Details

analyze61.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.2s (41.3%)

Results

870.0ms	6192×	body	256	valid
718.0ms	1364×	body	1024	valid
213.0ms	698×	body	512	valid
205.0ms	664×	body	1024	invalid
89.0ms	360×	body	512	invalid
62.0ms	386×	body	256	invalid
2.0ms	2×	body	2048	valid

preprocess80.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 im) (cos.f64 re))

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite37.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1324	8

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))

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

Outputs

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

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
582×	`associate-l_binary64`
568×	`distribute-lft-out_binary64`
524×	`distribute-rgt-out_binary64`
448×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	152
1	105	150
2	269	142
3	868	122
4	3279	118
5	5667	118
6	7103	118
7	7527	118

Stop Event

1×	node limit

Counts

19 → 25

Calls

Call 1

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

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

eval5.0ms (0.1%)

Compiler: Compiled 275 to 138 computations (49.8% saved)

prune8.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Error

Counts

26 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
	0.8b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
▶	25.9b	(*.f64 (cos.f64 im) (+.f64 re 1))
▶	25.8b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
▶	26.2b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	18.8b	(exp.f64 re)

Compiler

Compiled 95 to 69 computations (27.4% saved)

localize46.0ms (0.9%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
✓	0.2b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	184	19
2	1902	19

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-def_binary64`
559×	`associate-l_binary64`
521×	`associate-r_binary64`
376×	`unswap-sqr_binary64`
327×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	820
1	302	789
2	1055	734
3	5734	724
4	6666	724
5	7766	724

Stop Event

1×	node limit

Counts

102 → 82

Calls

Call 1

Inputs
(pow.f64 (cos.f64 im) 3)
(+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (cos.f64 im) 3))
(+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 3)) (*.f64 4 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2))))
(+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 2 (pow.f64 (cos.f64 im) 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (cos.f64 im) 2)) (pow.f64 (cos.f64 im) 2)) (cos.f64 im)) (.f64 1/6 (pow.f64 (cos.f64 im) 3))))) (pow.f64 re 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 3)) (.f64 4 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2)))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(pow.f64 (exp.f64 re) 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 re) 3)) (*.f64 -1/2 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 2)) (pow.f64 (exp.f64 re) 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 re) 3)) (.f64 -1/2 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 1/12 (pow.f64 (exp.f64 re) 2)) (.f64 1/4 (pow.f64 (exp.f64 re) 2)))) (+.f64 (.f64 1/24 (pow.f64 (exp.f64 re) 3)) (*.f64 1/2 (pow.f64 (exp.f64 re) 3)))) (pow.f64 im 4)) (pow.f64 (exp.f64 re) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 re) 3)) (.f64 -1/2 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 2)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (exp.f64 re) 3)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (+.f64 (.f64 1/12 (pow.f64 (exp.f64 re) 2)) (.f64 1/4 (pow.f64 (exp.f64 re) 2))))) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (exp.f64 re) 2)) (.f64 -1/360 (pow.f64 (exp.f64 re) 2))) (exp.f64 re)) (.f64 -1/720 (pow.f64 (exp.f64 re) 3))))) (pow.f64 im 6)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 1/12 (pow.f64 (exp.f64 re) 2)) (.f64 1/4 (pow.f64 (exp.f64 re) 2)))) (+.f64 (.f64 1/24 (pow.f64 (exp.f64 re) 3)) (*.f64 1/2 (pow.f64 (exp.f64 re) 3)))) (pow.f64 im 4)) (pow.f64 (exp.f64 re) 3))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

Outputs
(pow.f64 (cos.f64 im) 3)
(+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (cos.f64 im) 3))
(fma.f64 (*.f64 3 (pow.f64 (cos.f64 im) 3)) re (pow.f64 (cos.f64 im) 3))
(.f64 (+.f64 (.f64 3 re) 1) (pow.f64 (cos.f64 im) 3))
(+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 3)) (*.f64 4 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2))))
(+.f64 (fma.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) re (pow.f64 (cos.f64 im) 3)) (.f64 (.f64 (pow.f64 (cos.f64 im) 3) 9/2) (.f64 re re)))
(fma.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) re (fma.f64 (.f64 (pow.f64 (cos.f64 im) 3) 9/2) (*.f64 re re) (pow.f64 (cos.f64 im) 3)))
(fma.f64 (pow.f64 (cos.f64 im) 3) (.f64 (.f64 re re) 9/2) (.f64 (+.f64 (.f64 3 re) 1) (pow.f64 (cos.f64 im) 3)))
(+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 2 (pow.f64 (cos.f64 im) 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (cos.f64 im) 2)) (pow.f64 (cos.f64 im) 2)) (cos.f64 im)) (.f64 1/6 (pow.f64 (cos.f64 im) 3))))) (pow.f64 re 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 3)) (.f64 4 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2)))))
(+.f64 (fma.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) re (pow.f64 (cos.f64 im) 3)) (fma.f64 (+.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (fma.f64 (.f64 4/3 (pow.f64 (cos.f64 im) 2)) (cos.f64 im) (.f64 (pow.f64 (cos.f64 im) 3) 1/6))) (pow.f64 re 3) (.f64 (.f64 (pow.f64 (cos.f64 im) 3) 9/2) (*.f64 re re))))
(+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 im) 3) 9/2) (.f64 re re) (.f64 (fma.f64 3 (pow.f64 (cos.f64 im) 3) (fma.f64 (pow.f64 (cos.f64 im) 3) 1/6 (.f64 4/3 (pow.f64 (cos.f64 im) 3)))) (pow.f64 re 3))) (fma.f64 (*.f64 3 (pow.f64 (cos.f64 im) 3)) re (pow.f64 (cos.f64 im) 3)))
(+.f64 (.f64 (.f64 re re) (+.f64 (.f64 (pow.f64 (cos.f64 im) 3) 9/2) (.f64 re (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) 3/2))))) (.f64 (+.f64 (*.f64 3 re) 1) (pow.f64 (cos.f64 im) 3)))
(fma.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re) (fma.f64 (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) 3/2)) (pow.f64 re 3) (.f64 (+.f64 (.f64 (*.f64 re re) 9/2) 1) (pow.f64 (cos.f64 im) 3))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(pow.f64 (exp.f64 re) 3)
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 re) 3)) (*.f64 -1/2 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 2)) (pow.f64 (exp.f64 re) 3))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) -3/2) (.f64 im im) (pow.f64 (exp.f64 re) 3))
(fma.f64 im (.f64 (pow.f64 (exp.f64 re) 3) (.f64 -3/2 im)) (pow.f64 (exp.f64 re) 3))
(.f64 (+.f64 (.f64 (*.f64 im im) -3/2) 1) (pow.f64 (exp.f64 re) 3))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 re) 3)) (.f64 -1/2 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 1/12 (pow.f64 (exp.f64 re) 2)) (.f64 1/4 (pow.f64 (exp.f64 re) 2)))) (+.f64 (.f64 1/24 (pow.f64 (exp.f64 re) 3)) (*.f64 1/2 (pow.f64 (exp.f64 re) 3)))) (pow.f64 im 4)) (pow.f64 (exp.f64 re) 3)))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) -3/2) (.f64 im im) (fma.f64 (fma.f64 (exp.f64 re) (.f64 (pow.f64 (exp.f64 re) 2) 1/3) (.f64 (pow.f64 (exp.f64 re) 3) 13/24)) (pow.f64 im 4) (pow.f64 (exp.f64 re) 3)))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) -3/2) (.f64 im im) (fma.f64 (fma.f64 (pow.f64 (exp.f64 re) 3) 13/24 (*.f64 (pow.f64 (exp.f64 re) 3) 1/3)) (pow.f64 im 4) (pow.f64 (exp.f64 re) 3)))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) 7/8) (pow.f64 im 4) (fma.f64 im (.f64 (pow.f64 (exp.f64 re) 3) (*.f64 -3/2 im)) (pow.f64 (exp.f64 re) 3)))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) 7/8) (pow.f64 im 4) (.f64 (+.f64 (.f64 (.f64 im im) -3/2) 1) (pow.f64 (exp.f64 re) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 re) 3)) (.f64 -1/2 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 2)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (exp.f64 re) 3)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (+.f64 (.f64 1/12 (pow.f64 (exp.f64 re) 2)) (.f64 1/4 (pow.f64 (exp.f64 re) 2))))) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (exp.f64 re) 2)) (.f64 -1/360 (pow.f64 (exp.f64 re) 2))) (exp.f64 re)) (.f64 -1/720 (pow.f64 (exp.f64 re) 3))))) (pow.f64 im 6)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 1/12 (pow.f64 (exp.f64 re) 2)) (.f64 1/4 (pow.f64 (exp.f64 re) 2)))) (+.f64 (.f64 1/24 (pow.f64 (exp.f64 re) 3)) (*.f64 1/2 (pow.f64 (exp.f64 re) 3)))) (pow.f64 im 4)) (pow.f64 (exp.f64 re) 3))))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) -3/2) (.f64 im im) (fma.f64 (fma.f64 -1/24 (pow.f64 (exp.f64 re) 3) (fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (pow.f64 (exp.f64 re) 2) 1/3)) (fma.f64 (.f64 (pow.f64 (exp.f64 re) 2) -2/45) (exp.f64 re) (.f64 (pow.f64 (exp.f64 re) 3) -1/720)))) (pow.f64 im 6) (fma.f64 (fma.f64 (exp.f64 re) (.f64 (pow.f64 (exp.f64 re) 2) 1/3) (.f64 (pow.f64 (exp.f64 re) 3) 13/24)) (pow.f64 im 4) (pow.f64 (exp.f64 re) 3))))
(fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) -3/2) (.f64 im im) (fma.f64 (fma.f64 (pow.f64 (exp.f64 re) 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 re) 3) 1/3) (fma.f64 (pow.f64 (exp.f64 re) 3) -1/720 (.f64 (pow.f64 (exp.f64 re) 3) -2/45)))) (pow.f64 im 6) (fma.f64 (fma.f64 (pow.f64 (exp.f64 re) 3) 13/24 (*.f64 (pow.f64 (exp.f64 re) 3) 1/3)) (pow.f64 im 4) (pow.f64 (exp.f64 re) 3))))
(fma.f64 (+.f64 (.f64 (pow.f64 (exp.f64 re) 3) -11/240) (fma.f64 (pow.f64 (exp.f64 re) 3) -1/24 (.f64 (pow.f64 (exp.f64 re) 3) -1/6))) (pow.f64 im 6) (fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) 7/8) (pow.f64 im 4) (fma.f64 im (.f64 (pow.f64 (exp.f64 re) 3) (*.f64 -3/2 im)) (pow.f64 (exp.f64 re) 3))))
(fma.f64 (+.f64 (.f64 (pow.f64 (exp.f64 re) 3) -11/240) (fma.f64 (pow.f64 (exp.f64 re) 3) -1/24 (.f64 (pow.f64 (exp.f64 re) 3) -1/6))) (pow.f64 im 6) (fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) 7/8) (pow.f64 im 4) (.f64 (+.f64 (.f64 (.f64 im im) -3/2) 1) (pow.f64 (exp.f64 re) 3))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (*.f64 (+.f64 re 1) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 (+.f64 re 1) (cos.f64 im))))
(fma.f64 (cos.f64 im) (.f64 1/6 (pow.f64 re 3)) (.f64 (cos.f64 im) (+.f64 (.f64 1/2 (.f64 re re)) (+.f64 re 1))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (exp.f64 re))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (exp.f64 re))
(fma.f64 (exp.f64 re) (.f64 im (.f64 im -1/2)) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 im (.f64 im -1/2)) (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (+.f64 (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)) (.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6)) (exp.f64 re))))
(+.f64 (fma.f64 (exp.f64 re) (.f64 1/24 (pow.f64 im 4)) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 im (*.f64 im -1/2)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))

localize3.0ms (0%)

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

localize3.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	0.1b	(*.f64 (cos.f64 im) (+.f64 re 1))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series13.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	re	@	0	(*.f64 (cos.f64 im) (+.f64 re 1))
1.0ms	im	@	0	(*.f64 (cos.f64 im) (+.f64 re 1))
1.0ms	re	@	inf	(*.f64 (cos.f64 im) (+.f64 re 1))
0.0ms	im	@	-inf	(*.f64 (cos.f64 im) (+.f64 re 1))
0.0ms	im	@	inf	(*.f64 (cos.f64 im) (+.f64 re 1))

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
675×	`add-log-exp_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1882	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify168.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
749×	`distribute-rgt-out_binary64`
634×	`distribute-rgt-in_binary64`
625×	`distribute-lft-in_binary64`
519×	`associate-l_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	30	268
1	78	262
2	249	250
3	919	243
4	3738	243
5	5935	243
6	6117	243
7	6356	243
8	6575	243
9	6848	239

Stop Event

1×	node limit

Counts

48 → 36

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 im) re)
	0.0b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
✓	0.0b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
✓	0.1b	(*.f64 (cos.f64 im) re)

Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0.1%)

Counts

2 → 11

Calls

12 calls:

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

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	129	15
2	1783	15

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))

Outputs

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

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

654×	`associate-+l+_binary64`
541×	`associate-l_binary64`
408×	`associate-r_binary64`
379×	`associate-+r+_binary64`
316×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	165
1	120	161
2	307	161
3	1214	161
4	4348	161
5	5697	161
6	6051	161
7	7736	161

Stop Event

1×	node limit

Counts

60 → 67

Calls

Call 1

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

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

eval80.0ms (1.5%)

Compiler: Compiled 2982 to 1535 computations (48.5% saved)

prune35.0ms (0.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	205	5	210
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	205	12	217

Error

Counts

217 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
▶	26.2b	(+.f64 re (cos.f64 im))
✓	25.8b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
▶	26.0b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
✓	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
✓	25.9b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	26.2b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	61.8b	(*.f64 (cos.f64 im) re)
▶	43.9b	(+.f64 1 re)
	26.0b	(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1)))
✓	18.8b	(exp.f64 re)

Compiler

Compiled 146 to 108 computations (26% saved)

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.5b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
	0.1b	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
	0.0b	(exp.f64 (exp.f64 re))
✓	0.0b	(exp.f64 (exp.f64 re))
✓	0.1b	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
✓	0.5b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))

Compiler

Compiled 24 to 7 computations (70.8% saved)

series173.0ms (3.3%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	re	@	-inf	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
52.0ms	re	@	inf	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
31.0ms	im	@	inf	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
15.0ms	im	@	-inf	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
11.0ms	im	@	0	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`pow1_binary64`
645×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	152	23
2	1788	23

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(exp.f64 (exp.f64 re))

Outputs

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

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

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

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

386×	`distribute-rgt-in_binary64`
383×	`*-commutative_binary64`
383×	`distribute-lft-in_binary64`
377×	`associate-+l+_binary64`
367×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1013
1	414	970
2	1528	909
3	4769	862
4	5800	850

Stop Event

1×	node limit

Counts

118 → 103

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/2 (pow.f64 (cos.f64 im) 2)))) (*.f64 -1 (pow.f64 (cos.f64 im) 2)))))))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 -6 (.f64 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/2 (pow.f64 (cos.f64 im) 2))) (cos.f64 im))) (+.f64 (.f64 2 (pow.f64 (cos.f64 im) 3)) (.f64 6 (+.f64 (.f64 1/6 (cos.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/6 (pow.f64 (cos.f64 im) 3))))))))) (.f64 1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/2 (pow.f64 (cos.f64 im) 2)))) (.f64 -1 (pow.f64 (cos.f64 im) 2))))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (exp.f64 re) 2)) (.f64 24 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))))) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (exp.f64 re) 2)) (.f64 24 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))))) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 1/720 (.f64 (+.f64 (.f64 -30 (pow.f64 (exp.f64 re) 3)) (+.f64 (.f64 720 (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 2)) (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 3)) (.f64 -1/720 (exp.f64 re))))) (.f64 360 (.f64 (exp.f64 re) (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (*.f64 1/24 (exp.f64 re))))))) (pow.f64 im 6))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 (cos.f64 im))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2)))))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2))) (.f64 (exp.f64 (cos.f64 im)) (.f64 (pow.f64 re 3) (+.f64 (.f64 1/6 (cos.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (*.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 2)) (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 3)) (.f64 -1/720 (exp.f64 re)))) (.f64 (pow.f64 im 6) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 1)
(+.f64 (*.f64 re (exp.f64 1)) (exp.f64 1))
(+.f64 (.f64 re (exp.f64 1)) (+.f64 (.f64 (pow.f64 re 2) (exp.f64 1)) (exp.f64 1)))
(+.f64 (.f64 re (exp.f64 1)) (+.f64 (.f64 (pow.f64 re 2) (exp.f64 1)) (+.f64 (.f64 5/6 (.f64 (pow.f64 re 3) (exp.f64 1))) (exp.f64 1))))

Outputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/2 (pow.f64 (cos.f64 im) 2)))) (*.f64 -1 (pow.f64 (cos.f64 im) 2)))))))
(+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (.f64 1/2 (.f64 (.f64 re re) (fma.f64 2 (.f64 1/2 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))) (neg.f64 (pow.f64 (cos.f64 im) 2))))))
(fma.f64 (cos.f64 im) re (fma.f64 1/2 (.f64 (.f64 re re) (-.f64 (*.f64 1 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))) (pow.f64 (cos.f64 im) 2))) (cos.f64 im)))
(fma.f64 (cos.f64 im) re (fma.f64 1/2 (.f64 (.f64 re re) (+.f64 (cos.f64 im) (*.f64 (pow.f64 (cos.f64 im) 2) 0))) (cos.f64 im)))
(fma.f64 (cos.f64 im) re (fma.f64 1/2 (.f64 (.f64 re re) (+.f64 (cos.f64 im) 0)) (cos.f64 im)))
(fma.f64 (cos.f64 im) re (fma.f64 (.f64 1/2 (.f64 re re)) (cos.f64 im) (cos.f64 im)))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (+.f64 (.f64 -6 (.f64 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/2 (pow.f64 (cos.f64 im) 2))) (cos.f64 im))) (+.f64 (.f64 2 (pow.f64 (cos.f64 im) 3)) (.f64 6 (+.f64 (.f64 1/6 (cos.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/6 (pow.f64 (cos.f64 im) 3))))))))) (.f64 1/2 (.f64 (pow.f64 re 2) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/2 (pow.f64 (cos.f64 im) 2)))) (.f64 -1 (pow.f64 (cos.f64 im) 2))))))))
(+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (fma.f64 -6 (.f64 (cos.f64 im) (.f64 1/2 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2)))) (fma.f64 2 (pow.f64 (cos.f64 im) 3) (.f64 6 (fma.f64 1/6 (cos.f64 im) (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))) (.f64 1/2 (.f64 (.f64 re re) (fma.f64 2 (*.f64 1/2 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))) (neg.f64 (pow.f64 (cos.f64 im) 2)))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 re re) (-.f64 (.f64 1 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))) (pow.f64 (cos.f64 im) 2))) (.f64 (fma.f64 (.f64 -3 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))) (cos.f64 im) (fma.f64 6 (fma.f64 (cos.f64 im) 1/6 (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (.f64 1/6 (pow.f64 (cos.f64 im) 3)))) (.f64 2 (pow.f64 (cos.f64 im) 3)))) (.f64 1/6 (pow.f64 re 3)))) (*.f64 (+.f64 re 1) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (fma.f64 (.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im)) -3) (cos.f64 im) (fma.f64 2 (pow.f64 (cos.f64 im) 3) (+.f64 (cos.f64 im) (.f64 6 (.f64 (pow.f64 (cos.f64 im) 2) (+.f64 (.f64 (cos.f64 im) 1/6) 1/2)))))))) (fma.f64 (cos.f64 im) re (fma.f64 1/2 (.f64 (.f64 re re) (+.f64 (cos.f64 im) (*.f64 (pow.f64 (cos.f64 im) 2) 0))) (cos.f64 im))))
(+.f64 (.f64 (pow.f64 re 3) (.f64 1/6 (fma.f64 (.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im)) -3) (cos.f64 im) (fma.f64 2 (pow.f64 (cos.f64 im) 3) (+.f64 (cos.f64 im) (.f64 6 (.f64 (pow.f64 (cos.f64 im) 2) (+.f64 1/2 (.f64 (cos.f64 im) 1/6))))))))) (fma.f64 (cos.f64 im) re (fma.f64 1/2 (.f64 (.f64 re re) (+.f64 (cos.f64 im) 0)) (cos.f64 im))))
(+.f64 (.f64 (pow.f64 re 3) (.f64 1/6 (fma.f64 (.f64 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im)) -3) (cos.f64 im) (fma.f64 2 (pow.f64 (cos.f64 im) 3) (+.f64 (cos.f64 im) (.f64 6 (.f64 (pow.f64 (cos.f64 im) 2) (+.f64 1/2 (.f64 (cos.f64 im) 1/6))))))))) (fma.f64 (cos.f64 im) re (fma.f64 (.f64 1/2 (.f64 re re)) (cos.f64 im) (cos.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (exp.f64 re))
(fma.f64 (.f64 (exp.f64 re) -1/2) (.f64 im im) (exp.f64 re))
(.f64 (+.f64 (.f64 -1/2 (*.f64 im im)) 1) (exp.f64 re))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (*.f64 im im)) 1))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (exp.f64 re) 2)) (.f64 24 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))))) (pow.f64 im 4))) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 (exp.f64 re) 2) (.f64 24 (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (*.f64 (exp.f64 re) 1/24)))) (pow.f64 im 4)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 (exp.f64 re) 2) (+.f64 (.f64 (exp.f64 re) 1) (*.f64 3 (pow.f64 (exp.f64 re) 2)))) (pow.f64 im 4)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 (exp.f64 re) (.f64 (pow.f64 (exp.f64 re) 2) 0)) (pow.f64 im 4)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (*.f64 (+.f64 (exp.f64 re) 0) (pow.f64 im 4)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (pow.f64 (exp.f64 re) 2)) (.f64 24 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))))) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 1/720 (.f64 (+.f64 (.f64 -30 (pow.f64 (exp.f64 re) 3)) (+.f64 (.f64 720 (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 2)) (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 3)) (.f64 -1/720 (exp.f64 re))))) (.f64 360 (.f64 (exp.f64 re) (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (*.f64 1/24 (exp.f64 re))))))) (pow.f64 im 6))))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (+.f64 (fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 (exp.f64 re) 2) (.f64 24 (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (.f64 (exp.f64 re) 1/24)))) (pow.f64 im 4)) (exp.f64 re)) (.f64 1/720 (.f64 (fma.f64 -30 (pow.f64 (exp.f64 re) 3) (fma.f64 720 (fma.f64 -1/48 (pow.f64 (exp.f64 re) 2) (fma.f64 -1/48 (pow.f64 (exp.f64 re) 3) (.f64 (exp.f64 re) -1/720))) (.f64 360 (.f64 (exp.f64 re) (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (*.f64 (exp.f64 re) 1/24)))))) (pow.f64 im 6)))))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (.f64 (fma.f64 -3 (pow.f64 (exp.f64 re) 2) (+.f64 (.f64 (exp.f64 re) 1) (.f64 3 (pow.f64 (exp.f64 re) 2)))) (pow.f64 im 4)) (fma.f64 1/720 (.f64 (fma.f64 -30 (pow.f64 (exp.f64 re) 3) (fma.f64 720 (fma.f64 (pow.f64 (exp.f64 re) 2) -1/48 (fma.f64 (pow.f64 (exp.f64 re) 3) -1/48 (.f64 (exp.f64 re) -1/720))) (.f64 (fma.f64 (exp.f64 re) 1/24 (.f64 (pow.f64 (exp.f64 re) 2) 1/8)) (.f64 (exp.f64 re) 360)))) (pow.f64 im 6)) (exp.f64 re))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 (exp.f64 re) (.f64 (pow.f64 (exp.f64 re) 2) 0)) (pow.f64 im 4)) (fma.f64 1/720 (.f64 (fma.f64 -30 (pow.f64 (exp.f64 re) 3) (fma.f64 720 (fma.f64 (pow.f64 (exp.f64 re) 2) -1/48 (fma.f64 (pow.f64 (exp.f64 re) 3) -1/48 (.f64 (exp.f64 re) -1/720))) (.f64 360 (.f64 (pow.f64 (exp.f64 re) 2) (+.f64 (*.f64 (exp.f64 re) 1/8) 1/24))))) (pow.f64 im 6)) (exp.f64 re))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 (exp.f64 re) 0) (pow.f64 im 4)) (fma.f64 1/720 (.f64 (fma.f64 -30 (pow.f64 (exp.f64 re) 3) (fma.f64 720 (.f64 (exp.f64 re) (+.f64 -1/720 (.f64 -1/48 (+.f64 (exp.f64 re) (pow.f64 (exp.f64 2) re))))) (.f64 360 (.f64 (pow.f64 (exp.f64 2) re) (+.f64 (*.f64 (exp.f64 re) 1/8) 1/24))))) (pow.f64 im 6)) (exp.f64 re))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (fma.f64 1/720 (.f64 (fma.f64 -30 (pow.f64 (exp.f64 re) 3) (fma.f64 720 (.f64 (exp.f64 re) (+.f64 -1/720 (.f64 -1/48 (+.f64 (exp.f64 re) (pow.f64 (exp.f64 2) re))))) (.f64 360 (.f64 (pow.f64 (exp.f64 2) re) (+.f64 (*.f64 (exp.f64 re) 1/8) 1/24))))) (pow.f64 im 6)) (exp.f64 re))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (cos.f64 im))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (.f64 (cos.f64 im) re) (exp.f64 (cos.f64 im))))
(.f64 (+.f64 (.f64 (cos.f64 im) re) 1) (exp.f64 (cos.f64 im)))
(.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (cos.f64 im) re) 1))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2)))))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (cos.f64 im) re) (.f64 (.f64 re re) (*.f64 1/2 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2)))))))
(fma.f64 (exp.f64 (cos.f64 im)) (fma.f64 (cos.f64 im) re (.f64 1/2 (.f64 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2)) (*.f64 re re)))) (exp.f64 (cos.f64 im)))
(.f64 (+.f64 (.f64 re (+.f64 (cos.f64 im) (.f64 re (.f64 1/2 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im)))))) 1) (exp.f64 (cos.f64 im)))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2))) (.f64 (exp.f64 (cos.f64 im)) (.f64 (pow.f64 re 3) (+.f64 (.f64 1/6 (cos.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (*.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))))
(+.f64 (exp.f64 (cos.f64 im)) (fma.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (.f64 re re) (.f64 1/2 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2)))) (.f64 (pow.f64 re 3) (fma.f64 1/6 (cos.f64 im) (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (*.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (fma.f64 (cos.f64 im) re (.f64 1/2 (.f64 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2)) (.f64 re re)))) (.f64 (pow.f64 re 3) (fma.f64 (cos.f64 im) 1/6 (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (.f64 1/6 (pow.f64 (cos.f64 im) 3))))))))
(.f64 (exp.f64 (cos.f64 im)) (+.f64 (+.f64 (.f64 (cos.f64 im) re) 1) (.f64 (.f64 re re) (+.f64 (.f64 re (fma.f64 (cos.f64 im) 1/6 (.f64 (pow.f64 (cos.f64 im) 2) (+.f64 (.f64 (cos.f64 im) 1/6) 1/2)))) (.f64 1/2 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im)))))))
(.f64 (exp.f64 (cos.f64 im)) (+.f64 (+.f64 (.f64 (cos.f64 im) re) 1) (.f64 (.f64 re re) (+.f64 (.f64 re (fma.f64 (cos.f64 im) 1/6 (.f64 (pow.f64 (cos.f64 im) 2) (+.f64 1/2 (.f64 (cos.f64 im) 1/6))))) (.f64 1/2 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im)))))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (*.f64 im im) (exp.f64 (exp.f64 re)))) (exp.f64 (exp.f64 re)))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 (+.f64 re (exp.f64 re)))) (exp.f64 (exp.f64 re)))
(.f64 (+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im))) 1) (exp.f64 (exp.f64 re)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re))))
(fma.f64 (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (.f64 (exp.f64 re) 1/24)) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re))) (fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (*.f64 im im) (exp.f64 (exp.f64 re)))) (exp.f64 (exp.f64 re))))
(fma.f64 (fma.f64 (exp.f64 re) 1/24 (.f64 (pow.f64 (exp.f64 re) 2) 1/8)) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re))) (fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 (+.f64 re (exp.f64 re)))) (exp.f64 (exp.f64 re))))
(+.f64 (exp.f64 (exp.f64 re)) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im))) (.f64 (.f64 (exp.f64 re) (+.f64 1/24 (*.f64 (exp.f64 re) 1/8))) (pow.f64 im 4)))))
(.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 (.f64 (exp.f64 re) (+.f64 1/24 (*.f64 (exp.f64 re) 1/8))) (pow.f64 im 4)) 1)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 2)) (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 3)) (.f64 -1/720 (exp.f64 re)))) (.f64 (pow.f64 im 6) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))))
(fma.f64 (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (.f64 (exp.f64 re) 1/24)) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re))) (fma.f64 (fma.f64 -1/48 (pow.f64 (exp.f64 re) 2) (fma.f64 -1/48 (pow.f64 (exp.f64 re) 3) (.f64 (exp.f64 re) -1/720))) (.f64 (pow.f64 im 6) (exp.f64 (exp.f64 re))) (fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (*.f64 im im) (exp.f64 (exp.f64 re)))) (exp.f64 (exp.f64 re)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 (+.f64 re (exp.f64 re)))) (exp.f64 (exp.f64 re))) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (fma.f64 (exp.f64 re) 1/24 (.f64 (pow.f64 (exp.f64 re) 2) 1/8)) (pow.f64 im 4)) (.f64 (fma.f64 (pow.f64 (exp.f64 re) 2) -1/48 (fma.f64 (pow.f64 (exp.f64 re) 3) -1/48 (*.f64 (exp.f64 re) -1/720))) (pow.f64 im 6)))))
(+.f64 (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (fma.f64 (pow.f64 (exp.f64 re) 2) -1/48 (fma.f64 (pow.f64 (exp.f64 re) 3) -1/48 (.f64 (exp.f64 re) -1/720))) (pow.f64 im 6)) (.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im))))) (.f64 (+.f64 (.f64 (.f64 (exp.f64 re) (+.f64 1/24 (.f64 (exp.f64 re) 1/8))) (pow.f64 im 4)) 1) (exp.f64 (exp.f64 re))))
(.f64 (exp.f64 (exp.f64 re)) (+.f64 (+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im))) 1) (+.f64 (.f64 (.f64 (exp.f64 re) (+.f64 -1/720 (.f64 -1/48 (+.f64 (exp.f64 re) (pow.f64 (exp.f64 2) re))))) (pow.f64 im 6)) (.f64 (.f64 (exp.f64 re) (+.f64 1/24 (.f64 (exp.f64 re) 1/8))) (pow.f64 im 4)))))
(.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 (.f64 (exp.f64 re) (+.f64 -1/720 (.f64 -1/48 (+.f64 (exp.f64 re) (pow.f64 (exp.f64 2) re))))) (pow.f64 im 6)) (+.f64 (.f64 (.f64 (exp.f64 re) (+.f64 1/24 (.f64 (exp.f64 re) 1/8))) (pow.f64 im 4)) 1))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 1)
(E.f64)
(+.f64 (*.f64 re (exp.f64 1)) (exp.f64 1))
(fma.f64 re (E.f64) (E.f64))
(+.f64 (.f64 re (exp.f64 1)) (+.f64 (.f64 (pow.f64 re 2) (exp.f64 1)) (exp.f64 1)))
(fma.f64 re (E.f64) (fma.f64 (*.f64 re re) (E.f64) (E.f64)))
(*.f64 (E.f64) (+.f64 re (fma.f64 re re 1)))
(+.f64 (.f64 re (exp.f64 1)) (+.f64 (.f64 (pow.f64 re 2) (exp.f64 1)) (+.f64 (.f64 5/6 (.f64 (pow.f64 re 3) (exp.f64 1))) (exp.f64 1))))
(fma.f64 re (E.f64) (fma.f64 (.f64 re re) (E.f64) (fma.f64 5/6 (.f64 (pow.f64 re 3) (E.f64)) (E.f64))))
(+.f64 (.f64 (E.f64) (+.f64 re (fma.f64 re re 1))) (.f64 (pow.f64 re 3) (*.f64 (E.f64) 5/6)))
(.f64 (E.f64) (+.f64 (+.f64 re (fma.f64 re re 1)) (.f64 (pow.f64 re 3) 5/6)))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 im) re)
	0.1b	(*.f64 (cos.f64 im) re)

Compiler

Compiled 10 to 4 computations (60% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize29.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))
	0.2b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
	0.1b	(*.f64 (cos.f64 im) (+.f64 1 re))
✓	0.1b	(*.f64 (cos.f64 im) (+.f64 1 re))
✓	0.2b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
✓	0.3b	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series7.0ms (0.1%)

Counts

3 → 68

Calls

18 calls:

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

rewrite79.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`prod-diff_binary64`
609×	`fma-def_binary64`
419×	`log-prod_binary64`
260×	`fma-neg_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	206	28
2	2950	28

Stop Event

1×	node limit

Counts

3 → 300

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
(*.f64 (cos.f64 im) (+.f64 1 re))

Outputs

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

simplify153.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

617×	`distribute-rgt-in_binary64`
613×	`distribute-lft-in_binary64`
527×	`distribute-rgt-out_binary64`
520×	`associate-l_binary64`
465×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	788
1	107	770
2	338	734
3	1190	730
4	2967	726
5	6331	726
6	6507	726
7	6746	726
8	6965	726
9	7238	726
10	7575	726

Stop Event

1×	node limit

Counts

368 → 216

Calls

Call 1

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

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

eval98.0ms (1.9%)

Compiler: Compiled 5200 to 2984 computations (42.6% saved)

prune50.0ms (0.9%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	333	4	337
Fresh	0	1	1
Picked	0	1	1
Done	1	9	10
Total	334	15	349

Error

Counts

349 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.8b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
✓	26.0b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
▶	43.9b	(-.f64 (+.f64 2 re) 1)
✓	43.9b	(+.f64 1 re)
▶	26.0b	(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1)))
▶	0.7b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
▶	60.6b	(-.f64 (*.f64 (cos.f64 im) re) 1)
✓	18.8b	(exp.f64 re)
✓	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
✓	26.2b	(+.f64 re (cos.f64 im))
✓	25.9b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	26.2b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	61.8b	(*.f64 (cos.f64 im) re)
	61.9b	re

Compiler

Compiled 112 to 83 computations (25.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 im) re)
	0.1b	(*.f64 (cos.f64 im) re)

Compiler

Compiled 17 to 7 computations (58.8% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.5b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
	0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
✓	0.5b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	re	@	0	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
0.0ms	im	@	0	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0ms	re	@	0	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0ms	re	@	inf	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.0ms	im	@	-inf	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite43.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
550×	`add-log-exp_binary64`
550×	`log1p-expm1-u_binary64`
550×	`expm1-log1p-u_binary64`
536×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	137	18
2	1521	18

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

Outputs

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

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

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-def_binary64`
589×	`distribute-rgt-out_binary64`
492×	`distribute-rgt-in_binary64`
468×	`distribute-lft-in_binary64`
445×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	596
1	252	570
2	798	540
3	3999	516
4	7371	516
5	7566	516
6	7908	516

Stop Event

1×	node limit

Counts

83 → 79

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 (cos.f64 im))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2)))))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2))) (.f64 (exp.f64 (cos.f64 im)) (.f64 (pow.f64 re 3) (+.f64 (.f64 1/6 (cos.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (*.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))))
(exp.f64 (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 2)) (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 3)) (.f64 -1/720 (exp.f64 re)))) (.f64 (pow.f64 im 6) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))))

Outputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))))
(fma.f64 (+.f64 re 1) (cos.f64 im) (.f64 (cos.f64 im) (+.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 re (.f64 re 1/2)))))
(.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (exp.f64 re))
(.f64 (+.f64 (.f64 im (*.f64 im -1/2)) 1) (exp.f64 re))
(.f64 (+.f64 1 (.f64 im (*.f64 im -1/2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 im (.f64 im -1/2)) (.f64 1/24 (pow.f64 im 4)))))
(.f64 (exp.f64 re) (+.f64 (.f64 im (.f64 im -1/2)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (+.f64 (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)) (.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (fma.f64 (.f64 (exp.f64 re) -1/720) (pow.f64 im 6) (exp.f64 re))))
(+.f64 (.f64 (+.f64 (.f64 -1/720 (pow.f64 im 6)) 1) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 im (.f64 im -1/2)) (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/720 (pow.f64 im 6))) (.f64 im (*.f64 im -1/2)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (cos.f64 im))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (.f64 (cos.f64 im) re) (exp.f64 (cos.f64 im))))
(.f64 (+.f64 (.f64 (cos.f64 im) re) 1) (exp.f64 (cos.f64 im)))
(*.f64 (exp.f64 (cos.f64 im)) (fma.f64 (cos.f64 im) re 1))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2)))))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (cos.f64 im) re) (.f64 (.f64 re re) (*.f64 1/2 (+.f64 (pow.f64 (cos.f64 im) 2) (cos.f64 im)))))))
(fma.f64 (exp.f64 (cos.f64 im)) (fma.f64 (cos.f64 im) re (.f64 (.f64 re re) (*.f64 1/2 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im))))) (exp.f64 (cos.f64 im)))
(.f64 (+.f64 (.f64 re (+.f64 (cos.f64 im) (.f64 (.f64 re 1/2) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))))) 1) (exp.f64 (cos.f64 im)))
(.f64 (+.f64 1 (.f64 (cos.f64 im) (+.f64 re (.f64 (.f64 re (*.f64 re 1/2)) (+.f64 (cos.f64 im) 1))))) (exp.f64 (cos.f64 im)))
(.f64 (+.f64 1 (.f64 (cos.f64 im) (+.f64 re (.f64 (+.f64 (cos.f64 im) 1) (.f64 re (*.f64 re 1/2)))))) (exp.f64 (cos.f64 im)))
(+.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re)) (+.f64 (.f64 (exp.f64 (cos.f64 im)) (.f64 (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (.f64 1/2 (cos.f64 im))) (pow.f64 re 2))) (.f64 (exp.f64 (cos.f64 im)) (.f64 (pow.f64 re 3) (+.f64 (.f64 1/6 (cos.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (cos.f64 im) 2)) (*.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))))
(+.f64 (exp.f64 (cos.f64 im)) (fma.f64 (exp.f64 (cos.f64 im)) (.f64 (cos.f64 im) re) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (.f64 re re) (.f64 1/2 (+.f64 (pow.f64 (cos.f64 im) 2) (cos.f64 im)))) (.f64 (pow.f64 re 3) (fma.f64 1/6 (cos.f64 im) (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (*.f64 1/6 (pow.f64 (cos.f64 im) 3)))))))))
(+.f64 (exp.f64 (cos.f64 im)) (.f64 (exp.f64 (cos.f64 im)) (+.f64 (fma.f64 (cos.f64 im) re (.f64 (.f64 re re) (.f64 1/2 (fma.f64 (cos.f64 im) (cos.f64 im) (cos.f64 im))))) (.f64 (pow.f64 re 3) (fma.f64 (cos.f64 im) 1/6 (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (.f64 1/6 (pow.f64 (cos.f64 im) 3))))))))
(.f64 (exp.f64 (cos.f64 im)) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/2 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 2))) (.f64 re (fma.f64 1/2 (pow.f64 (cos.f64 im) 2) (.f64 1/6 (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) 3))))))) (fma.f64 (cos.f64 im) re 1)))
(.f64 (+.f64 (.f64 re (+.f64 (cos.f64 im) (.f64 re (+.f64 (.f64 (cos.f64 im) (+.f64 1/2 (.f64 (cos.f64 im) 1/2))) (.f64 re (.f64 (cos.f64 im) (+.f64 1/6 (.f64 (cos.f64 im) (+.f64 1/2 (*.f64 (cos.f64 im) 1/6)))))))))) 1) (exp.f64 (cos.f64 im)))
(exp.f64 (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (*.f64 im im) (exp.f64 (exp.f64 re)))) (exp.f64 (exp.f64 re)))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 (+.f64 re (exp.f64 re)))) (exp.f64 (exp.f64 re)))
(.f64 (+.f64 (.f64 (exp.f64 re) (.f64 im (.f64 im -1/2))) 1) (exp.f64 (exp.f64 re)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re))))
(fma.f64 (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (.f64 (exp.f64 re) 1/24)) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re))) (fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (*.f64 im im) (exp.f64 (exp.f64 re)))) (exp.f64 (exp.f64 re))))
(fma.f64 (fma.f64 (exp.f64 re) 1/24 (.f64 1/8 (pow.f64 (exp.f64 re) 2))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re))) (fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 (+.f64 re (exp.f64 re)))) (exp.f64 (exp.f64 re))))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 (+.f64 re (exp.f64 re))))) (.f64 (+.f64 (.f64 (pow.f64 im 4) (.f64 (exp.f64 re) (+.f64 1/24 (.f64 (exp.f64 re) 1/8)))) 1) (exp.f64 (exp.f64 re))))
(.f64 (exp.f64 (exp.f64 re)) (+.f64 (+.f64 (.f64 (exp.f64 re) (.f64 im (.f64 im -1/2))) 1) (.f64 (pow.f64 im 4) (.f64 (exp.f64 re) (+.f64 1/24 (*.f64 (exp.f64 re) 1/8))))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (exp.f64 re))) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 2)) (+.f64 (.f64 -1/48 (pow.f64 (exp.f64 re) 3)) (.f64 -1/720 (exp.f64 re)))) (.f64 (pow.f64 im 6) (exp.f64 (exp.f64 re)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (.f64 (exp.f64 (exp.f64 re)) (pow.f64 im 2)))) (exp.f64 (exp.f64 re)))))
(fma.f64 (fma.f64 1/8 (pow.f64 (exp.f64 re) 2) (.f64 (exp.f64 re) 1/24)) (.f64 (pow.f64 im 4) (exp.f64 (exp.f64 re))) (fma.f64 (fma.f64 -1/48 (pow.f64 (exp.f64 re) 2) (fma.f64 -1/48 (pow.f64 (exp.f64 re) 3) (.f64 (exp.f64 re) -1/720))) (.f64 (pow.f64 im 6) (exp.f64 (exp.f64 re))) (fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 (*.f64 im im) (exp.f64 (exp.f64 re)))) (exp.f64 (exp.f64 re)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 (+.f64 re (exp.f64 re)))) (exp.f64 (exp.f64 re))) (.f64 (exp.f64 (exp.f64 re)) (+.f64 (.f64 (pow.f64 im 4) (fma.f64 (exp.f64 re) 1/24 (.f64 1/8 (pow.f64 (exp.f64 re) 2)))) (.f64 (pow.f64 im 6) (fma.f64 (pow.f64 (exp.f64 re) 2) -1/48 (fma.f64 (exp.f64 re) -1/720 (*.f64 -1/48 (pow.f64 (exp.f64 re) 3))))))))
(fma.f64 (exp.f64 (exp.f64 re)) (fma.f64 (pow.f64 im 4) (.f64 (exp.f64 re) (+.f64 1/24 (.f64 (exp.f64 re) 1/8))) (.f64 (pow.f64 im 6) (fma.f64 -1/48 (pow.f64 (exp.f64 re) 3) (.f64 (exp.f64 re) (+.f64 -1/720 (.f64 (exp.f64 re) -1/48)))))) (.f64 (+.f64 (.f64 (exp.f64 re) (.f64 im (*.f64 im -1/2))) 1) (exp.f64 (exp.f64 re))))
(.f64 (exp.f64 (exp.f64 re)) (+.f64 (+.f64 (.f64 (exp.f64 re) (.f64 im (.f64 im -1/2))) 1) (fma.f64 (pow.f64 im 4) (.f64 (exp.f64 re) (+.f64 1/24 (.f64 (exp.f64 re) 1/8))) (.f64 (pow.f64 im 6) (.f64 (exp.f64 re) (+.f64 -1/720 (*.f64 -1/48 (+.f64 (exp.f64 re) (pow.f64 (exp.f64 2) re)))))))))

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 40 to 21 computations (47.5% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`fma-def_binary64`
568×	`log-prod_binary64`
440×	`pow-prod-down_binary64`
319×	`fma-neg_binary64`
308×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	243	34
2	3392	30

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 re (fma.f64 1/2 re 1)) (cos.f64 im)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) 1) (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (*.f64 re (fma.f64 1/2 re 1))) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 1/2 re 1) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 1/2 re 1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 1/2 re 1) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 1/2 re 1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 im) 3) (*.f64 (pow.f64 re 6) 1/8)) (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 2) (*.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) 2) (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 2)) (-.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (cos.f64 im)) (fma.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))) (*.f64 (pow.f64 re 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (+.f64 re 1) 2)) (cos.f64 im)) (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3))) (fma.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))) (*.f64 (pow.f64 re 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (-.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (+.f64 re 1) 2))) (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 1/2 re 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) (exp.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) (+.f64 re 1) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) (*.f64 re (fma.f64 1/2 re 1)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re re) (*.f64 1/2 (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 re re)) (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 re 1) (cos.f64 im) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (*.f64 (cbrt.f64 (+.f64 re 1)) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (cbrt.f64 (cos.f64 im)) (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (cbrt.f64 (cos.f64 im)) (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 re 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 re re))) (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 re 1)) (*.f64 (sqrt.f64 (+.f64 re 1)) (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sqrt.f64 1/2)) (*.f64 (*.f64 re (sqrt.f64 1/2)) (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))) 1 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 re) (*.f64 re (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (fma.f64 1/2 re 1)) (cos.f64 im) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re)))) 2) (cbrt.f64 (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re)))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 2) (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 re (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 re (sqrt.f64 1/2))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) 1/2) (*.f64 re re) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (*.f64 re re)) 1/2 (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (cbrt.f64 (*.f64 (pow.f64 re 4) 1/4))) (cbrt.f64 (*.f64 1/2 (*.f64 re re))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (*.f64 re (sqrt.f64 1/2))) (*.f64 re (sqrt.f64 1/2)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (*.f64 1/2 re)) re (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 re (sqrt.f64 1/2)) (cbrt.f64 (cos.f64 im))) 2) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 (*.f64 re re)) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (pow.f64 (cbrt.f64 (+.f64 re 1)) 2)) (cbrt.f64 (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (sqrt.f64 (+.f64 re 1))) (sqrt.f64 (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 re 1) (pow.f64 (cbrt.f64 (cos.f64 im)) 2)) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 re 1) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 1/2 re 1) 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 re (fma.f64 1/2 re 1) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 re 4) 1/4) (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re)) (/.f64 (pow.f64 (+.f64 re 1) 2) (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 re (fma.f64 1/2 re 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 re (fma.f64 1/2 re 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)) (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)) 2) (cbrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)) (sqrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (/.f64 1 (fma.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))) (*.f64 (pow.f64 re 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (+.f64 re 1) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))) (*.f64 (pow.f64 re 4) 1/4)) (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re) (-.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (+.f64 re 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (fma.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))) (*.f64 (pow.f64 re 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (+.f64 (pow.f64 (+.f64 re 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 re (fma.f64 1/2 re 1)) 2) 1) (fma.f64 re (fma.f64 1/2 re 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 re (fma.f64 1/2 re 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 re (fma.f64 1/2 re 1) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 re (fma.f64 1/2 re 1) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))) (*.f64 (pow.f64 re 4) 1/4)) (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 1/2 (*.f64 re re) -1) re) (-.f64 (*.f64 (pow.f64 re 4) 1/4) (pow.f64 (+.f64 re 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 re (fma.f64 1/2 re 1) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 re (fma.f64 1/2 re 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 re re)))) (exp.f64 (+.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (*.f64 re re))) (+.f64 1 (expm1.f64 (+.f64 re 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 re re)))) (+.f64 1 (expm1.f64 (+.f64 re 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 re 1))) (sqrt.f64 (exp.f64 (*.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 re 1)) (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 re 1))) (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 re (fma.f64 1/2 re 1) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 re re) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re 1 (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (*.f64 1/2 re) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (fma.f64 1/2 re 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re re) 1/2 (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 re re)) 1 (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 re re)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 re 1) (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 re (fma.f64 1/2 re 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 re 1) 1 (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (*.f64 (cbrt.f64 re) 1) (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 re 1)) (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (cbrt.f64 (+.f64 re 1)) (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 re) re) (*.f64 (pow.f64 (cbrt.f64 re) 2) 1/2) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 re re))) (cbrt.f64 (*.f64 (pow.f64 re 4) 1/4)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 re 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 re re))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) 1) (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (+.f64 re 1)) (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sqrt.f64 1/2)) (*.f64 re (sqrt.f64 1/2)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 re re -1) (/.f64 1 (+.f64 re -1)) (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 re) re (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (fma.f64 1/2 re 1)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (fma.f64 1/2 re 1))) 2) (cbrt.f64 (*.f64 re (fma.f64 1/2 re 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 re) re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) (+.f64 1 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 re (fma.f64 1/2 re 1))) (sqrt.f64 (*.f64 re (fma.f64 1/2 re 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 re 1) re 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 re) re)) (pow.f64 (cbrt.f64 re) 2) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 re) 1) re (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 re) (pow.f64 (cbrt.f64 re) 2)) (cbrt.f64 re) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 re) (sqrt.f64 re)) (sqrt.f64 re) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 re (fma.f64 1/2 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 re (fma.f64 1/2 re 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 re (fma.f64 1/2 re 1) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 re re)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (*.f64 re re))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (*.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 re re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 re 4) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 re re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 re (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 re 6) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 re 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 re 6) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 re) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 re) (log.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 re re))))))))

simplify133.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

978×	`distribute-rgt-in_binary64`
807×	`distribute-lft-in_binary64`
561×	`sqr-pow_binary64`
448×	`*-commutative_binary64`
321×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	649
1	121	645
2	404	609
3	1853	588
4	3548	578
5	4294	578
6	4446	578
7	4617	578
8	4787	578
9	5009	578
10	6754	578
11	7161	578
12	7598	578

Stop Event

1×	node limit

Counts

204 → 181

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 2 re) 1)
✓	0.0b	(-.f64 (+.f64 2 re) 1)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	re	@	0	(-.f64 (+.f64 2 re) 1)
0.0ms	re	@	inf	(-.f64 (+.f64 2 re) 1)
0.0ms	re	@	-inf	(-.f64 (+.f64 2 re) 1)

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`pow1_binary64`
680×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	4
2	1817	4

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 2 re) 1)

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	39
1	7	39

Stop Event

1×

saturated

Counts

49 → 40

Calls

Call 1

Inputs
1
(+.f64 1 re)
(+.f64 1 re)
(+.f64 1 re)
re
(+.f64 1 re)
(+.f64 1 re)
(+.f64 1 re)
re
(+.f64 1 re)
(+.f64 1 re)
(+.f64 1 re)

Outputs
1
(+.f64 1 re)
(+.f64 1 re)
(+.f64 1 re)
re
(+.f64 1 re)
(+.f64 1 re)
(+.f64 1 re)
re
(+.f64 1 re)
(+.f64 1 re)
(+.f64 1 re)

eval103.0ms (2%)

Compiler: Compiled 5152 to 2963 computations (42.5% saved)

prune57.0ms (1.1%)

Pruning

19 alts after pruning (5 fresh and 14 done)

	Pruned	Kept	Total
New	338	5	343
Fresh	1	0	1
Picked	0	1	1
Done	0	13	13
Total	339	19	358

Error

Counts

358 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.9b	(*.f64 (cos.f64 im) (+.f64 re 1))
	26.0b	(.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1)))
✓	25.8b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
✓	26.0b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
✓	43.9b	(+.f64 1 re)
	61.9b	re
✓	43.9b	(-.f64 (+.f64 2 re) 1)
	60.7b	(-.f64 re 1)
✓	26.0b	(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1)))
✓	0.7b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
	43.9b	1
✓	60.6b	(-.f64 (*.f64 (cos.f64 im) re) 1)
✓	18.8b	(exp.f64 re)
✓	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
✓	26.2b	(+.f64 re (cos.f64 im))
✓	26.2b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	61.8b	(*.f64 (cos.f64 im) re)
	62.0b	(.f64 (cos.f64 im) (.f64 1/2 (*.f64 re re)))

Compiler

Compiled 148 to 110 computations (25.7% saved)

regimes42.0ms (0.8%)

Counts

19 → 1

Calls

Call 1

Inputs
1
re
(-.f64 re 1)
(+.f64 1 re)
(-.f64 (+.f64 2 re) 1)
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(+.f64 re (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) re) 1)
(*.f64 (cos.f64 im) (+.f64 re 1))
(.f64 (cos.f64 im) (.f64 1/2 (*.f64 re re)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1)))
(.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1)))
(*.f64 (exp.f64 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

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

Calls

5 calls:

10.0ms	im
9.0ms	re
8.0ms	(cos.f64 im)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 133 to 68 computations (48.9% saved)

regimes99.0ms (1.9%)

Counts

15 → 2

Calls

Call 1

Inputs
1
re
(-.f64 re 1)
(+.f64 1 re)
(-.f64 (+.f64 2 re) 1)
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(+.f64 re (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) re) 1)
(*.f64 (cos.f64 im) (+.f64 re 1))
(.f64 (cos.f64 im) (.f64 1/2 (*.f64 re re)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1)))
(.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1)))

Outputs
(exp.f64 re)
(.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1)))

Calls

5 calls:

37.0ms	(cos.f64 im)
35.0ms	im
15.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
9.5b	5	`im`
0.6b	2	`(exp.f64 re)`
0.6b	2	`(exp.f64 re)`
8.8b	6	`(cos.f64 im)`

Compiler

Compiled 103 to 59 computations (42.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.068304995694338e-44	0.9967433397550199

Compiler

Compiled 12 to 9 computations (25% saved)

regimes93.0ms (1.8%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	(cos.f64 im)
33.0ms	im
15.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.7b	2	`re`
9.5b	5	`im`
0.7b	2	`(exp.f64 re)`
0.7b	2	`(exp.f64 re)`
8.9b	6	`(cos.f64 im)`

Compiler

Compiled 87 to 50 computations (42.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.068304995694338e-44	0.9967433397550199

Compiler

Compiled 12 to 9 computations (25% saved)

regimes90.0ms (1.7%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	im
32.0ms	(cos.f64 im)
14.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.9b	2	`re`
9.6b	5	`im`
0.9b	2	`(exp.f64 re)`
0.9b	2	`(exp.f64 re)`
9.0b	6	`(cos.f64 im)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.068304995694338e-44	0.9967433397550199

Compiler

Compiled 12 to 9 computations (25% saved)

regimes94.0ms (1.8%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(exp.f64 re)
(+.f64 re (cos.f64 im))

Calls

5 calls:

43.0ms	im
27.0ms	(cos.f64 im)
14.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.2b	2	`re`
9.7b	5	`im`
1.2b	2	`(exp.f64 re)`
1.2b	2	`(exp.f64 re)`
9.1b	6	`(cos.f64 im)`

Compiler

Compiled 51 to 30 computations (41.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.068304995694338e-44	0.9967433397550199

Compiler

Compiled 12 to 9 computations (25% saved)

regimes121.0ms (2.3%)

Counts

8 → 2

Calls

Call 1

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

Outputs
(exp.f64 re)
(cos.f64 im)

Calls

4 calls:

63.0ms	re
26.0ms	im
25.0ms	(cos.f64 im)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.4b	2	`re`
9.7b	5	`im`
1.4b	2	`(exp.f64 re)`
9.1b	6	`(cos.f64 im)`

Compiler

Compiled 37 to 24 computations (35.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999896	1.0

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1
re
(-.f64 re 1)
(+.f64 1 re)
(-.f64 (+.f64 2 re) 1)
(cos.f64 im)

Outputs
(cos.f64 im)

Calls

3 calls:

6.0ms	re
5.0ms	im
4.0ms	(cos.f64 im)

Results

Error	Segments	Branch
26.2b	1	`re`
26.2b	1	`im`
26.2b	1	`(cos.f64 im)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes11.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
1
re
(-.f64 re 1)
(+.f64 1 re)
(-.f64 (+.f64 2 re) 1)

Outputs
(-.f64 (+.f64 2 re) 1)

Calls

2 calls:

5.0ms	im
5.0ms	re

Results

Error	Segments	Branch
43.9b	1	`re`
43.9b	1	`im`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes10.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
1
re
(-.f64 re 1)
(+.f64 1 re)

Outputs
(+.f64 1 re)

Calls

2 calls:

4.0ms	re
4.0ms	im

Results

Error	Segments	Branch
43.9b	1	`re`
43.9b	1	`im`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.2%)

Accuracy

Total -18.9b remaining (-43.1%)

Threshold costs -18.9b (-43.1%)

Counts

3 → 1

Calls

Call 1

Inputs
1
re
(-.f64 re 1)

Outputs
1

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Error	Segments	Branch
43.9b	1	`re`
43.9b	1	`im`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
7×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	138
1	51	138
2	52	138

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (+.f64 re (cos.f64 im)))
(if (<=.f64 (exp.f64 re) 1) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(-.f64 (+.f64 2 re) 1)
(+.f64 1 re)
1

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/6 re) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (.f64 1/2 (*.f64 re re)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2))))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 8034690221294951/200867255532373784442745261542645325315275374222849104412672) (exp.f64 re) (+.f64 re (cos.f64 im)))
(if (<=.f64 (exp.f64 re) 1) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(-.f64 (+.f64 2 re) 1)
(+.f64 (+.f64 re 2) -1)
(+.f64 1 re)
(+.f64 re 1)
1

end173.0ms (3.3%)

Stop Event

1×

fuel

Compiler

Compiled 204 to 124 computations (39.2% saved)

Details

analyze61.0ms (1.2%)

sample2.2s (41.3%)

preprocess80.0ms (1.5%)

simplify9.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite37.0ms (0.7%)

simplify75.0ms (1.4%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

localize46.0ms (0.9%)

series8.0ms (0.1%)

rewrite55.0ms (1.1%)

simplify87.0ms (1.7%)

localize3.0ms (0%)

localize3.0ms (0.1%)

localize8.0ms (0.1%)

series13.0ms (0.3%)

rewrite42.0ms (0.8%)

simplify168.0ms (3.2%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite54.0ms (1%)

simplify72.0ms (1.4%)

eval80.0ms (1.5%)

prune35.0ms (0.7%)

localize12.0ms (0.2%)

series173.0ms (3.3%)

rewrite48.0ms (0.9%)

simplify69.0ms (1.3%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite0.0ms (0%)

simplify6.0ms (0.1%)

localize5.0ms (0.1%)

localize29.0ms (0.5%)

series7.0ms (0.1%)

rewrite79.0ms (1.5%)

simplify153.0ms (2.9%)

eval98.0ms (1.9%)

prune50.0ms (0.9%)

localize8.0ms (0.1%)

rewrite0.0ms (0%)

simplify6.0ms (0.1%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite43.0ms (0.8%)

simplify91.0ms (1.7%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

rewrite69.0ms (1.3%)

simplify133.0ms (2.5%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite47.0ms (0.9%)

simplify7.0ms (0.1%)

eval103.0ms (2%)

prune57.0ms (1.1%)

regimes42.0ms (0.8%)

regimes99.0ms (1.9%)

bsearch0.0ms (0%)

regimes93.0ms (1.8%)

bsearch0.0ms (0%)

regimes90.0ms (1.7%)

bsearch0.0ms (0%)

regimes94.0ms (1.8%)

bsearch0.0ms (0%)

regimes121.0ms (2.3%)

bsearch0.0ms (0%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.2%)

simplify4.0ms (0.1%)

end173.0ms (3.3%)

Profiling