Details

analyze61.0ms (1.9%)

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)

sample2.4s (72.4%)

Results

771.0ms	1383×	body	1024	valid
647.0ms	5642×	body	64	valid
315.0ms	673×	body	1024	invalid
274.0ms	711×	body	512	valid
115.0ms	318×	body	512	invalid
100.0ms	340×	body	256	valid
43.0ms	158×	body	256	invalid
36.0ms	176×	body	128	valid
20.0ms	92×	body	128	invalid
19.0ms	152×	body	64	invalid
4.0ms	4×	body	2048	valid

preprocess14.0ms (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 7 to 5 computations (28.6% saved)

simplify10.0ms (0.3%)

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))

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite34.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

19 → 25

Calls

Call 1

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

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

prune23.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

Counts

26 → 2

Alt Table

Status	Error	Program
▶	0.3b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 304 to 161 computations (47% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.2b	(+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im)))
✓	0.3b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)

series4.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite58.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	17
2	2467	17

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

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

Outputs

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

simplify102.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-l_binary64`
568×	`distribute-lft-out_binary64`
524×	`distribute-rgt-out_binary64`
448×	`distribute-rgt-in_binary64`
409×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	456
1	145	452
2	388	434
3	1270	412
4	3095	408
5	5484	408
6	6728	408
7	7153	408
8	7845	408

Stop Event

1×	node limit

Counts

115 → 113

Calls

Call 1

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

prune476.0ms (14.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Error

Counts

140 → 2

Alt Table

Status	Error	Program
✓	0.3b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 2091 to 1112 computations (46.8% saved)

regimes17.0ms (0.5%)

Accuracy

Total -0.3b remaining (-6773%)

Threshold costs -0.3b (-6773%)

Counts

2 → 1

Calls

Call 1

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

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

Results

3.0ms	0.0b	`re`
5.0ms	0.0b	`im`
3.0ms	0.0b	`(*.f64 (exp.f64 re) (cos.f64 im))`
2.0ms	0.0b	`(exp.f64 re)`
3.0ms	0.0b	`(cos.f64 im)`

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify2.0ms (0%)

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

Calls

Call 1

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

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

end14.0ms (0.4%)

Stop Event

1×

done

Compiler

Compiled 14 to 10 computations (28.6% saved)

Details

analyze61.0ms (1.9%)

sample2.4s (72.4%)

preprocess14.0ms (0.4%)

simplify10.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite34.0ms (1.1%)

simplify69.0ms (2.1%)

prune23.0ms (0.7%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.8%)

simplify102.0ms (3.1%)

prune476.0ms (14.6%)

regimes17.0ms (0.5%)

simplify2.0ms (0%)

end14.0ms (0.4%)

Profiling