
354×	`pow2_binary64`
246×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	271	52
2	3662	52

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

Inputs
(-.f64 (log.f64 1/2) im)
(+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im)))
(*.f64 (cos.f64 re) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))))
(fma.f64 1/2 (exp.f64 im) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 -1/2) (neg.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 -1/2) (.f64 (neg.f64 im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 -1/2) im) (fma.f64 (neg.f64 im) 1 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 -1/2) im) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) 2) im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 -1/2) im) (+.f64 (neg.f64 im) im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 -1/2) im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 im) (log1p.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im))) 2)) (log.f64 (cbrt.f64 (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im)))) (log.f64 (sqrt.f64 (/.f64 1/2 (exp.f64 im)))))))) (#(struct:change #<rule 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simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

707×	`associate-+l+_binary64`
630×	`distribute-rgt-out_binary64`
507×	`associate-+r+_binary64`
429×	`fma-def_binary64`
404×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	928
1	233	818
2	716	784
3	2762	757
4	6081	746

Stop Event

1×	node limit

Counts

296 → 275

Calls

Call 1

Inputs
(log.f64 1/2)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(*.f64 -1 im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(*.f64 -1 im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(+.f64 (log.f64 1/2) (*.f64 -1 im))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (exp.f64 (-.f64 (log.f64 1/2) im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (exp.f64 (-.f64 (log.f64 1/2) im)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (exp.f64 (-.f64 (log.f64 1/2) im))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
3/2
(+.f64 3/2 (*.f64 1/2 im))
(+.f64 3/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (.f64 1/2 im)))
(+.f64 3/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (+.f64 (.f64 1/2 im) (*.f64 1/12 (pow.f64 im 3)))))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))

Outputs
(log.f64 1/2)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
(+.f64 (log.f64 1/2) (*.f64 -1 im))
(-.f64 (log.f64 1/2) im)
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 1/2 (.f64 im im)))
(fma.f64 1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (fma.f64 1/2 (.f64 im im) 1) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6))))
(+.f64 (fma.f64 1/720 (pow.f64 im 6) (.f64 1/2 (.f64 im im))) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (.f64 -1 im))))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (exp.f64 (-.f64 (log.f64 1/2) im))))
(fma.f64 1/2 (exp.f64 im) (fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (.f64 re re)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(fma.f64 1/2 (exp.f64 im) (fma.f64 (.f64 -1/2 (.f64 re re)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (/.f64 1/2 (exp.f64 im))))
(.f64 (+.f64 (.f64 -1/2 (*.f64 re re)) 1) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 re re))) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (*.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (exp.f64 (-.f64 (log.f64 1/2) im)))))
(fma.f64 1/2 (exp.f64 im) (fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (.f64 re re)) (fma.f64 1/24 (*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (pow.f64 re 4)) (exp.f64 (-.f64 (log.f64 1/2) im)))))
(+.f64 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (.f64 re re)) (.f64 1/24 (pow.f64 re 4)))) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(fma.f64 1/2 (exp.f64 im) (fma.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/2 (.f64 re re) (.f64 1/24 (pow.f64 re 4))) (/.f64 1/2 (exp.f64 im))))
(.f64 (+.f64 (fma.f64 -1/2 (.f64 re re) (*.f64 1/24 (pow.f64 re 4))) 1) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))) (exp.f64 (-.f64 (log.f64 1/2) im))))))
(fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (pow.f64 re 6)) (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (.f64 re re)) (fma.f64 1/24 (.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (pow.f64 re 4)) (exp.f64 (-.f64 (log.f64 1/2) im))))))
(fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (+.f64 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (.f64 re re)) (*.f64 1/24 (pow.f64 re 4)))) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(fma.f64 1/2 (exp.f64 im) (fma.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 -1/720 (pow.f64 re 6)) (fma.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/2 (.f64 re re) (*.f64 1/24 (pow.f64 re 4))) (/.f64 1/2 (exp.f64 im)))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/720 (pow.f64 re 6)) (fma.f64 -1/2 (.f64 re re) (.f64 1/24 (pow.f64 re 4))))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (+.f64 (fma.f64 -1/2 (.f64 re re) (.f64 1/24 (pow.f64 re 4))) 1) (.f64 -1/720 (pow.f64 re 6))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (.f64 (.f64 1/24 (cos.f64 re)) (pow.f64 im 4)))
(fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (cos.f64 re)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 1/720 (*.f64 (pow.f64 im 6) (cos.f64 re)))))
(+.f64 (.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re)) (.f64 (cos.f64 re) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/24 (pow.f64 im 4) (fma.f64 1/720 (pow.f64 im 6) (.f64 1/2 (*.f64 im im))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (exp.f64 im)) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 -1 im)))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (exp.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
3/2
(+.f64 3/2 (*.f64 1/2 im))
(fma.f64 1/2 im 3/2)
(+.f64 3/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (.f64 1/2 im)))
(+.f64 3/2 (fma.f64 1/4 (.f64 im im) (.f64 1/2 im)))
(+.f64 3/2 (fma.f64 1/2 im (.f64 im (.f64 im 1/4))))
(fma.f64 1/2 im (fma.f64 (*.f64 im im) 1/4 3/2))
(+.f64 3/2 (+.f64 (.f64 1/4 (pow.f64 im 2)) (+.f64 (.f64 1/2 im) (*.f64 1/12 (pow.f64 im 3)))))
(+.f64 3/2 (fma.f64 1/4 (.f64 im im) (fma.f64 1/2 im (.f64 1/12 (pow.f64 im 3)))))
(+.f64 3/2 (fma.f64 (.f64 im im) 1/4 (fma.f64 1/2 im (.f64 1/12 (pow.f64 im 3)))))
(+.f64 (fma.f64 1/2 im 3/2) (.f64 (.f64 im im) (+.f64 (*.f64 im 1/12) 1/4)))
(+.f64 3/2 (.f64 im (+.f64 1/2 (.f64 im (+.f64 1/4 (*.f64 im 1/12))))))
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)
(+.f64 1 (*.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) 1)

localize3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(cosh.f64 im)

Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(cosh.f64 im)
1.0ms	im	@	inf	(cosh.f64 im)
0.0ms	im	@	0	(cosh.f64 im)

rewrite59.0ms (0.6%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

315×	`pow1_binary64`
308×	`add-sqr-sqrt_binary64`
299×	`*-un-lft-identity_binary64`
294×	`add-log-exp_binary64`
293×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	63	3
2	781	3
0	3	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(cosh.f64 im)

Outputs

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
402×	`associate-/l/_binary64`
399×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`
319×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	156
1	62	154
2	131	144
3	362	142
4	1219	142
5	3056	142
6	3831	142
7	4794	142
8	7914	142

Stop Event

1×	node limit

Counts

22 → 19

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 1/2 (.f64 im im)))
(fma.f64 1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (fma.f64 1/2 (.f64 im im) 1) (fma.f64 1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 1/720 (pow.f64 im 6) (fma.f64 1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(fma.f64 im (*.f64 im (fma.f64 (pow.f64 im 4) 1/720 1/2)) (fma.f64 1/24 (pow.f64 im 4) 1))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))

localize7.0ms (0.1%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
✓	0.0b	(.f64 (.f64 im im) 1/2)

Compiler

Compiled 33 to 17 computations (48.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`pow1_binary64`
917×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
105×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	210	20
2	2615	20

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(.f64 (.f64 im im) 1/2)
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 im (*.f64 im 1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 im (*.f64 im 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 im (*.f64 im 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 im (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 im im) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 im 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 im) (*.f64 im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 im (*.f64 im 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 im im) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 im (*.f64 im 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 im (*.f64 im 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 im (*.f64 im 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) (cos.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) 1) (cos.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) 3) (pow.f64 (cos.f64 re) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2))) (-.f64 (pow.f64 (cos.f64 re) 2) (*.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2))) (pow.f64 (cos.f64 re) 2)) (-.f64 (*.f64 (*.f64 (cos.f64 re) im) (*.f64 im 1/2)) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 im im) 3) 1/8)) (cos.f64 re)) (+.f64 (*.f64 (pow.f64 im 4) 1/4) (-.f64 1 (*.f64 im (*.f64 im 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im 4) 1/4) -1) (cos.f64 re)) (fma.f64 im (*.f64 im 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 re) (+.f64 1 (*.f64 (pow.f64 (*.f64 im im) 3) 1/8))) (+.f64 (*.f64 (pow.f64 im 4) 1/4) (-.f64 1 (*.f64 im (*.f64 im 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im 4) 1/4) -1)) (fma.f64 im (*.f64 im 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im (*.f64 im 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 (fma.f64 im (*.f64 im 1/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (*.f64 im 1/2) 1) 3) (pow.f64 (cos.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (*.f64 im 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 im (*.f64 im 1/2)) (cos.f64 re) (cos.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 re) (*.f64 im (*.f64 im 1/2)) (cos.f64 re))))))

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def_binary64`
622×	`associate-+l+_binary64`
588×	`distribute-rgt-in_binary64`
578×	`distribute-lft-in_binary64`
554×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	520
1	99	472
2	297	444
3	1201	426
4	4313	419
5	5492	419
6	6670	419
7	6947	419
8	7135	419
9	7357	419
10	7668	419

Stop Event

1×	node limit

Counts

73 → 53

Calls

Call 1

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

Outputs
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(*.f64 1/2 (pow.f64 im 2))
(.f64 1/2 (.f64 im im))
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 (.f64 1/2 (.f64 im im)) 1)
(fma.f64 1/2 (*.f64 im im) 1)
(fma.f64 im (*.f64 1/2 im) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) (pow.f64 re 2)))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (.f64 im im)) 1) (.f64 re re)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 im im) 1) (.f64 re re)) (.f64 1/2 (*.f64 im im))))
(.f64 (+.f64 (.f64 -1/2 (.f64 re re)) 1) (fma.f64 1/2 (.f64 im im) 1))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (fma.f64 -1/2 (*.f64 re re) 1))
(+.f64 1 (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) (pow.f64 re 4))) (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 -1/2 (.f64 (+.f64 1 (*.f64 1/2 (pow.f64 im 2))) (pow.f64 re 2))))))
(+.f64 1 (fma.f64 1/24 (.f64 (+.f64 (.f64 1/2 (.f64 im im)) 1) (pow.f64 re 4)) (fma.f64 1/2 (.f64 im im) (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (.f64 im im)) 1) (*.f64 re re))))))
(+.f64 1 (fma.f64 1/24 (.f64 (fma.f64 1/2 (.f64 im im) 1) (pow.f64 re 4)) (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 im im) 1) (.f64 re re)) (.f64 1/2 (*.f64 im im)))))
(fma.f64 (pow.f64 re 4) (+.f64 1/24 (.f64 (.f64 im im) 1/48)) (.f64 (+.f64 (.f64 -1/2 (.f64 re re)) 1) (fma.f64 1/2 (.f64 im im) 1)))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (+.f64 (fma.f64 -1/2 (.f64 re re) 1) (.f64 1/24 (pow.f64 re 4))))
(+.f64 1 (+.f64 (.f64 1/24 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) (pow.f64 re 4))) (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) (pow.f64 re 2))) (.f64 -1/720 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 im 2))) (pow.f64 re 6)))))))
(+.f64 1 (fma.f64 1/24 (.f64 (+.f64 (.f64 1/2 (.f64 im im)) 1) (pow.f64 re 4)) (fma.f64 1/2 (.f64 im im) (fma.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (.f64 im im)) 1) (.f64 re re)) (.f64 -1/720 (.f64 (+.f64 (.f64 1/2 (.f64 im im)) 1) (pow.f64 re 6)))))))
(+.f64 1 (fma.f64 1/24 (.f64 (fma.f64 1/2 (.f64 im im) 1) (pow.f64 re 4)) (fma.f64 1/2 (.f64 im im) (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 im im) 1) (.f64 re re)) (.f64 (fma.f64 1/2 (.f64 im im) 1) (*.f64 (pow.f64 re 6) -1/720))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 re re)) 1) (fma.f64 1/2 (.f64 im im) 1)) (.f64 (fma.f64 1/2 (.f64 im im) 1) (+.f64 (.f64 -1/720 (pow.f64 re 6)) (.f64 1/24 (pow.f64 re 4)))))
(fma.f64 (pow.f64 re 4) (fma.f64 (.f64 im im) 1/48 1/24) (.f64 (fma.f64 im (.f64 1/2 im) 1) (+.f64 (fma.f64 -1/2 (.f64 re re) 1) (*.f64 -1/720 (pow.f64 re 6)))))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (+.f64 (fma.f64 -1/2 (.f64 re re) 1) (fma.f64 -1/720 (pow.f64 re 6) (.f64 1/24 (pow.f64 re 4)))))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (pow.f64 im 2))))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (cos.f64 re)))
(.f64 (.f64 1/2 (*.f64 im im)) (cos.f64 re))
(.f64 1/2 (.f64 im (*.f64 im (cos.f64 re))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2)))
(.f64 1/2 (.f64 (*.f64 im im) (cos.f64 re)))
(.f64 (.f64 1/2 (*.f64 im im)) (cos.f64 re))
(.f64 1/2 (.f64 im (*.f64 im (cos.f64 re))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(.f64 (fma.f64 1/2 (.f64 im im) 1) (cos.f64 re))
(.f64 (fma.f64 im (.f64 1/2 im) 1) (cos.f64 re))

eval157.0ms (1.5%)

Compiler: Compiled 6997 to 4710 computations (32.7% saved)

prune73.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	346	1	347
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	347	9	356

Error

Counts

356 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.1b	(.f64 1/2 (.f64 2 (cosh.f64 im)))
✓	0.6b	(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
▶	16.5b	(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))))
▶	0.0b	(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
✓	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))
✓	30.3b	(*.f64 1/2 (fma.f64 im im 2))
✓	0.9b	(cos.f64 re)
✓	30.6b	(*.f64 1/2 2)
▶	0.0b	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))

Compiler

Compiled 95 to 76 computations (20% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 im)
✓	0.0b	(.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))
✓	0.0b	(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))))
✓	2.2b	(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))

Compiler

Compiled 50 to 30 computations (40% saved)

series112.0ms (1.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	re	@	-inf	(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))
25.0ms	im	@	-inf	(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))
18.0ms	re	@	inf	(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))
17.0ms	im	@	inf	(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))
5.0ms	im	@	0	(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`pow1_binary64`
862×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	233	26
2	2374	26

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im)))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))))
(.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))

Outputs

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

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

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

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-+l+_binary64`
575×	`associate-+r+_binary64`
416×	`distribute-lft-out_binary64`
406×	`fma-def_binary64`
331×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	1570
1	196	1564
2	598	1424
3	2078	1372
4	5412	1368
5	7969	1368

Stop Event

1×	node limit

Counts

156 → 100

Calls

Call 1

Inputs
(log.f64 (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(+.f64 (.f64 -1/2 (pow.f64 re 2)) (log.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(+.f64 (.f64 -1/12 (pow.f64 re 4)) (+.f64 (.f64 -1/2 (pow.f64 re 2)) (log.f64 (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))))
(+.f64 (.f64 -1/12 (pow.f64 re 4)) (+.f64 (.f64 -1/2 (pow.f64 re 2)) (+.f64 (log.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))) (.f64 -1/45 (pow.f64 re 6)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (cos.f64 re))
(+.f64 (*.f64 1/2 (pow.f64 im 2)) (log.f64 (cos.f64 re)))
(+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 -1/12 (pow.f64 im 4)) (log.f64 (cos.f64 re))))
(+.f64 (.f64 1/45 (pow.f64 im 6)) (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (*.f64 -1/12 (pow.f64 im 4)) (log.f64 (cos.f64 re)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (.f64 -1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/1440 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (.f64 -1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/1440 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))

Outputs
(log.f64 (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(log.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(log.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(+.f64 (.f64 -1/2 (pow.f64 re 2)) (log.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(fma.f64 -1/2 (.f64 re re) (log.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(fma.f64 -1/2 (*.f64 re re) (log.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(+.f64 (.f64 -1/12 (pow.f64 re 4)) (+.f64 (.f64 -1/2 (pow.f64 re 2)) (log.f64 (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))))
(fma.f64 -1/12 (pow.f64 re 4) (fma.f64 -1/2 (.f64 re re) (log.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(fma.f64 -1/2 (*.f64 re re) (fma.f64 -1/12 (pow.f64 re 4) (log.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))))
(+.f64 (.f64 -1/12 (pow.f64 re 4)) (+.f64 (.f64 -1/2 (pow.f64 re 2)) (+.f64 (log.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))) (.f64 -1/45 (pow.f64 re 6)))))
(fma.f64 -1/12 (pow.f64 re 4) (fma.f64 -1/2 (.f64 re re) (+.f64 (log.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 -1/45 (pow.f64 re 6)))))
(fma.f64 -1/12 (pow.f64 re 4) (fma.f64 -1/2 (.f64 re re) (fma.f64 -1/45 (pow.f64 re 6) (log.f64 (.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 -1/2 (*.f64 re re) (fma.f64 -1/12 (pow.f64 re 4) (fma.f64 -1/45 (pow.f64 re 6) (log.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (cos.f64 re))
(+.f64 (*.f64 1/2 (pow.f64 im 2)) (log.f64 (cos.f64 re)))
(fma.f64 1/2 (*.f64 im im) (log.f64 (cos.f64 re)))
(+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 -1/12 (pow.f64 im 4)) (log.f64 (cos.f64 re))))
(fma.f64 1/2 (*.f64 im im) (fma.f64 -1/12 (pow.f64 im 4) (log.f64 (cos.f64 re))))
(+.f64 (.f64 1/45 (pow.f64 im 6)) (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (*.f64 -1/12 (pow.f64 im 4)) (log.f64 (cos.f64 re)))))
(fma.f64 1/45 (pow.f64 im 6) (fma.f64 1/2 (*.f64 im im) (fma.f64 -1/12 (pow.f64 im 4) (log.f64 (cos.f64 re)))))
(fma.f64 1/2 (*.f64 im im) (fma.f64 1/45 (pow.f64 im 6) (fma.f64 -1/12 (pow.f64 im 4) (log.f64 (cos.f64 re)))))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(log.f64 (.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))))
(log.f64 (.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))))
(log.f64 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re)))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (.f64 -1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re re))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (*.f64 re re) -1/4)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (*.f64 re -1/4))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4)))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 1/48 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4)))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re 4) 1/48))))
(fma.f64 (.f64 re re) (fma.f64 (exp.f64 im) -1/4 (/.f64 -1/4 (exp.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (*.f64 (pow.f64 re 4) 1/48))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (+.f64 (.f64 (pow.f64 re 4) 1/48) (.f64 re (.f64 re -1/4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/1440 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 1/48 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 4) 1/48)))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (.f64 re -1/4)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re 6) -1/1440) (.f64 (pow.f64 re 4) 1/48))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 1/2 (.f64 re (.f64 re -1/4))) (+.f64 (.f64 (pow.f64 re 4) 1/48) (*.f64 (pow.f64 re 6) -1/1440))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
(fma.f64 (.f64 1/2 (cos.f64 re)) (.f64 im im) (cos.f64 re))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (fma.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (.f64 1/2 (.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 (pow.f64 im 4) 1/24))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (+.f64 (cos.f64 re) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 1/720 (*.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 (.f64 1/2 (cos.f64 re)) (.f64 im im) (cos.f64 re)) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 (cos.f64 re) (*.f64 (pow.f64 im 6) 1/720))))
(+.f64 (fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (*.f64 (pow.f64 im 6) 1/720))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (+.f64 (.f64 1/2 (.f64 im im)) (*.f64 (pow.f64 im 6) 1/720)))))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 (pow.f64 im 6) 1/720)) (+.f64 (.f64 1/2 (.f64 im im)) (*.f64 (pow.f64 im 4) 1/24))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (.f64 -1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re re))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (*.f64 re re) -1/4)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (*.f64 re -1/4))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4)))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 1/48 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4)))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (pow.f64 re 4) 1/48))))
(fma.f64 (.f64 re re) (fma.f64 (exp.f64 im) -1/4 (/.f64 -1/4 (exp.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (*.f64 (pow.f64 re 4) 1/48))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (+.f64 (.f64 (pow.f64 re 4) 1/48) (.f64 re (.f64 re -1/4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/1440 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 1/48 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 4) 1/48)))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (.f64 re -1/4)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re 6) -1/1440) (.f64 (pow.f64 re 4) 1/48))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 1/2 (.f64 re (.f64 re -1/4))) (+.f64 (.f64 (pow.f64 re 4) 1/48) (*.f64 (pow.f64 re 6) -1/1440))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
(fma.f64 (.f64 1/2 (cos.f64 re)) (.f64 im im) (cos.f64 re))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (fma.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (.f64 1/2 (.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 (pow.f64 im 4) 1/24))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (+.f64 (cos.f64 re) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 1/720 (*.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 (.f64 1/2 (cos.f64 re)) (.f64 im im) (cos.f64 re)) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 (cos.f64 re) (*.f64 (pow.f64 im 6) 1/720))))
(+.f64 (fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re)) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (*.f64 (pow.f64 im 6) 1/720))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (+.f64 (.f64 1/2 (.f64 im im)) (*.f64 (pow.f64 im 6) 1/720)))))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 (pow.f64 im 6) 1/720)) (+.f64 (.f64 1/2 (.f64 im im)) (*.f64 (pow.f64 im 4) 1/24))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 33 computations (37.7% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
0.0ms	im	@	inf	(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
0.0ms	re	@	0	(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
0.0ms	im	@	0	(-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))
0.0ms	re	@	-inf	(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))

rewrite134.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`prod-diff_binary64`
592×	`log-prod_binary64`
367×	`fma-def_binary64`
232×	`log1p-udef_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	259	49
2	3525	49

Stop Event

1×	node limit

Counts

3 → 242

Calls

Call 1

Inputs

(-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))

(-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 1/2 (exp.f64 im) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (fma.f64 1/2 (exp.f64 im) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 1/2 (exp.f64 im) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)))) (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))) 2) (cbrt.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))) (sqrt.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (exp.f64 im) 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 (exp.f64 im) 1) (+.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (exp.f64 im) 1) 2)) (/.f64 1 (+.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/2 (exp.f64 im) 1) (+.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) 1) (-.f64 1 (pow.f64 (fma.f64 1/2 (exp.f64 im) 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1/4 (pow.f64 (exp.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 (exp.f64 im) 2)) (pow.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) 2)) (cos.f64 re)) (+.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 1/8 (pow.f64 (exp.f64 im) 3)) (pow.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) 3))) (fma.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) (+.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) (/.f64 1/2 (exp.f64 im))) (/.f64 1/4 (pow.f64 (exp.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 re) (-.f64 (/.f64 1/4 (pow.f64 (exp.f64 im) 2)) (pow.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) 2))) (+.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)) (/.f64 1/2 (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) 3) (pow.f64 (cos.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))) (cos.f64 re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re) (*.f64 (neg.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))) (cos.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 re) (/.f64 1/2 (exp.f64 im)) (*.f64 (cos.f64 re) (neg.f64 (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 re) (expm1.f64 (-.f64 (log.f64 1/2) im)) (*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (-.f64 (log.f64 1/2) im)) (cos.f64 re) (*.f64 (fma.f64 1/2 (exp.f64 im) 1) (cos.f64 re)))))))

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-rgt-out_binary64`
521×	`fma-def_binary64`
433×	`distribute-lft-out_binary64`
389×	`associate-/l*_binary64`
364×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	771
1	235	736
2	779	690
3	3306	672
4	5802	670

Stop Event

1×	node limit

Counts

290 → 274

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 -1/2 im) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 im 2)) (.f64 -1/2 im)) 1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 im 2)) (+.f64 (.f64 -1/2 im) (*.f64 -1/12 (pow.f64 im 3)))) 1/2)
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))

Outputs
-1/2
(-.f64 (*.f64 -1/2 im) 1/2)
(fma.f64 -1/2 im -1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 im 2)) (.f64 -1/2 im)) 1/2)
(+.f64 (.f64 -1/4 (.f64 im im)) (fma.f64 -1/2 im -1/2))
(fma.f64 -1/4 (*.f64 im im) (fma.f64 -1/2 im -1/2))
(fma.f64 -1/2 im (fma.f64 -1/4 (*.f64 im im) -1/2))
(fma.f64 im (+.f64 -1/2 (*.f64 im -1/4)) -1/2)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 im 2)) (+.f64 (.f64 -1/2 im) (*.f64 -1/12 (pow.f64 im 3)))) 1/2)
(+.f64 (fma.f64 -1/4 (.f64 im im) (fma.f64 -1/2 im (.f64 -1/12 (pow.f64 im 3)))) -1/2)
(+.f64 -1/2 (fma.f64 -1/4 (.f64 im im) (fma.f64 -1/2 im (.f64 -1/12 (pow.f64 im 3)))))
(fma.f64 im (*.f64 im -1/4) (fma.f64 -1/12 (pow.f64 im 3) (fma.f64 -1/2 im -1/2)))
(fma.f64 im (+.f64 (.f64 im (+.f64 -1/4 (.f64 im -1/12))) -1/2) -1/2)
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
(*.f64 -1/2 (exp.f64 im))
1
(+.f64 1 (*.f64 1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 1/2 (.f64 im im)))
(fma.f64 1/2 (*.f64 im im) 1)
(fma.f64 im (*.f64 im 1/2) 1)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 im (*.f64 im 1/2) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 im (.f64 im 1/2) (fma.f64 1/24 (pow.f64 im 4) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 im 4) (fma.f64 im (.f64 im 1/2) (.f64 1/720 (pow.f64 im 6)))))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im)))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im)))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (+.f64 (.f64 -1/2 (*.f64 re re)) 1) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/2 (.f64 re re) 1))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 (*.f64 re re) -1/4)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (.f64 1/2 (/.f64 1 (exp.f64 im))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/24 (*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (.f64 re re)) (.f64 1/24 (pow.f64 re 4)))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (fma.f64 -1/2 (.f64 re re) 1) (*.f64 1/24 (pow.f64 re 4))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 1/24 (pow.f64 re 4)) (fma.f64 -1/2 (*.f64 re re) 1)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 (pow.f64 re 4) 1/48) (+.f64 1/2 (.f64 (.f64 re re) -1/4))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 re 4) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (+.f64 (.f64 1/2 (exp.f64 im)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 re 6) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (.f64 1/2 (exp.f64 im))))) (.f64 1/2 (/.f64 1 (exp.f64 im)))))))
(fma.f64 -1/2 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (.f64 re re)) (fma.f64 1/24 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 4)) (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (/.f64 1/2 (exp.f64 im))))))
(+.f64 (fma.f64 1/2 (exp.f64 im) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (pow.f64 re 6)) (/.f64 1/2 (exp.f64 im)))) (.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (.f64 -1/2 (.f64 re re)) (*.f64 1/24 (pow.f64 re 4)))))
(fma.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (fma.f64 -1/2 (.f64 re re) (.f64 1/24 (pow.f64 re 4))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 (pow.f64 re 6) -1/1440))))
(.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 re 6)) (fma.f64 1/24 (pow.f64 re 4) 1)) (.f64 -1/2 (.f64 re re))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 1/2 (.f64 (pow.f64 re 6) -1/1440)) (+.f64 (.f64 (pow.f64 re 4) 1/48) (.f64 (*.f64 re re) -1/4))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re))
(.f64 (fma.f64 im (.f64 im 1/2) 1) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re))))
(fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (cos.f64 re)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 im (.f64 im 1/2) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (fma.f64 im (.f64 im 1/2) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 im im) (cos.f64 re)) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 1/720 (*.f64 (pow.f64 im 6) (cos.f64 re)))))
(+.f64 (fma.f64 1/2 (.f64 im (.f64 im (cos.f64 re))) (cos.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (cos.f64 re)) (.f64 1/720 (*.f64 (pow.f64 im 6) (cos.f64 re)))))
(+.f64 (.f64 (cos.f64 re) (fma.f64 im (.f64 im 1/2) (.f64 1/24 (pow.f64 im 4)))) (.f64 (fma.f64 1/720 (pow.f64 im 6) 1) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 im (.f64 im 1/2) (fma.f64 1/24 (pow.f64 im 4) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (fma.f64 1/24 (pow.f64 im 4) (fma.f64 im (.f64 im 1/2) (*.f64 1/720 (pow.f64 im 6))))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (/.f64 1 (exp.f64 im))) (*.f64 1/2 (exp.f64 im))))
(*.f64 (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))) (cos.f64 re))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cosh.f64 im)
✓	0.0b	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))
0.0ms	re	@	0	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))
0.0ms	im	@	inf	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))
0.0ms	re	@	-inf	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))
0.0ms	im	@	-inf	(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
785×	`add-log-exp_binary64`
784×	`log1p-expm1-u_binary64`
784×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	8
1	208	8
2	2168	8

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))

Outputs

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

638×	`distribute-rgt-in_binary64`
622×	`distribute-lft-in_binary64`
544×	`associate-+l+_binary64`
491×	`associate-+r+_binary64`
395×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	542
1	138	540
2	442	480
3	1543	454
4	4538	452
5	7050	452

Stop Event

1×	node limit

Counts

38 → 31

Calls

Call 1

Inputs
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (.f64 -1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4)))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/1440 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))

Outputs
(cos.f64 re)
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re))
(.f64 (+.f64 (.f64 1/2 (*.f64 im im)) 1) (cos.f64 re))
(fma.f64 (cos.f64 re) (.f64 1/2 (.f64 im im)) (cos.f64 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re)) (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))))
(fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (fma.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4)) (cos.f64 re)))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 1/2 (.f64 im im)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4))) (.f64 1/720 (.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re)) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 1/720 (*.f64 (cos.f64 re) (pow.f64 im 6)))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 re) (.f64 im im)) (cos.f64 re)) (fma.f64 1/24 (.f64 (cos.f64 re) (pow.f64 im 4)) (.f64 (cos.f64 re) (*.f64 (pow.f64 im 6) 1/720))))
(+.f64 (cos.f64 re) (fma.f64 (cos.f64 re) (.f64 1/2 (.f64 im im)) (.f64 (cos.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (+.f64 (.f64 1/2 (.f64 im im)) (.f64 1/720 (pow.f64 im 6))) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (*.f64 1/720 (pow.f64 im 6))))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (.f64 -1/4 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re re))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (*.f64 re re) -1/4)))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (*.f64 re -1/4))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 -1/4 (*.f64 re re))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4)))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 1/48 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4)))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 1/48 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (.f64 re re) -1/4))))
(fma.f64 (pow.f64 re 4) (fma.f64 (exp.f64 im) 1/48 (/.f64 1/48 (exp.f64 im))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (*.f64 re -1/4)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 (.f64 1/48 (pow.f64 re 4)) (.f64 -1/4 (.f64 re re))) 1/2))
(+.f64 (.f64 1/2 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))) (+.f64 (.f64 -1/1440 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 6))) (+.f64 (.f64 -1/4 (.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 2))) (.f64 1/48 (*.f64 (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im)) (pow.f64 re 4))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 -1/4 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re re)) (.f64 1/48 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4))))))
(fma.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 -1/1440 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)) (fma.f64 1/48 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 4)) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (*.f64 re re) -1/4)))))
(+.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (.f64 re (.f64 re -1/4)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (.f64 1/48 (pow.f64 re 4)) (.f64 -1/1440 (pow.f64 re 6)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 1/2 (.f64 -1/4 (.f64 re re))) (+.f64 (.f64 -1/1440 (pow.f64 re 6)) (*.f64 1/48 (pow.f64 re 4)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 (.f64 1/48 (pow.f64 re 4)) (+.f64 (.f64 -1/1440 (pow.f64 re 6)) (.f64 -1/4 (*.f64 re re)))) 1/2))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (/.f64 1 (exp.f64 im)) (exp.f64 im))))
(.f64 1/2 (.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) 1/2))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))

eval359.0ms (3.4%)

Compiler: Compiled 11657 to 7823 computations (32.9% saved)

prune97.0ms (0.9%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	468	2	470
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	470	9	479

Error

Counts

479 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.1b	(.f64 1/2 (.f64 2 (cosh.f64 im)))
✓	0.6b	(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
	0.0b	(*.f64 (cosh.f64 im) (cos.f64 re))
✓	0.0b	(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
✓	0.0b	(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))
	16.5b	(exp.f64 (log.f64 (*.f64 (cosh.f64 im) (cos.f64 re))))
✓	30.3b	(*.f64 1/2 (fma.f64 im im 2))
✓	0.9b	(cos.f64 re)
✓	30.6b	(*.f64 1/2 2)

Compiler

Compiled 87 to 68 computations (21.8% saved)

regimes112.0ms (1.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(cos.f64 re)
(.f64 1/2 (.f64 2 (cosh.f64 im)))
(*.f64 1/2 (fma.f64 im im 2))
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (*.f64 im im))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) 1/2))
(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 (log.f64 (*.f64 (cosh.f64 im) (cos.f64 re))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))
(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (+.f64 (fma.f64 1/2 (exp.f64 im) 1) (expm1.f64 (-.f64 (log.f64 1/2) im))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (cbrt.f64 (pow.f64 (/.f64 1/2 (exp.f64 im)) 3))))

Outputs
(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))

Calls

9 calls:

42.0ms	im
11.0ms	re
9.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(*.f64 1/2 (cos.f64 re))
9.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Error	Segments	Branch
0.0b	1	`re`
0.0b	1	`im`
0.0b	1	`(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0.0b	1	`(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0.0b	1	`(*.f64 1/2 (cos.f64 re))`
0.0b	1	`(*.f64 1/2 (cos.f64 re))`
0.0b	1	`(cos.f64 re)`
0.0b	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0.0b	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 284 to 174 computations (38.7% saved)

regimes169.0ms (1.6%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(cos.f64 re)
(.f64 1/2 (.f64 2 (cosh.f64 im)))
(*.f64 1/2 (fma.f64 im im 2))
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (*.f64 im im))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(.f64 (.f64 1/2 (*.f64 2 (cosh.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 re) (+.f64 (+.f64 1 (.f64 1/720 (pow.f64 im 6))) (.f64 (.f64 im im) (+.f64 1/2 (.f64 (.f64 im im) 1/24)))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) 1/2))
(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 (log.f64 (*.f64 (cosh.f64 im) (cos.f64 re))))
(exp.f64 (log.f64 (.f64 (cos.f64 re) (.f64 1/2 (*.f64 2 (cosh.f64 im))))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (/.f64 1/2 (exp.f64 im))))
(*.f64 (cos.f64 re) (-.f64 (/.f64 1/2 (exp.f64 im)) (-.f64 1 (fma.f64 1/2 (exp.f64 im) 1))))
(*.f64 (cos.f64 re) (fma.f64 1/2 (exp.f64 im) (-.f64 (+.f64 1 (/.f64 1/2 (exp.f64 im))) 1)))

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))

Calls

9 calls:

75.0ms	(*.f64 1/2 (cos.f64 re))
20.0ms	re
20.0ms	im
16.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Error	Segments	Branch
0.0b	1	`re`
0.0b	1	`im`
0.0b	1	`(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0.0b	1	`(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0.0b	1	`(*.f64 1/2 (cos.f64 re))`
0.0b	1	`(*.f64 1/2 (cos.f64 re))`
0.0b	1	`(cos.f64 re)`
0.0b	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0.0b	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`

Compiler

Compiled 241 to 150 computations (37.8% saved)

regimes25.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(cos.f64 re)
(.f64 1/2 (.f64 2 (cosh.f64 im)))
(*.f64 1/2 (fma.f64 im im 2))
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
(.f64 (cos.f64 re) (+.f64 1 (.f64 1/2 (*.f64 im im))))

Outputs
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))

Calls

3 calls:

11.0ms	(cos.f64 re)
7.0ms	im
5.0ms	re

Results

Error	Segments	Branch
0.6b	1	`re`
0.6b	1	`im`
0.6b	1	`(cos.f64 re)`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes17.0ms (0.2%)

Accuracy

Total -29.7b remaining (-3221%)

Threshold costs -29.7b (-3221%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 2)
(cos.f64 re)
(.f64 1/2 (.f64 2 (cosh.f64 im)))
(*.f64 1/2 (fma.f64 im im 2))

Outputs
(cos.f64 re)

Calls

3 calls:

4.0ms	re
4.0ms	im
4.0ms	(cos.f64 re)

Results

Error	Segments	Branch
0.9b	1	`re`
0.9b	1	`im`
0.9b	1	`(cos.f64 re)`

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	30	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
(cos.f64 re)
(*.f64 1/2 2)

Outputs
(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (/.f64 1/2 (exp.f64 im)) (cos.f64 re)))
(+.f64 (.f64 (.f64 1/2 (exp.f64 im)) (cos.f64 re)) (*.f64 (cos.f64 re) (/.f64 1/2 (exp.f64 im))))
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(.f64 (cos.f64 re) (+.f64 (.f64 (*.f64 im im) 1/2) 1))
(.f64 (cos.f64 re) (+.f64 (.f64 1/2 (*.f64 im im)) 1))
(cos.f64 re)
(*.f64 1/2 2)
1

Compiler

Compiled 43 to 31 computations (27.9% saved)

soundness178.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
530×	`associate-/l*_binary64`
430×	`unswap-sqr_binary64`
374×	`times-frac_binary64`
340×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	28	18
2	70	18
3	132	17
4	192	17
5	346	17
6	780	17
7	1351	17
8	3967	17
9	4490	17
10	5461	17
11	6024	17
12	7058	17

Stop Event

1×	node limit

Compiler

Compiled 124 to 94 computations (24.2% saved)

end366.0ms (3.5%)

Compiler: Compiled 35 to 20 computations (42.9% saved)

Details

analyze364.0ms (3.5%)

sample5.1s (48.8%)

preprocess117.0ms (1.1%)

simplify84.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.1%)

series10.0ms (0.1%)

rewrite63.0ms (0.6%)

simplify83.0ms (0.8%)

localize32.0ms (0.3%)

series12.0ms (0.1%)

rewrite119.0ms (1.1%)

simplify75.0ms (0.7%)

eval61.0ms (0.6%)

prune28.0ms (0.3%)

localize19.0ms (0.2%)

series15.0ms (0.1%)

rewrite82.0ms (0.8%)

simplify97.0ms (0.9%)

localize4.0ms (0%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite65.0ms (0.6%)

simplify68.0ms (0.6%)

localize36.0ms (0.3%)

series10.0ms (0.1%)

rewrite117.0ms (1.1%)

simplify161.0ms (1.5%)

localize25.0ms (0.2%)

series7.0ms (0.1%)

rewrite82.0ms (0.8%)

simplify72.0ms (0.7%)

eval316.0ms (3%)

prune142.0ms (1.4%)

localize78.0ms (0.7%)

series74.0ms (0.7%)

rewrite116.0ms (1.1%)

simplify76.0ms (0.7%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite59.0ms (0.6%)

simplify74.0ms (0.7%)

localize7.0ms (0.1%)

localize13.0ms (0.1%)

series5.0ms (0.1%)

rewrite57.0ms (0.5%)

simplify130.0ms (1.2%)

eval157.0ms (1.5%)

prune73.0ms (0.7%)

localize21.0ms (0.2%)

series112.0ms (1.1%)

rewrite69.0ms (0.7%)

simplify90.0ms (0.9%)

localize23.0ms (0.2%)

series5.0ms (0%)

rewrite134.0ms (1.3%)

simplify90.0ms (0.9%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite55.0ms (0.5%)

simplify69.0ms (0.7%)

eval359.0ms (3.4%)

prune97.0ms (0.9%)

regimes112.0ms (1.1%)

regimes169.0ms (1.6%)

regimes25.0ms (0.2%)

regimes17.0ms (0.2%)

simplify6.0ms (0.1%)

soundness178.0ms (1.7%)

end366.0ms (3.5%)

Profiling