Details

analyze55.0ms (0.8%)

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)

sample2.7s (38.4%)

Results

1.3s	6185×	body	256	valid
695.0ms	1392×	body	1024	valid
328.0ms	681×	body	1024	invalid
194.0ms	673×	body	512	valid
98.0ms	440×	body	256	invalid
78.0ms	324×	body	512	invalid
3.0ms	6×	body	2048	valid

preprocess28.0ms (0.4%)

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)

simplify11.0ms (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))

eval1.0ms (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)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series7.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite159.0ms (2.3%)

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 expm1.f64 (log1p.f64 (.f64 (exp.f64 re) (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 exp.f64 (+.f64 re (log.f64 (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 expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (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 exp.f64 (+.f64 re (log.f64 (cos.f64 im))))))))

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
587×	`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	869	122
4	3456	118
5	5851	118
6	7287	118
7	7711	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 re (.f64 re 1/2) (+.f64 re 1)))
(.f64 (cos.f64 im) (+.f64 re (fma.f64 re (.f64 re 1/2) 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 (+.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 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
(.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))
(.f64 (+.f64 (.f64 im (*.f64 im -1/2)) 1) (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)))
(+.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 -1/2 (*.f64 im im)) (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 (.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 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6)) (exp.f64 re))))
(+.f64 (.f64 (+.f64 (.f64 im (.f64 im -1/2)) 1) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 1/24 (pow.f64 im 4)))))
(fma.f64 (exp.f64 re) (fma.f64 im (.f64 im -1/2) (.f64 1/24 (pow.f64 im 4))) (*.f64 (exp.f64 re) (fma.f64 -1/720 (pow.f64 im 6) 1)))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/720 (pow.f64 im 6) 1) (fma.f64 im (.f64 im -1/2) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 im (.f64 im -1/2) 1) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6)))))

eval11.0ms (0.2%)

Compiler: Compiled 275 to 141 computations (48.7% saved)

prune18.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Error

Counts

26 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 3)
▶	23.6b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
	10.5b	(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)
▶	23.8b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	17.6b	(exp.f64 re)
▶	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
▶	23.6b	(*.f64 (cos.f64 im) (+.f64 re 1))

Compiler

Compiled 117 to 87 computations (25.6% saved)

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
✓	0.1b	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series309.0ms (4.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
114.0ms	re	@	-inf	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
68.0ms	im	@	-inf	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
66.0ms	im	@	inf	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
52.0ms	re	@	inf	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
3.0ms	im	@	0	(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
559×	`expm1-log1p-u_binary64`
558×	`add-log-exp_binary64`
558×	`log1p-expm1-u_binary64`
544×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	134	18
2	1533	18

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

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

Outputs

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

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

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
492×	`fma-def_binary64`
398×	`associate-l_binary64`
397×	`associate-r_binary64`
366×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	875
1	308	868
2	1011	846
3	5099	827

Stop Event

1×	node limit

Counts

91 → 75

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (cos.f64 im)))
(+.f64 (/.f64 (*.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (log.f64 (+.f64 1 (cos.f64 im))))
(+.f64 (/.f64 (.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)))) (pow.f64 re 2))) (log.f64 (+.f64 1 (cos.f64 im)))))
(+.f64 (/.f64 (.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)))) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (+.f64 (.f64 -3 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2))) (.f64 2 (/.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 (cos.f64 im)) 3))))))) (log.f64 (+.f64 1 (cos.f64 im))))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (exp.f64 re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 re) (pow.f64 im 2)) (+.f64 1 (exp.f64 re)))) (log.f64 (+.f64 1 (exp.f64 re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 re) (pow.f64 im 2)) (+.f64 1 (exp.f64 re)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2))) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4))) (log.f64 (+.f64 1 (exp.f64 re)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 re) (pow.f64 im 2)) (+.f64 1 (exp.f64 re)))) (+.f64 (.f64 1/720 (.f64 (pow.f64 im 6) (+.f64 (.f64 -1 (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (+.f64 (.f64 15 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2))) (.f64 -30 (/.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (+.f64 1 (exp.f64 re)) 3))))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2))) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4))) (log.f64 (+.f64 1 (exp.f64 re))))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(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
(log.f64 (+.f64 1 (cos.f64 im)))
(log1p.f64 (cos.f64 im))
(+.f64 (/.f64 (*.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (log.f64 (+.f64 1 (cos.f64 im))))
(+.f64 (log1p.f64 (cos.f64 im)) (/.f64 (*.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))))
(+.f64 (log1p.f64 (cos.f64 im)) (*.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re))
(fma.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re (log1p.f64 (cos.f64 im)))
(+.f64 (/.f64 (.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)))) (pow.f64 re 2))) (log.f64 (+.f64 1 (cos.f64 im)))))
(+.f64 (/.f64 (.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (fma.f64 1/2 (.f64 (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (neg.f64 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)))) (*.f64 re re)) (log1p.f64 (cos.f64 im))))
(+.f64 (.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re) (fma.f64 1/2 (.f64 (-.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2))) (*.f64 re re)) (log1p.f64 (cos.f64 im))))
(fma.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re (fma.f64 (-.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2))) (.f64 re (.f64 re 1/2)) (log1p.f64 (cos.f64 im))))
(fma.f64 (.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) (+.f64 1 (cos.f64 im))) 1) (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im)))) (.f64 re (*.f64 re 1/2)) (fma.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re (log1p.f64 (cos.f64 im))))
(+.f64 (/.f64 (.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (+.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (.f64 -1 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)))) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (+.f64 (.f64 -3 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2))) (.f64 2 (/.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 (cos.f64 im)) 3))))))) (log.f64 (+.f64 1 (cos.f64 im))))))
(+.f64 (/.f64 (.f64 (cos.f64 im) re) (+.f64 1 (cos.f64 im))) (fma.f64 1/2 (.f64 (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (neg.f64 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)))) (.f64 re re)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (fma.f64 -3 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)) (/.f64 (*.f64 2 (pow.f64 (cos.f64 im) 3)) (pow.f64 (+.f64 1 (cos.f64 im)) 3))))) (log1p.f64 (cos.f64 im)))))
(+.f64 (.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re) (fma.f64 1/2 (.f64 (-.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2))) (.f64 re re)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (+.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (fma.f64 2 (/.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 (cos.f64 im)) 3)) (*.f64 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)) -3)))) (log1p.f64 (cos.f64 im)))))
(fma.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re (fma.f64 (fma.f64 2 (pow.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) 3) (fma.f64 (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2)) -3 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))))) (.f64 1/6 (pow.f64 re 3)) (fma.f64 (-.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (+.f64 1 (cos.f64 im)) 2))) (.f64 re (*.f64 re 1/2)) (log1p.f64 (cos.f64 im)))))
(fma.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) re (fma.f64 (fma.f64 2 (pow.f64 (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))) 3) (.f64 (+.f64 (/.f64 (.f64 (cos.f64 im) -3) (+.f64 1 (cos.f64 im))) 1) (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im))))) (.f64 1/6 (pow.f64 re 3)) (fma.f64 1/2 (.f64 (.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) (+.f64 1 (cos.f64 im))) 1) (/.f64 (cos.f64 im) (+.f64 1 (cos.f64 im)))) (.f64 re re)) (log1p.f64 (cos.f64 im)))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (exp.f64 re)))
(log1p.f64 (exp.f64 re))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 re) (pow.f64 im 2)) (+.f64 1 (exp.f64 re)))) (log.f64 (+.f64 1 (exp.f64 re))))
(fma.f64 -1/2 (/.f64 (exp.f64 re) (/.f64 (+.f64 1 (exp.f64 re)) (*.f64 im im))) (log1p.f64 (exp.f64 re)))
(fma.f64 -1/2 (/.f64 (*.f64 im im) (/.f64 (+.f64 1 (exp.f64 re)) (exp.f64 re))) (log1p.f64 (exp.f64 re)))
(fma.f64 -1/2 (.f64 (.f64 im im) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (log1p.f64 (exp.f64 re)))
(fma.f64 -1/2 (*.f64 (/.f64 (exp.f64 re) (/.f64 (+.f64 1 (exp.f64 re)) im)) im) (log1p.f64 (exp.f64 re)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 re) (pow.f64 im 2)) (+.f64 1 (exp.f64 re)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2))) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4))) (log.f64 (+.f64 1 (exp.f64 re)))))
(fma.f64 -1/2 (/.f64 (exp.f64 re) (/.f64 (+.f64 1 (exp.f64 re)) (.f64 im im))) (fma.f64 1/24 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4)) (log1p.f64 (exp.f64 re))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (/.f64 (+.f64 1 (exp.f64 re)) (exp.f64 re))) (fma.f64 1/24 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4)) (log1p.f64 (exp.f64 re))))
(fma.f64 -1/2 (.f64 (.f64 im im) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (fma.f64 (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (*.f64 1/24 (pow.f64 im 4)) (log1p.f64 (exp.f64 re))))
(fma.f64 -1/2 (.f64 (/.f64 (exp.f64 re) (/.f64 (+.f64 1 (exp.f64 re)) im)) im) (fma.f64 (.f64 (+.f64 (/.f64 (.f64 -3 (exp.f64 re)) (+.f64 1 (exp.f64 re))) 1) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (.f64 1/24 (pow.f64 im 4)) (log1p.f64 (exp.f64 re))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (exp.f64 re) (pow.f64 im 2)) (+.f64 1 (exp.f64 re)))) (+.f64 (.f64 1/720 (.f64 (pow.f64 im 6) (+.f64 (.f64 -1 (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (+.f64 (.f64 15 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2))) (.f64 -30 (/.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (+.f64 1 (exp.f64 re)) 3))))))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2))) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4))) (log.f64 (+.f64 1 (exp.f64 re))))))
(fma.f64 -1/2 (/.f64 (exp.f64 re) (/.f64 (+.f64 1 (exp.f64 re)) (.f64 im im))) (fma.f64 1/720 (.f64 (pow.f64 im 6) (fma.f64 -1 (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re))) (fma.f64 15 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (.f64 -30 (pow.f64 (exp.f64 re) 3)) (pow.f64 (+.f64 1 (exp.f64 re)) 3))))) (fma.f64 1/24 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4)) (log1p.f64 (exp.f64 re)))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (/.f64 (+.f64 1 (exp.f64 re)) (exp.f64 re))) (fma.f64 1/720 (.f64 (pow.f64 im 6) (-.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) 15 (.f64 -30 (/.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (+.f64 1 (exp.f64 re)) 3)))) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re))))) (fma.f64 1/24 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4)) (log1p.f64 (exp.f64 re)))))
(fma.f64 -1/2 (.f64 (.f64 im im) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (fma.f64 1/24 (.f64 (fma.f64 -3 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (pow.f64 im 4)) (fma.f64 1/720 (.f64 (pow.f64 im 6) (-.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 (+.f64 1 (exp.f64 re)) 2)) 15 (*.f64 -30 (pow.f64 (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re))) 3))) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re))))) (log1p.f64 (exp.f64 re)))))
(fma.f64 -1/2 (.f64 (/.f64 (exp.f64 re) (/.f64 (+.f64 1 (exp.f64 re)) im)) im) (fma.f64 (.f64 (+.f64 (/.f64 (.f64 -3 (exp.f64 re)) (+.f64 1 (exp.f64 re))) 1) (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re)))) (.f64 1/24 (pow.f64 im 4)) (fma.f64 1/720 (.f64 (pow.f64 im 6) (fma.f64 -30 (pow.f64 (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re))) 3) (.f64 (/.f64 (exp.f64 re) (+.f64 1 (exp.f64 re))) (+.f64 -1 (/.f64 (*.f64 (exp.f64 re) 15) (+.f64 1 (exp.f64 re))))))) (log1p.f64 (exp.f64 re)))))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(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 1 re))
(+.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 re (.f64 (cos.f64 im) re)) (*.f64 (+.f64 re 1) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (+.f64 re (+.f64 (.f64 re (*.f64 re 1/2)) 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 re (.f64 (cos.f64 im) 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 1 re))))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(*.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 -1/2 (.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 (.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 (exp.f64 re) (.f64 im im)) (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 (.f64 (+.f64 (.f64 im (.f64 im -1/2)) 1) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 (pow.f64 im 6) -1/720))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 (pow.f64 im 6) -1/720)) (.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))

localize4.0ms (0.1%)

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

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	1894	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 expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))))) (#(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 exp.f64 (+.f64 (log1p.f64 re) (log.f64 (cos.f64 im))))))) (#(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))))))

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
757×	`distribute-rgt-out_binary64`
630×	`distribute-rgt-in_binary64`
619×	`distribute-lft-in_binary64`
521×	`associate-l_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	30	268
1	78	262
2	249	250
3	914	243
4	3884	243
5	6204	243
6	6386	243
7	6625	243
8	6844	243
9	7117	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 (fma.f64 re -1/2 -1/2)) im re))
(.f64 (+.f64 1 re) (fma.f64 -1/2 (.f64 im 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 (fma.f64 re -1/2 -1/2)) im re)))
(.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (*.f64 im im)) (fma.f64 1/24 (pow.f64 im 4) 1)))
(.f64 (+.f64 1 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (fma.f64 -1/2 (*.f64 im im) 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 (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) (fma.f64 (*.f64 im (fma.f64 re -1/2 -1/2)) im re)))
(fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (*.f64 im im)) (fma.f64 -1/720 (pow.f64 im 6) 1))))
(fma.f64 (+.f64 1 re) (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))) (.f64 (+.f64 1 re) (fma.f64 -1/2 (*.f64 im im) 1)))
(.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))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.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))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (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))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (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))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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	@	inf	(*.f64 (cos.f64 im) re)
1.0ms	re	@	inf	(*.f64 (cos.f64 im) re)
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)

rewrite55.0ms (0.8%)

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	1789	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 expm1.f64 (log1p.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 exp.f64 (log.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 expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 1 re))))))) (#(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))))))

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-+l+_binary64`
554×	`associate-l_binary64`
425×	`associate-r_binary64`
381×	`associate-+r+_binary64`
318×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	165
1	120	161
2	307	161
3	1216	161
4	4523	161
5	5873	161
6	6227	161
7	7912	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 -1/2 (.f64 im im)) re)
(fma.f64 (.f64 re (.f64 -1/2 im)) im 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 -1/2 (.f64 im im)) (fma.f64 re (*.f64 1/24 (pow.f64 im 4)) re))
(fma.f64 re (.f64 1/24 (pow.f64 im 4)) (fma.f64 (.f64 re (*.f64 -1/2 im)) im 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 -1/2 (.f64 im im)) (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 -1/720 (pow.f64 im 6)) (+.f64 (.f64 -1/2 (.f64 im im)) (*.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))
(fma.f64 im (*.f64 im (fma.f64 re -1/2 -1/2)) (+.f64 re 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 (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))

eval90.0ms (1.3%)

Compiler: Compiled 2897 to 1482 computations (48.8% saved)

prune47.0ms (0.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	197	6	203
Fresh	2	0	2
Picked	0	1	1
Done	0	5	5
Total	199	12	211

Error

Counts

211 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	34.5b	(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3) 1/3)
✓	17.6b	(exp.f64 re)
▶	24.0b	(+.f64 re (cos.f64 im))
▶	23.9b	(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
✓	23.6b	(*.f64 (cos.f64 im) (+.f64 re 1))
▶	23.8b	(.f64 (cos.f64 im) (+.f64 re (+.f64 (.f64 re (*.f64 re 1/2)) 1)))
▶	40.8b	(+.f64 re 1)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
▶	23.9b	(/.f64 (*.f64 (fma.f64 re re -1) (cos.f64 im)) (+.f64 re -1))
✓	23.6b	(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
✓	23.8b	(cos.f64 im)

Compiler

Compiled 177 to 129 computations (27.1% saved)

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 44 to 28 computations (36.4% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite151.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
490×	`fma-def_binary64`
441×	`pow-prod-down_binary64`
311×	`pow2_binary64`
266×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	242	16
2	3360	14

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify171.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

948×	`distribute-rgt-in_binary64`
792×	`distribute-lft-in_binary64`
540×	`sqr-pow_binary64`
445×	`*-commutative_binary64`
322×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	464
1	118	460
2	402	424
3	1871	403
4	3505	393
5	4273	393
6	4425	393
7	4596	393
8	4764	393
9	4986	393
10	6731	393
11	7140	393
12	7583	393

Stop Event

1×	node limit

Counts

82 → 76

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)))

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6))))
✓	0.0b	(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
✓	0.1b	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6)))
✓	0.3b	(*.f64 re 1/6)

Compiler

Compiled 61 to 37 computations (39.3% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite225.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`fma-def_binary64`
752×	`log-prod_binary64`
315×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	318	50
2	4650	50

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 re 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) re)) (cbrt.f64 (pow.f64 (exp.f64 1/6) re)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 re 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 re 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 re 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 re 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 re 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 re 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 re 1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 (.f64 1/2 re) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 re) re) (.f64 1/6 (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 1/2 re) re) 1) (.f64 (.f64 1/6 (pow.f64 re 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 1/2 re) re) 3) (pow.f64 (.f64 1/6 (pow.f64 re 3)) 3)) (fma.f64 (.f64 (.f64 1/2 re) re) (.f64 (.f64 1/2 re) re) (-.f64 (.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 1/6 (pow.f64 re 3))) (.f64 (.f64 (.f64 1/2 re) re) (.f64 1/6 (pow.f64 re 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 1/2 re) re) (.f64 (.f64 1/2 re) re)) (.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 1/6 (pow.f64 re 3)))) (-.f64 (.f64 (.f64 1/2 re) re) (.f64 1/6 (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/216 (pow.f64 re 3) 1/8) (.f64 re re)) (fma.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 re 1/6) 2)) (.f64 re re)) (+.f64 1/2 (.f64 -1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (fma.f64 1/216 (pow.f64 re 3) 1/8)) (fma.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2) 1/4))))) 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fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 re re) (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 re 1/6 1/2) (.f64 re re) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1 (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (+.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 1/2 re) re) (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 re 1) 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) (cbrt.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2))) (cbrt.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 re 4)) (.f64 (pow.f64 (cbrt.f64 re) 2) (fma.f64 re 1/6 1/2)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 re 4)) (.f64 (pow.f64 (cbrt.f64 re) 2) 1/2) (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (+.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (+.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 re 1)) (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (cbrt.f64 (+.f64 re 1)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 re 1/6 1/2)) 2) (.f64 (cbrt.f64 (fma.f64 re 1/6 1/2)) (.f64 re re)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (+.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 re)) (hypot.f64 1 (sqrt.f64 re)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 re 1/6 1/2)) (.f64 (sqrt.f64 (fma.f64 re 1/6 1/2)) (.f64 re re)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re 1) 1)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (-.f64 1 re)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (fma.f64 re 1/6 1/2)) re (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (cbrt.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re))) (cbrt.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 1/2 re) re)) (cbrt.f64 (.f64 (.f64 1/2 re) re))) (cbrt.f64 (.f64 (.f64 1/2 re) re)) (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sqrt.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 1/2 re) re)) (sqrt.f64 (.f64 (.f64 1/2 re) re)) (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re 4))) (sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) (+.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 re) re (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 re re) (pow.f64 (cbrt.f64 (fma.f64 re 1/6 1/2)) 2)) (cbrt.f64 (fma.f64 re 1/6 1/2)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 re re) (sqrt.f64 (fma.f64 re 1/6 1/2))) (sqrt.f64 (fma.f64 re 1/6 1/2)) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 re 1/6 1/2) (cbrt.f64 (pow.f64 re 4))) (pow.f64 (cbrt.f64 re) 2) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 re 4))) (pow.f64 (cbrt.f64 re) 2) (fma.f64 1/6 (pow.f64 re 3) (+.f64 re 1)))))))

simplify129.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1572×	`distribute-rgt-in_binary64`
1051×	`distribute-lft-in_binary64`
470×	`fma-def_binary64`
458×	`*-commutative_binary64`
298×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	965
1	189	878
2	597	780
3	3332	763
4	4120	750
5	4799	750
6	5009	750
7	5223	750
8	5418	750

Stop Event

1×	node limit

Counts

287 → 265

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fma.f64 re re -1) (cos.f64 im))
✓	12.2b	(/.f64 (*.f64 (fma.f64 re re -1) (cos.f64 im)) (+.f64 re -1))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
387×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
256×	`pow2_binary64`
180×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	19
2	2635	19

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

564×	`associate-+l+_binary64`
542×	`div-sub_binary64`
441×	`associate-+r+_binary64`
406×	`associate-/r*_binary64`
392×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	846
1	159	693
2	473	677
3	1745	586
4	7634	586

Stop Event

1×	node limit

Counts

139 → 120

Calls

Call 1

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

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

eval243.0ms (3.5%)

Compiler: Compiled 9097 to 5573 computations (38.7% saved)

prune94.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	458	3	461
Fresh	1	0	1
Picked	1	0	1
Done	2	8	10
Total	462	11	473

Error

Counts

473 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.8b	(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
✓	17.6b	(exp.f64 re)
✓	24.0b	(+.f64 re (cos.f64 im))
✓	23.9b	(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
▶	34.5b	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
▶	22.9b	(/.f64 (neg.f64 (cos.f64 im)) (+.f64 re -1))
✓	40.8b	(+.f64 re 1)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
✓	23.6b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	23.8b	(cos.f64 im)

Compiler

Compiled 96 to 72 computations (25% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
566×	`fma-def_binary64`
456×	`pow-prod-down_binary64`
311×	`pow2_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	240	27
2	3391	23

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

simplify150.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

948×	`distribute-rgt-in_binary64`
791×	`distribute-lft-in_binary64`
540×	`sqr-pow_binary64`
452×	`*-commutative_binary64`
320×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	565
1	121	561
2	404	525
3	1860	504
4	3513	494
5	4273	494
6	4425	494
7	4596	494
8	4764	494
9	4986	494
10	6731	494
11	7140	494
12	7581	494

Stop Event

1×	node limit

Counts

182 → 171

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))

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
779×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	173	9
2	2440	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-def_binary64`
454×	`unswap-sqr_binary64`
439×	`sub-neg_binary64`
347×	`fma-neg_binary64`
256×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	466
1	165	444
2	426	410
3	1294	387
4	5772	387

Stop Event

1×	node limit

Counts

62 → 63

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 re 1) (cos.f64 im))
✓	0.3b	(pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3)
✓	13.0b	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)

Compiler

Compiled 36 to 23 computations (36.1% saved)

series19.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	re	@	-inf	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
3.0ms	im	@	0	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
2.0ms	im	@	inf	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
2.0ms	re	@	0	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
2.0ms	im	@	-inf	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`pow1_binary64`
890×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
104×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	241	30
2	2549	30

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3)
(*.f64 (+.f64 re 1) (cos.f64 im))

Outputs

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

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

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

942×	`associate-/l*_binary64`
244×	`fma-def_binary64`
221×	`cancel-sign-sub-inv_binary64`
199×	`associate-r_binary64`
184×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2616
1	718	2432
2	3188	2151

Stop Event

1×	node limit

Counts

154 → 129

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 re 2) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (cos.f64 im) 2))) (+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 re 2) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (cos.f64 im) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 3) (pow.f64 (cos.f64 im) 2))))) (pow.f64 re 3)) (pow.f64 (cos.f64 im) 2))) (+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))))))
(*.f64 (cos.f64 im) re)
(+.f64 (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))) (.f64 (cos.f64 im) re))
(+.f64 (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/3 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3)))) (.f64 (pow.f64 (cos.f64 im) 2) re)))))
(+.f64 (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3)))) (.f64 (pow.f64 (cos.f64 im) 2) re))) (.f64 1/3 (/.f64 (-.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 3) (pow.f64 (cos.f64 im) 2))))) (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (cos.f64 im) re)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 im) re))) (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 im) 2))) 1/3))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 im) re))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -2 (pow.f64 (cos.f64 im) 3)) (.f64 -1 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 im))) 1/3)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (cos.f64 im) 2) re)))) (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 im) 2))) 1/3)))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (+.f64 (.f64 -2 (pow.f64 (cos.f64 im) 3)) (.f64 -1 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 im))) 1/3)))) (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (cos.f64 im) 5))) 1/3))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 im) 2)))) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (-.f64 (+.f64 (.f64 -2 (pow.f64 (cos.f64 im) 3)) (.f64 -1 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 im))) 1/3))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 (cos.f64 im) 5))) 1/3)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (cos.f64 im) re))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -2 (pow.f64 (cos.f64 im) 3)) (.f64 -1 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (cos.f64 im))) 1/3)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (pow.f64 (cos.f64 im) 2) re)))) (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cos.f64 im) 2))) 1/3))))))
(+.f64 1 re)
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2)) (pow.f64 (+.f64 1 re) 2))) re))
(+.f64 1 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) 2) (pow.f64 (+.f64 1 re) 3)))) (pow.f64 im 4)) (pow.f64 (+.f64 1 re) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2)) (pow.f64 (+.f64 1 re) 2))) re)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re))) (+.f64 (.f64 -1/720 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 -1/360 (pow.f64 (+.f64 1 re) 2)) (.f64 -1/24 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re))))) (+.f64 (.f64 2/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) 2) (pow.f64 (+.f64 1 re) 3))))) (pow.f64 (+.f64 1 re) 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) 3) (pow.f64 (+.f64 1 re) 6))))) (pow.f64 im 6)) (pow.f64 (+.f64 1 re) 2))) (+.f64 1 (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) 2) (pow.f64 (+.f64 1 re) 3)))) (pow.f64 im 4)) (pow.f64 (+.f64 1 re) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2)) (pow.f64 (+.f64 1 re) 2))) re))))
(*.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))
(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 (pow.f64 (cos.f64 im) 3) (.f64 2 (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 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2)))))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))
(+.f64 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (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 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2))))
(+.f64 (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 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2)))))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))
(+.f64 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 im) 3)) (.f64 -2 (pow.f64 (cos.f64 im) 3))) re)) (+.f64 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2))))
(+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (cos.f64 im) 3)) (.f64 -2 (pow.f64 (cos.f64 im) 3))) re)) (+.f64 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (*.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 re 2)))))
(pow.f64 (+.f64 1 re) 3)
(+.f64 (pow.f64 (+.f64 1 re) 3) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (*.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2)))
(+.f64 (pow.f64 (+.f64 1 re) 3) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)))) (pow.f64 im 4)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (*.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2))))
(+.f64 (pow.f64 (+.f64 1 re) 3) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)))) (pow.f64 im 4)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re))) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 (+.f64 1 re) 2)) (.f64 -1/24 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)) (.f64 -1/720 (pow.f64 (+.f64 1 re) 3))))) (pow.f64 im 6)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (*.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2)))))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(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 (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))

Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))))
(+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (.f64 re (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)))))))
(fma.f64 (.f64 (.f64 1 (pow.f64 (cos.f64 im) 3)) re) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (cos.f64 im))
(fma.f64 (*.f64 (pow.f64 (cos.f64 im) 3) re) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (cos.f64 im))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 re 2) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (cos.f64 im) 2))) (+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3)))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 re re) (-.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (.f64 1/3 (.f64 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 2) (cbrt.f64 (/.f64 1 (cos.f64 im))))))) (pow.f64 (cos.f64 im) 2)) (+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (.f64 re (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))))))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 re re) (pow.f64 (cos.f64 im) 2)) (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (.f64 -1/3 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 2)) (cbrt.f64 (/.f64 1 (cos.f64 im)))))) (fma.f64 (.f64 (*.f64 1 (pow.f64 (cos.f64 im) 3)) re) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (cos.f64 im)))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (cbrt.f64 (/.f64 1 (cos.f64 im))) (.f64 (.f64 9 (pow.f64 (cos.f64 im) 6)) -1/3))) (pow.f64 (cos.f64 im) 2)) (.f64 re re)) (fma.f64 (.f64 (pow.f64 (cos.f64 im) 3) re) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (cos.f64 im)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 re 2) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (cos.f64 im) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 2) (pow.f64 (/.f64 1 (cos.f64 im)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) 3) (pow.f64 (cos.f64 im) 2))))) (pow.f64 re 3)) (pow.f64 (cos.f64 im) 2))) (+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) re) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))))))
(fma.f64 1/3 (/.f64 (.f64 (.f64 re re) (-.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (.f64 1/3 (.f64 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 2) (cbrt.f64 (/.f64 1 (cos.f64 im))))))) (pow.f64 (cos.f64 im) 2)) (fma.f64 1/3 (/.f64 (-.f64 (pow.f64 (cos.f64 im) 3) (fma.f64 2/3 (.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (.f64 (-.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (.f64 1/3 (.f64 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 2) (cbrt.f64 (/.f64 1 (cos.f64 im)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 5))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 3) (pow.f64 (cos.f64 im) 2))))) (/.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 3))) (+.f64 (cos.f64 im) (.f64 1/3 (.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (*.f64 re (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)))))))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 re re) (pow.f64 (cos.f64 im) 2)) (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (.f64 -1/3 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 2)) (cbrt.f64 (/.f64 1 (cos.f64 im)))))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 im) 3) (fma.f64 (.f64 (.f64 2/3 (.f64 3 (pow.f64 (cos.f64 im) 3))) (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (.f64 -1/3 (pow.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) 2)) (cbrt.f64 (/.f64 1 (cos.f64 im)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 5))) (.f64 1/27 (/.f64 (.f64 27 (pow.f64 (pow.f64 (cos.f64 im) 3) 3)) (pow.f64 (cos.f64 im) 2))))) (pow.f64 (cos.f64 im) 2)) (pow.f64 re 3)) (fma.f64 (.f64 (.f64 1 (pow.f64 (cos.f64 im) 3)) re) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (cos.f64 im))))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (cbrt.f64 (/.f64 1 (cos.f64 im))) (.f64 (.f64 9 (pow.f64 (cos.f64 im) 6)) -1/3))) (pow.f64 (cos.f64 im) 2)) (.f64 re re)) (fma.f64 1/3 (.f64 (-.f64 (/.f64 (cos.f64 im) 1) (/.f64 (fma.f64 (.f64 (.f64 2/3 (.f64 3 (pow.f64 (cos.f64 im) 3))) (fma.f64 3 (pow.f64 (cos.f64 im) 3) (.f64 (cbrt.f64 (/.f64 1 (cos.f64 im))) (.f64 (.f64 9 (pow.f64 (cos.f64 im) 6)) -1/3)))) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 5))) (.f64 1/27 (.f64 (/.f64 (.f64 3 (cos.f64 im)) 1) (.f64 9 (pow.f64 (cos.f64 im) 6))))) (pow.f64 (cos.f64 im) 2))) (pow.f64 re 3)) (fma.f64 (*.f64 (pow.f64 (cos.f64 im) 3) re) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (cos.f64 im))))
(*.f64 (cos.f64 im) re)
(+.f64 (.f64 1/3 (.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 2 (pow.f64 (cos.f64 im) 3))) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)) 1/3))) (.f64 (cos.f64 im) re))
(fma.f64 1/3 (.f64 (.f64 3 (pow.f64 (cos.f64 im) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2)))) (*.f64 (cos.f64 im) re))
(fma.f64 (.f64 1 (pow.f64 (cos.f64 im) 3)) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 im) 2))) (.f64 (cos.f64 im) re))
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(+.f64 (pow.f64 (+.f64 1 re) 3) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 1/2 (pow.f64 (+.f64 1 re) 3)) (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)))) (pow.f64 im 4)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 (+.f64 1 re) 3)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 1 re) 2)) (.f64 1/12 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re))) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 (+.f64 1 re) 2)) (.f64 -1/24 (pow.f64 (+.f64 1 re) 2))) (+.f64 1 re)) (.f64 -1/720 (pow.f64 (+.f64 1 re) 3))))) (pow.f64 im 6)) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 1 re) 3)) (*.f64 -1 (pow.f64 (+.f64 1 re) 3))) (pow.f64 im 2)))))
(+.f64 (pow.f64 (+.f64 re 1) 3) (fma.f64 (fma.f64 1/24 (pow.f64 (+.f64 re 1) 3) (fma.f64 1/2 (pow.f64 (+.f64 re 1) 3) (.f64 (+.f64 re 1) (.f64 (pow.f64 (+.f64 re 1) 2) 1/3)))) (pow.f64 im 4) (fma.f64 (fma.f64 -1/24 (pow.f64 (+.f64 re 1) 3) (fma.f64 -1/2 (.f64 (+.f64 re 1) (.f64 (pow.f64 (+.f64 re 1) 2) 1/3)) (fma.f64 -1/720 (pow.f64 (+.f64 re 1) 3) (.f64 (+.f64 re 1) (.f64 (pow.f64 (+.f64 re 1) 2) -2/45))))) (pow.f64 im 6) (.f64 (.f64 (pow.f64 (+.f64 re 1) 3) -3/2) (*.f64 im im)))))
(+.f64 (pow.f64 (+.f64 re 1) 3) (fma.f64 (+.f64 (.f64 (pow.f64 (+.f64 re 1) 3) 1/3) (.f64 (pow.f64 (+.f64 re 1) 3) 13/24)) (pow.f64 im 4) (fma.f64 (.f64 (pow.f64 (+.f64 re 1) 3) -3/2) (.f64 im im) (.f64 (pow.f64 im 6) (fma.f64 (pow.f64 (+.f64 re 1) 3) -1/24 (fma.f64 -1/2 (.f64 (pow.f64 (+.f64 re 1) 3) 1/3) (fma.f64 (pow.f64 (+.f64 re 1) 3) -1/720 (*.f64 (pow.f64 (+.f64 re 1) 3) -2/45))))))))
(+.f64 (pow.f64 (+.f64 re 1) 3) (fma.f64 (.f64 (pow.f64 (+.f64 re 1) 3) 7/8) (pow.f64 im 4) (fma.f64 (pow.f64 im 6) (fma.f64 (pow.f64 (+.f64 re 1) 3) -1/24 (fma.f64 -1/2 (.f64 1/3 (pow.f64 (+.f64 re 1) 3)) (.f64 (pow.f64 (+.f64 re 1) 3) -11/240))) (.f64 (pow.f64 (+.f64 re 1) 3) (.f64 -3/2 (.f64 im im))))))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 1 re) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(*.f64 (pow.f64 (+.f64 1 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (+.f64 re 1) 3))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 1 re)
(+.f64 re 1)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 1 (+.f64 re (.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 (+.f64 (.f64 -1/2 (*.f64 im im)) 1) (+.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 1 (+.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 (+.f64 1/24 (*.f64 re 1/24)) (pow.f64 im 4) 1))
(+.f64 (+.f64 re 1) (.f64 (+.f64 re 1) (+.f64 (.f64 -1/2 (.f64 im im)) (.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 1 (+.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 -1/720 (.f64 (+.f64 re 1) (pow.f64 im 6)) 1)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 im im)) 1) (+.f64 re 1)) (.f64 (+.f64 re 1) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/720 (pow.f64 im 6)))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))

eval189.0ms (2.7%)

Compiler: Compiled 7877 to 5276 computations (33% saved)

prune96.0ms (1.4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	362	12	374

Error

Counts

374 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.8b	(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
✓	17.6b	(exp.f64 re)
✓	0.1b	(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
	40.1b	(/.f64 -1 (-.f64 re 1))
✓	24.0b	(+.f64 re (cos.f64 im))
✓	23.9b	(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
✓	34.5b	(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
✓	22.9b	(/.f64 (neg.f64 (cos.f64 im)) (+.f64 re -1))
✓	40.8b	(+.f64 re 1)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	23.6b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	23.8b	(cos.f64 im)

Compiler

Compiled 103 to 78 computations (24.3% saved)

regimes60.0ms (0.9%)

Counts

18 → 1

Calls

Call 1

Inputs
(+.f64 re 1)
(/.f64 -1 (-.f64 re 1))
(cos.f64 im)
(exp.f64 re)
(+.f64 re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(/.f64 (neg.f64 (cos.f64 im)) (+.f64 re -1))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (+.f64 re (+.f64 (.f64 re (*.f64 re 1/2)) 1)))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(/.f64 (*.f64 (fma.f64 re re -1) (cos.f64 im)) (+.f64 re -1))
(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3) 1/3)
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)

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

Calls

5 calls:

27.0ms	im
10.0ms	(cos.f64 im)
10.0ms	re
6.0ms	(*.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 159 to 89 computations (44% saved)

regimes153.0ms (2.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

112.0ms	(cos.f64 im)
17.0ms	im
13.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.3b	2	`re`
9.4b	3	`im`
0.3b	2	`(exp.f64 re)`
0.3b	2	`(exp.f64 re)`
7.4b	4	`(cos.f64 im)`

Compiler

Compiled 89 to 55 computations (38.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes262.0ms (3.7%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

151.0ms	re
61.0ms	(cos.f64 im)
35.0ms	im
6.0ms	(exp.f64 re)
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.3b	2	`re`
9.4b	3	`im`
0.3b	2	`(exp.f64 re)`
0.3b	2	`(exp.f64 re)`
7.4b	4	`(cos.f64 im)`

Compiler

Compiled 73 to 45 computations (38.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes107.0ms (1.5%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	(cos.f64 im)
33.0ms	im
20.0ms	re
7.0ms	(exp.f64 re)
7.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.4b	2	`re`
9.4b	3	`im`
0.4b	2	`(exp.f64 re)`
0.4b	2	`(exp.f64 re)`
7.4b	4	`(cos.f64 im)`

Compiler

Compiled 49 to 31 computations (36.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes43.0ms (0.6%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(cos.f64 im)
12.0ms	im
9.0ms	re
4.0ms	(exp.f64 re)
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.7b	2	`re`
10.0b	3	`im`
0.7b	2	`(exp.f64 re)`
0.7b	2	`(exp.f64 re)`
7.8b	4	`(cos.f64 im)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.6%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	re
12.0ms	(cos.f64 im)
11.0ms	im
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.8b	2	`re`
10.0b	3	`im`
0.8b	2	`(exp.f64 re)`
7.8b	4	`(cos.f64 im)`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(cos.f64 im)

Calls

3 calls:

4.0ms	im
4.0ms	re
3.0ms	(cos.f64 im)

Results

Error	Segments	Branch
23.8b	1	`re`
23.8b	1	`im`
23.8b	1	`(cos.f64 im)`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.8b remaining (-1.9%)

Threshold costs -0.8b (-1.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 (-.f64 re 1))

Calls

2 calls:

5.0ms	im
3.0ms	re

Results

Error	Segments	Branch
40.1b	1	`re`
40.1b	1	`im`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	137
1	51	137
2	52	137

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (+.f64 re (cos.f64 im)))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(/.f64 -1 (-.f64 re 1))
(+.f64 re 1)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (+.f64 re (cos.f64 im)))
(if (<=.f64 (exp.f64 re) 0) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(/.f64 -1 (-.f64 re 1))
(/.f64 -1 (+.f64 re -1))
(+.f64 re 1)

Compiler

Compiled 108 to 74 computations (31.5% saved)

soundness0.0ms (0%)

end61.0ms (0.9%)

Compiler: Compiled 92 to 47 computations (48.9% saved)

Details

analyze55.0ms (0.8%)

sample2.7s (38.4%)

preprocess28.0ms (0.4%)

simplify11.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series7.0ms (0.1%)

rewrite159.0ms (2.3%)

simplify114.0ms (1.6%)

eval11.0ms (0.2%)

prune18.0ms (0.3%)

localize25.0ms (0.4%)

series309.0ms (4.4%)

rewrite91.0ms (1.3%)

simplify104.0ms (1.5%)

localize4.0ms (0.1%)

localize3.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite64.0ms (0.9%)

simplify132.0ms (1.9%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite55.0ms (0.8%)

simplify85.0ms (1.2%)

eval90.0ms (1.3%)

prune47.0ms (0.7%)

localize18.0ms (0.3%)

series4.0ms (0.1%)

rewrite151.0ms (2.2%)

simplify171.0ms (2.5%)

localize3.0ms (0%)

localize8.0ms (0.1%)

localize24.0ms (0.3%)

series8.0ms (0.1%)

rewrite225.0ms (3.2%)

simplify129.0ms (1.8%)

localize16.0ms (0.2%)

series7.0ms (0.1%)

rewrite62.0ms (0.9%)

simplify61.0ms (0.9%)

eval243.0ms (3.5%)

prune94.0ms (1.4%)

localize18.0ms (0.3%)

series3.0ms (0%)

rewrite95.0ms (1.4%)

simplify150.0ms (2.2%)

localize14.0ms (0.2%)

series4.0ms (0.1%)

rewrite50.0ms (0.7%)

simplify53.0ms (0.8%)

localize16.0ms (0.2%)

series19.0ms (0.3%)

rewrite61.0ms (0.9%)

simplify104.0ms (1.5%)

eval189.0ms (2.7%)

prune96.0ms (1.4%)

regimes60.0ms (0.9%)

regimes153.0ms (2.2%)

bsearch0.0ms (0%)

regimes262.0ms (3.7%)

bsearch0.0ms (0%)

regimes107.0ms (1.5%)

bsearch0.0ms (0%)

regimes43.0ms (0.6%)

bsearch0.0ms (0%)

regimes41.0ms (0.6%)

bsearch0.0ms (0%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end61.0ms (0.9%)

Profiling