Details

analyze90.0ms (1.3%)

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)

sample3.2s (44.2%)

Results

1.3s	6193×	body	256	valid
1.1s	1368×	body	1024	valid
312.0ms	666×	body	1024	invalid
261.0ms	694×	body	512	valid
85.0ms	356×	body	512	invalid
82.0ms	412×	body	256	invalid
1.0ms	1×	body	2048	valid

preprocess88.0ms (1.2%)

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)

simplify10.0ms (0.1%)

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)

series6.0ms (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))
1.0ms	im	@	-inf	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite63.0ms (0.9%)

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))))))))

simplify139.0ms (1.9%)

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)))))

eval9.0ms (0.1%)

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

prune8.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Error

0.0b

Counts

26 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	19.5b	(exp.f64 re)
▶	20.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
▶	20.4b	(cos.f64 im)
▶	0.2b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize5.0ms (0.1%)

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

localize18.0ms (0.2%)

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

localize13.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (1%)

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))))))

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))))))

simplify168.0ms (2.4%)

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))

localize17.0ms (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)))
✓	0.2b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)

Compiler

Compiled 30 to 12 computations (60% saved)

series3.0ms (0%)

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	@	inf	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)
0.0ms	re	@	inf	(+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im)))

rewrite73.0ms (1%)

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	2553	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 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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 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))))))) (#(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 -.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> 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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 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)))))) (#(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)))))

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	456
1	145	452
2	388	434
3	1274	412
4	3330	408
5	5725	408
6	6969	408
7	7394	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 1) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.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 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 (.f64 re 1/6) 1/2))))
(.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))
(.f64 (+.f64 (.f64 -1/2 (*.f64 im im)) 1) (exp.f64 re))
(.f64 (exp.f64 re) (+.f64 1 (.f64 -1/2 (*.f64 im im))))
(.f64 (exp.f64 re) (+.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))) (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 1/24 (pow.f64 im 4)) (.f64 -1/2 (.f64 im im)))))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (.f64 im im)) (+.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 1 (.f64 (.f64 im im) (+.f64 -1/2 (.f64 (*.f64 im im) 1/24)))))
(+.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 (fma.f64 (exp.f64 re) (.f64 -1/720 (pow.f64 im 6)) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/2 (*.f64 im im)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6))))))
(.f64 (exp.f64 re) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/720 (pow.f64 im 6))) (+.f64 1 (.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))
(+.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 1) (.f64 re (*.f64 re 1/2)))) 1)
(+.f64 (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.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 (fma.f64 (+.f64 re 1) (cos.f64 im) 1) (.f64 (cos.f64 im) (+.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 re (.f64 re 1/2)))))
(+.f64 1 (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)))))
(+.f64 1 (.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6))))))))
(+.f64 1 (.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6))))))))
(+.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 (exp.f64 re) (.f64 im im)) 1))
(+.f64 (exp.f64 re) (fma.f64 (exp.f64 re) (.f64 -1/2 (.f64 im im)) 1))
(+.f64 (exp.f64 re) (fma.f64 (exp.f64 re) (.f64 im (.f64 im -1/2)) 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 (exp.f64 re) (*.f64 im im)) 1))
(+.f64 (exp.f64 re) (+.f64 1 (.f64 (exp.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/2 (.f64 im im))))))
(+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4))))) 1)
(+.f64 (.f64 (exp.f64 re) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/2 (.f64 im im))))) 1)
(+.f64 (.f64 (exp.f64 re) (+.f64 1 (.f64 (.f64 im im) (+.f64 -1/2 (.f64 (*.f64 im im) 1/24))))) 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))) (+.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 (exp.f64 re) (.f64 im im)) 1))
(+.f64 (+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/2 (.f64 im im))))) (fma.f64 (exp.f64 re) (*.f64 -1/720 (pow.f64 im 6)) 1))
(+.f64 (exp.f64 re) (+.f64 1 (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))))
(+.f64 (.f64 (exp.f64 re) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6))))) 1)
(+.f64 (.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/720 (pow.f64 im 6))) (+.f64 1 (.f64 im (*.f64 im -1/2))))) 1)

eval48.0ms (0.7%)

Compiler: Compiled 2474 to 1326 computations (46.4% saved)

prune27.0ms (0.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	169	5	174
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	171	8	179

Error

Counts

179 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.5b	(/.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)))))
▶	39.7b	(+.f64 1 re)
▶	25.7b	(.f64 (exp.f64 re) (+.f64 1 (.f64 im (*.f64 im -1/2))))
✓	19.5b	(exp.f64 re)
▶	20.4b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1))) 1)
▶	20.3b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	20.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	20.4b	(cos.f64 im)

Compiler

Compiled 174 to 110 computations (36.8% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 21 computations (47.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
546×	`fma-def_binary64`
450×	`pow-prod-down_binary64`
308×	`pow2_binary64`
281×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	242	27
2	3411	27

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (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 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 re (cos.f64 im)) (*.f64 (fma.f64 re (*.f64 re 1/2) 1) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) (*.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))) 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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3) (*.f64 (pow.f64 (cos.f64 im) 3) (*.f64 (pow.f64 re 6) 1/8))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 2) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))) 2) (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 2) (pow.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))) 2)) (-.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (cos.f64 im)) (fma.f64 (*.f64 re (*.f64 re 1/2)) (fma.f64 re (*.f64 re 1/2) (neg.f64 (+.f64 re 1))) (pow.f64 (+.f64 re 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (*.f64 (pow.f64 re 4) 1/4)) (cos.f64 im)) (+.f64 re (-.f64 1 (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3))) (fma.f64 (*.f64 re (*.f64 re 1/2)) (fma.f64 re (*.f64 re 1/2) (neg.f64 (+.f64 re 1))) (pow.f64 (+.f64 re 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (-.f64 (pow.f64 (+.f64 re 1) 2) (*.f64 (pow.f64 re 4) 1/4))) (+.f64 re (-.f64 1 (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im)))) (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 (fma.f64 re (*.f64 re 1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 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) (+.f64 re 1) (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (cos.f64 im) (*.f64 (fma.f64 re (*.f64 re 1/2) 1) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 re 1) (cos.f64 im) (*.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (*.f64 re re) (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re re) (*.f64 1/2 (cos.f64 im)) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (*.f64 re 1/2)) (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify160.0ms (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

183 → 172

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))

localize3.0ms (0%)

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (exp.f64 re) (+.f64 1 (.f64 im (*.f64 im -1/2))))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`prod-diff_binary64`
483×	`log-prod_binary64`
357×	`fma-def_binary64`
330×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	204	13
2	2576	13

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1018×	`fma-def_binary64`
662×	`associate-l_binary64`
584×	`distribute-lft-out_binary64`
534×	`distribute-rgt-out_binary64`
509×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	418
1	74	349
2	240	332
3	1028	320
4	5088	320

Stop Event

1×	node limit

Counts

89 → 79

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 21 computations (38.2% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite126.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
568×	`fma-def_binary64`
422×	`log-prod_binary64`
280×	`fma-neg_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	207	19
2	3058	19

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify197.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

591×	`distribute-rgt-in_binary64`
587×	`distribute-lft-in_binary64`
536×	`associate-l_binary64`
483×	`distribute-lft-out_binary64`
461×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	556
1	107	544
2	338	520
3	1184	518
4	3167	516
5	6628	516
6	6804	516
7	7043	516
8	7262	516
9	7535	516
10	7872	516

Stop Event

1×	node limit

Counts

240 → 214

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

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

localize67.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cos.f64 im) re) (cos.f64 im))
✓	0.2b	(pow.f64 (cos.f64 im) 2)
✓	0.3b	(pow.f64 (cos.f64 im) 3)
✓	12.5b	(/.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)))))

Compiler

Compiled 121 to 36 computations (70.2% saved)

series42.0ms (0.6%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	im	@	0	(/.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)))))
10.0ms	im	@	-inf	(/.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)))))
5.0ms	im	@	inf	(/.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)))))
3.0ms	re	@	inf	(/.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)))))
1.0ms	re	@	0	(/.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)))))

rewrite125.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
255×	`log-pow_binary64`
188×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	385	30
2	5479	30

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(/.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)))))
(pow.f64 (cos.f64 im) 3)
(pow.f64 (cos.f64 im) 2)
(.f64 (.f64 (cos.f64 im) re) (cos.f64 im))

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

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-r_binary64`
525×	`distribute-rgt-in_binary64`
516×	`associate-l_binary64`
507×	`distribute-lft-in_binary64`
256×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2189
1	580	1918
2	2075	1823

Stop Event

1×	node limit

Counts

166 → 154

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (*.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re))))) (pow.f64 im 2)) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re))))) (pow.f64 im 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 re 2)) (.f64 1/12 (pow.f64 re 2))) re) (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 7/8 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 re 2))) (.f64 1/3 re)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (pow.f64 im 4)) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 (-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/24 (pow.f64 re 2)) (.f64 -1/360 (pow.f64 re 2))) re) (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 re 2)) (.f64 1/12 (pow.f64 re 2))) re) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1/24 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -2/45 (pow.f64 re 2)) (+.f64 (.f64 -2/45 re) 2/45)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 re 2))) (.f64 1/3 re)) (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 61/240 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 re 2)) (.f64 1/4 (pow.f64 re 2))) re) (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 7/8 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 re 2))) (.f64 1/3 re)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (pow.f64 im 6)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re))))) (pow.f64 im 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 re 2)) (.f64 1/12 (pow.f64 re 2))) re) (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 7/8 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 re 2))) (.f64 1/3 re)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (pow.f64 im 4)) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2)) (pow.f64 (cos.f64 im) 2)) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2)) (pow.f64 (cos.f64 im) 2)) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2)) (pow.f64 (cos.f64 im) 2)) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2)) (pow.f64 (cos.f64 im) 2)) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 2) (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2))) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 2) (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2))) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 2) (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2))) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 im) 2) (.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 re 2))) (*.f64 (pow.f64 (cos.f64 im) 2) re)))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))))) (+.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))))) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (-.f64 (cos.f64 im) (+.f64 (.f64 -1 (cos.f64 im)) (*.f64 2 (cos.f64 im)))) (pow.f64 re 3)))))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (*.f64 -1 (cos.f64 im))) re))))
(-.f64 (+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))) re))))) (+.f64 (.f64 2 (/.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2)))))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (+.f64 (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2))) (/.f64 (cos.f64 im) re))))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 im 2)) (.f64 7/8 (pow.f64 im 4))))
(+.f64 (.f64 -61/240 (pow.f64 im 6)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 im 2)) (*.f64 7/8 (pow.f64 im 4)))))
1
(+.f64 (*.f64 -1 (pow.f64 im 2)) 1)
(+.f64 (.f64 1/3 (pow.f64 im 4)) (+.f64 (.f64 -1 (pow.f64 im 2)) 1))
(+.f64 (.f64 1/3 (pow.f64 im 4)) (+.f64 (.f64 -1 (pow.f64 im 2)) (+.f64 1 (*.f64 -2/45 (pow.f64 im 6)))))
re
(+.f64 re (.f64 -1 (.f64 re (pow.f64 im 2))))
(+.f64 (.f64 1/3 (.f64 re (pow.f64 im 4))) (+.f64 re (.f64 -1 (.f64 re (pow.f64 im 2)))))
(+.f64 (.f64 -2/45 (.f64 re (pow.f64 im 6))) (+.f64 (.f64 1/3 (.f64 re (pow.f64 im 4))) (+.f64 re (.f64 -1 (.f64 re (pow.f64 im 2))))))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 (pow.f64 (cos.f64 im) 2) re)

Outputs
(/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (+.f64 1 (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 1 re)))
(/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (fma.f64 re re 1) re))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (*.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re))))) (pow.f64 im 2)) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))
(+.f64 (/.f64 1 (+.f64 (.f64 re re) (-.f64 1 re))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 re 3) (+.f64 (.f64 re re) (-.f64 1 re))) -3/2) (+.f64 (/.f64 (-.f64 (neg.f64 (.f64 re re)) (fma.f64 -1 re 1)) (/.f64 (pow.f64 (+.f64 (.f64 re re) (-.f64 1 re)) 2) (+.f64 1 (pow.f64 re 3)))) (/.f64 3/2 (+.f64 (.f64 re re) (-.f64 1 re))))) (.f64 im im) (/.f64 (pow.f64 re 3) (+.f64 (.f64 re re) (-.f64 1 re)))))
(+.f64 (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (fma.f64 (-.f64 (-.f64 (/.f64 (.f64 (pow.f64 re 3) -3/2) (-.f64 (fma.f64 re re 1) re)) (/.f64 3/2 (-.f64 (fma.f64 re re 1) re))) (.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 re re 1) re)) (pow.f64 (-.f64 (fma.f64 re re 1) re) 2)) (+.f64 1 (pow.f64 re 3)))) (*.f64 im im) (/.f64 (pow.f64 re 3) (-.f64 (fma.f64 re re 1) re))))
(+.f64 (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (fma.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 re 3) (-.f64 (fma.f64 re re 1) re)) -3/2 (/.f64 -3/2 (-.f64 (fma.f64 re re 1) re))) (.f64 (/.f64 (-.f64 (fma.f64 re (neg.f64 re) re) 1) (pow.f64 (-.f64 (fma.f64 re re 1) re) 2)) (+.f64 1 (pow.f64 re 3)))) (.f64 im im) (/.f64 (pow.f64 re 3) (-.f64 (fma.f64 re re 1) re))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re))))) (pow.f64 im 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 re 2)) (.f64 1/12 (pow.f64 re 2))) re) (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 7/8 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 1/3 (.f64 1/3 (pow.f64 re 2))) (.f64 1/3 re)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (.f64 -1 (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 re 2)) (+.f64 (.f64 -1 re) 1)) (+.f64 1 (pow.f64 re 3))) (pow.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) 2)) (.f64 3/2 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))) (pow.f64 im 4)) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))
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(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))) re))))) (+.f64 (.f64 2 (/.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2)))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(fma.f64 -1 (/.f64 (cos.f64 im) re) (+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (/.f64 (cos.f64 im) re)))
(-.f64 (+.f64 (fma.f64 re (cos.f64 im) (cos.f64 im)) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) re))
(+.f64 (fma.f64 re (cos.f64 im) (cos.f64 im)) (*.f64 0 (/.f64 (cos.f64 im) re)))
(+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (+.f64 (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2))) (/.f64 (cos.f64 im) re))))))
(+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (fma.f64 -1 (/.f64 (cos.f64 im) re) (+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (fma.f64 -1 (/.f64 (cos.f64 im) (.f64 re re)) (/.f64 (cos.f64 im) re)))))
(+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (-.f64 (+.f64 (fma.f64 re (cos.f64 im) (cos.f64 im)) (-.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (.f64 re re)))) (/.f64 (cos.f64 im) re)))
(+.f64 (/.f64 (cos.f64 im) (.f64 re re)) (+.f64 (-.f64 (fma.f64 re (cos.f64 im) (cos.f64 im)) (/.f64 (cos.f64 im) (.f64 re re))) (*.f64 0 (/.f64 (cos.f64 im) re))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 im 2)))
(+.f64 1 (.f64 (.f64 im im) -3/2))
(fma.f64 (*.f64 im im) -3/2 1)
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 im 2)) (.f64 7/8 (pow.f64 im 4))))
(+.f64 1 (fma.f64 -3/2 (.f64 im im) (.f64 7/8 (pow.f64 im 4))))
(+.f64 1 (fma.f64 (.f64 im im) -3/2 (.f64 7/8 (pow.f64 im 4))))
(+.f64 (fma.f64 (.f64 im im) -3/2 1) (.f64 7/8 (pow.f64 im 4)))
(+.f64 (.f64 -61/240 (pow.f64 im 6)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 im 2)) (*.f64 7/8 (pow.f64 im 4)))))
(fma.f64 -61/240 (pow.f64 im 6) (+.f64 1 (fma.f64 -3/2 (.f64 im im) (.f64 7/8 (pow.f64 im 4)))))
(+.f64 (fma.f64 (.f64 im im) -3/2 (.f64 7/8 (pow.f64 im 4))) (fma.f64 (pow.f64 im 6) -61/240 1))
1
(+.f64 (*.f64 -1 (pow.f64 im 2)) 1)
(fma.f64 -1 (*.f64 im im) 1)
(-.f64 1 (*.f64 im im))
(+.f64 (.f64 1/3 (pow.f64 im 4)) (+.f64 (.f64 -1 (pow.f64 im 2)) 1))
(fma.f64 1/3 (pow.f64 im 4) (fma.f64 -1 (*.f64 im im) 1))
(fma.f64 1/3 (pow.f64 im 4) (-.f64 1 (*.f64 im im)))
(+.f64 (.f64 1/3 (pow.f64 im 4)) (+.f64 (.f64 -1 (pow.f64 im 2)) (+.f64 1 (*.f64 -2/45 (pow.f64 im 6)))))
(fma.f64 1/3 (pow.f64 im 4) (+.f64 (fma.f64 -1 (.f64 im im) 1) (.f64 -2/45 (pow.f64 im 6))))
(fma.f64 1/3 (pow.f64 im 4) (-.f64 (fma.f64 -2/45 (pow.f64 im 6) 1) (*.f64 im im)))
re
(+.f64 re (.f64 -1 (.f64 re (pow.f64 im 2))))
(+.f64 re (.f64 (neg.f64 re) (.f64 im im)))
(fma.f64 (neg.f64 re) (*.f64 im im) re)
(-.f64 re (.f64 re (.f64 im im)))
(+.f64 (.f64 1/3 (.f64 re (pow.f64 im 4))) (+.f64 re (.f64 -1 (.f64 re (pow.f64 im 2)))))
(fma.f64 1/3 (.f64 re (pow.f64 im 4)) (+.f64 re (.f64 (neg.f64 re) (*.f64 im im))))
(-.f64 (fma.f64 1/3 (.f64 re (pow.f64 im 4)) re) (.f64 re (*.f64 im im)))
(+.f64 re (.f64 re (fma.f64 1/3 (pow.f64 im 4) (.f64 im (neg.f64 im)))))
(+.f64 (.f64 -2/45 (.f64 re (pow.f64 im 6))) (+.f64 (.f64 1/3 (.f64 re (pow.f64 im 4))) (+.f64 re (.f64 -1 (.f64 re (pow.f64 im 2))))))
(fma.f64 -2/45 (.f64 re (pow.f64 im 6)) (fma.f64 1/3 (.f64 re (pow.f64 im 4)) (+.f64 re (.f64 (neg.f64 re) (.f64 im im)))))
(fma.f64 -2/45 (.f64 re (pow.f64 im 6)) (-.f64 (fma.f64 1/3 (.f64 re (pow.f64 im 4)) re) (.f64 re (.f64 im im))))
(fma.f64 -2/45 (.f64 re (pow.f64 im 6)) (+.f64 re (.f64 re (fma.f64 1/3 (pow.f64 im 4) (*.f64 im (neg.f64 im))))))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))
(*.f64 (pow.f64 (cos.f64 im) 2) re)
(*.f64 re (pow.f64 (cos.f64 im) 2))

eval369.0ms (5.2%)

Compiler: Compiled 14485 to 8014 computations (44.7% saved)

prune183.0ms (2.6%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	651	4	655
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	652	11	663

Error

Counts

663 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(exp.f64 re)
▶	39.7b	(-.f64 (+.f64 1 (+.f64 1 re)) 1)
▶	20.6b	(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))
▶	39.8b	(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
▶	39.7b	(-.f64 (+.f64 re 2) 1)
✓	39.7b	(+.f64 1 re)
✓	25.7b	(.f64 (exp.f64 re) (+.f64 1 (.f64 im (*.f64 im -1/2))))
✓	20.4b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1))) 1)
✓	20.3b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	20.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	20.4b	(cos.f64 im)

Compiler

Compiled 110 to 85 computations (22.7% saved)

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

series5.0ms (0.1%)

Counts

2 → 6

Calls

6 calls:

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

rewrite166.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`pow1_binary64`
924×	`add-log-exp_binary64`
922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	200	15
2	2581	15

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(pow.f64 re 2)

Outputs

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

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

simplify183.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
778×	`sqr-pow_binary64`
502×	`cube-prod_binary64`
487×	`associate-l_binary64`
482×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	19	35
2	28	35
3	56	35
4	139	35
5	430	35
6	1605	35
7	3037	35
8	3405	35
9	3636	35
10	3879	35
11	4228	35
12	4654	35
13	5183	35
14	5770	35
15	6494	35
16	7335	35
17	7735	35

Stop Event

1×	node limit

Counts

61 → 61

Calls

Call 1

Inputs
1
(+.f64 1 re)
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)

Outputs
1
(+.f64 1 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)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 re 1/2) re)
(*.f64 re (fma.f64 re 1/2 1))
(*.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)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 re 1/2) re)
(*.f64 re (fma.f64 re 1/2 1))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite97.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`pow1_binary64`
714×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	146	8
2	2223	8

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	78
1	10	78

Stop Event

1×

saturated

Counts

109 → 90

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`pow1_binary64`
646×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
636×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	138	4
2	1776	4

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	39
1	7	39

Stop Event

1×

saturated

Counts

52 → 42

Calls

Call 1

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

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

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3))
	0.2b	(pow.f64 (cos.f64 im) 2)
	0.3b	(pow.f64 (cos.f64 im) 3)
✓	12.7b	(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))

Compiler

Compiled 84 to 50 computations (40.5% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))
1.0ms	im	@	-inf	(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))
1.0ms	im	@	0	(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))
1.0ms	im	@	0	(/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3))
1.0ms	im	@	inf	(/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3))

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`prod-diff_binary64`
488×	`fma-def_binary64`
287×	`log1p-udef_binary64`
286×	`expm1-udef_binary64`
206×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	362	57
2	4836	57

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))

(/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3))

Outputs

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

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
539×	`associate-+l+_binary64`
399×	`associate-+r+_binary64`
316×	`sub-neg_binary64`
303×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1151
1	358	1041
2	1348	994
3	6717	994

Stop Event

1×	node limit

Counts

141 → 134

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))))) (+.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 2) (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))))) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (-.f64 (cos.f64 im) (+.f64 (.f64 -1 (cos.f64 im)) (*.f64 2 (cos.f64 im)))) (pow.f64 re 3)))))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (*.f64 -1 (cos.f64 im))) re))))
(-.f64 (+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))) re))))) (+.f64 (.f64 2 (/.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2)))))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (+.f64 (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2))) (/.f64 (cos.f64 im) re))))))
(/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 2)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 2)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 4)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 2)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 6)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 4)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(-.f64 (+.f64 (pow.f64 re 2) 1) re)
(-.f64 (+.f64 (pow.f64 re 2) (+.f64 1 (.f64 1/2 (.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (pow.f64 im 2))))) re)
(-.f64 (+.f64 (pow.f64 re 2) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (.f64 -1/4 (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (pow.f64 im 4))) (.f64 1/2 (.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (pow.f64 im 2)))))) re)
(-.f64 (+.f64 (pow.f64 re 2) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (.f64 -1/4 (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (pow.f64 im 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (pow.f64 im 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 1/48 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (.f64 1/2 (+.f64 (.f64 1/24 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (*.f64 -1/4 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (pow.f64 im 6))))))) re)
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 1 (cos.f64 im))
(+.f64 (/.f64 1 (cos.f64 im)) (*.f64 -1 (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(/.f64 (pow.f64 re 2) (cos.f64 im))
(+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im)))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(/.f64 (pow.f64 re 2) (cos.f64 im))
(+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im)))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (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 -1 (.f64 (pow.f64 re 2) (+.f64 (cos.f64 im) (.f64 -1 (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 (.f64 (pow.f64 re 2) (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))))) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (-.f64 (cos.f64 im) (+.f64 (.f64 -1 (cos.f64 im)) (*.f64 2 (cos.f64 im)))) (pow.f64 re 3)))))
(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) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (*.f64 -1 (cos.f64 im))) re))))
(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 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 -1 (/.f64 (+.f64 (cos.f64 im) (.f64 -1 (cos.f64 im))) re))))) (+.f64 (.f64 2 (/.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2)))))
(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 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
(fma.f64 -1 (/.f64 (cos.f64 im) re) (+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (/.f64 (cos.f64 im) re)))
(-.f64 (+.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) re))
(fma.f64 (+.f64 re 1) (cos.f64 im) (*.f64 0 (/.f64 (cos.f64 im) re)))
(+.f64 (/.f64 (cos.f64 im) (pow.f64 re 2)) (+.f64 (.f64 -1 (/.f64 (cos.f64 im) re)) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (+.f64 (*.f64 -1 (/.f64 (cos.f64 im) (pow.f64 re 2))) (/.f64 (cos.f64 im) re))))))
(fma.f64 -1 (/.f64 (cos.f64 im) re) (+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (/.f64 (cos.f64 im) re)))
(-.f64 (+.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) re))
(fma.f64 (+.f64 re 1) (cos.f64 im) (*.f64 0 (/.f64 (cos.f64 im) re)))
(/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (+.f64 (pow.f64 re 3) 1) (+.f64 (*.f64 re re) (-.f64 1 re)))
(/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re))
(/.f64 (+.f64 (pow.f64 re 3) 1) (fma.f64 re re (-.f64 1 re)))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 2)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))
(+.f64 (/.f64 1 (+.f64 (.f64 re re) (-.f64 1 re))) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 re 3) 1) (.f64 im im)) (+.f64 (.f64 re re) (-.f64 1 re))) (/.f64 (pow.f64 re 3) (+.f64 (*.f64 re re) (-.f64 1 re)))))
(+.f64 (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (-.f64 (fma.f64 re re 1) re) (*.f64 im im))) (/.f64 (pow.f64 re 3) (-.f64 (fma.f64 re re 1) re))))
(+.f64 (/.f64 1 (fma.f64 re re (-.f64 1 re))) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (fma.f64 re re (-.f64 1 re)) im)) im) (/.f64 (pow.f64 re 3) (fma.f64 re re (-.f64 1 re)))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 2)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 4)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))
(+.f64 (/.f64 1 (+.f64 (.f64 re re) (-.f64 1 re))) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 re 3) 1) (.f64 im im)) (+.f64 (.f64 re re) (-.f64 1 re))) (fma.f64 1/24 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (+.f64 (.f64 re re) (-.f64 1 re)) (pow.f64 im 4))) (/.f64 (pow.f64 re 3) (+.f64 (.f64 re re) (-.f64 1 re))))))
(+.f64 (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (-.f64 (fma.f64 re re 1) re) (.f64 im im))) (fma.f64 1/24 (.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (pow.f64 im 4)) (/.f64 (pow.f64 re 3) (-.f64 (fma.f64 re re 1) re)))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (pow.f64 im 4) (fma.f64 re re (-.f64 1 re))) (+.f64 (pow.f64 re 3) 1)) (/.f64 (pow.f64 re 3) (fma.f64 re re (-.f64 1 re)))) (fma.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (fma.f64 re re (-.f64 1 re)) im)) im) (/.f64 1 (fma.f64 re re (-.f64 1 re)))))
(+.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 2)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 6)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 im 4)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (/.f64 (pow.f64 re 3) (-.f64 (+.f64 (pow.f64 re 2) 1) re))))))
(+.f64 (/.f64 1 (+.f64 (.f64 re re) (-.f64 1 re))) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 re 3) 1) (.f64 im im)) (+.f64 (.f64 re re) (-.f64 1 re))) (fma.f64 -1/720 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (+.f64 (.f64 re re) (-.f64 1 re)) (pow.f64 im 6))) (fma.f64 1/24 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (+.f64 (.f64 re re) (-.f64 1 re)) (pow.f64 im 4))) (/.f64 (pow.f64 re 3) (+.f64 (*.f64 re re) (-.f64 1 re)))))))
(+.f64 (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (-.f64 (fma.f64 re re 1) re) (.f64 im im))) (fma.f64 -1/720 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (-.f64 (fma.f64 re re 1) re) (pow.f64 im 6))) (fma.f64 1/24 (.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (pow.f64 im 4)) (/.f64 (pow.f64 re 3) (-.f64 (fma.f64 re re 1) re))))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (pow.f64 im 4) (fma.f64 re re (-.f64 1 re))) (+.f64 (pow.f64 re 3) 1)) (fma.f64 -1/720 (.f64 (/.f64 (pow.f64 im 6) (fma.f64 re re (-.f64 1 re))) (+.f64 (pow.f64 re 3) 1)) (/.f64 (pow.f64 re 3) (fma.f64 re re (-.f64 1 re))))) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (fma.f64 re re (-.f64 1 re)) im)) im) (/.f64 1 (fma.f64 re re (-.f64 1 re)))))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (-.f64 (+.f64 (pow.f64 re 2) 1) re))
(/.f64 (cos.f64 im) (/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (+.f64 (pow.f64 re 3) 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 3) 1) (-.f64 (fma.f64 re re 1) re)) (cos.f64 im))
(*.f64 (+.f64 (pow.f64 re 3) 1) (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))))
(-.f64 (+.f64 (pow.f64 re 2) 1) re)
(+.f64 (*.f64 re re) (-.f64 1 re))
(-.f64 (fma.f64 re re 1) re)
(fma.f64 re re (-.f64 1 re))
(-.f64 (+.f64 (pow.f64 re 2) (+.f64 1 (.f64 1/2 (.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (pow.f64 im 2))))) re)
(-.f64 (+.f64 (+.f64 (.f64 re re) 1) (.f64 1/2 (.f64 (+.f64 (.f64 re re) (-.f64 1 re)) (*.f64 im im)))) re)
(-.f64 (fma.f64 re re (fma.f64 1/2 (.f64 im (.f64 im (-.f64 (fma.f64 re re 1) re))) 1)) re)
(-.f64 (fma.f64 (fma.f64 re re (-.f64 1 re)) (.f64 (.f64 im im) 1/2) (fma.f64 re re 1)) re)
(-.f64 (+.f64 (pow.f64 re 2) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (.f64 -1/4 (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (pow.f64 im 4))) (.f64 1/2 (.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (pow.f64 im 2)))))) re)
(-.f64 (+.f64 (+.f64 (.f64 re re) 1) (fma.f64 -1 (.f64 (pow.f64 im 4) (.f64 (+.f64 (.f64 re re) (-.f64 1 re)) -5/24)) (.f64 1/2 (.f64 (+.f64 (.f64 re re) (-.f64 1 re)) (.f64 im im))))) re)
(-.f64 (+.f64 (fma.f64 re re 1) (-.f64 (.f64 (-.f64 (fma.f64 re re 1) re) (.f64 (.f64 im im) 1/2)) (.f64 (-.f64 (fma.f64 re re 1) re) (*.f64 -5/24 (pow.f64 im 4))))) re)
(+.f64 (fma.f64 re re 1) (-.f64 (.f64 (fma.f64 re re (-.f64 1 re)) (-.f64 (.f64 (.f64 im im) 1/2) (.f64 (pow.f64 im 4) -5/24))) re))
(-.f64 (+.f64 (pow.f64 re 2) (+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/24 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (.f64 -1/4 (-.f64 (+.f64 (pow.f64 re 2) 1) re))) (pow.f64 im 4))) (+.f64 (.f64 1/2 (.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (pow.f64 im 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (+.f64 (.f64 1/48 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (.f64 1/2 (+.f64 (.f64 1/24 (-.f64 (+.f64 (pow.f64 re 2) 1) re)) (*.f64 -1/4 (-.f64 (+.f64 (pow.f64 re 2) 1) re)))))) (pow.f64 im 6))))))) re)
(-.f64 (+.f64 (+.f64 (.f64 re re) 1) (fma.f64 -1 (.f64 (pow.f64 im 4) (.f64 (+.f64 (.f64 re re) (-.f64 1 re)) -5/24)) (fma.f64 1/2 (.f64 (+.f64 (.f64 re re) (-.f64 1 re)) (.f64 im im)) (neg.f64 (.f64 (pow.f64 im 6) (fma.f64 -1/720 (+.f64 (.f64 re re) (-.f64 1 re)) (fma.f64 1/48 (+.f64 (.f64 re re) (-.f64 1 re)) (.f64 1/2 (.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) -5/24))))))))) re)
(+.f64 (fma.f64 re re 1) (-.f64 (-.f64 (-.f64 (.f64 (-.f64 (fma.f64 re re 1) re) (.f64 (.f64 im im) 1/2)) (.f64 (-.f64 (fma.f64 re re 1) re) (.f64 -5/24 (pow.f64 im 4)))) (.f64 (pow.f64 im 6) (+.f64 (.f64 (-.f64 (fma.f64 re re 1) re) -5/48) (.f64 (-.f64 (fma.f64 re re 1) re) 7/360)))) re))
(+.f64 (fma.f64 re re 1) (-.f64 (.f64 (fma.f64 re re (-.f64 1 re)) (-.f64 (.f64 (.f64 im im) 1/2) (.f64 (pow.f64 im 4) -5/24))) (+.f64 (.f64 (pow.f64 im 6) (.f64 (fma.f64 re re (-.f64 1 re)) -61/720)) re)))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (+.f64 (pow.f64 re 2) 1) re) (cos.f64 im))
(/.f64 (+.f64 (*.f64 re re) (-.f64 1 re)) (cos.f64 im))
(/.f64 (-.f64 (fma.f64 re re 1) re) (cos.f64 im))
(/.f64 (fma.f64 re re (-.f64 1 re)) (cos.f64 im))
(/.f64 1 (cos.f64 im))
(+.f64 (/.f64 1 (cos.f64 im)) (*.f64 -1 (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (neg.f64 (/.f64 re (cos.f64 im))))
(-.f64 (/.f64 1 (cos.f64 im)) (/.f64 re (cos.f64 im)))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im))))
(/.f64 (pow.f64 re 2) (cos.f64 im))
(/.f64 (*.f64 re re) (cos.f64 im))
(/.f64 re (/.f64 (cos.f64 im) re))
(+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im)))
(fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im)))
(-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im)))
(-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im)))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im))))
(/.f64 (pow.f64 re 2) (cos.f64 im))
(/.f64 (*.f64 re re) (cos.f64 im))
(/.f64 re (/.f64 (cos.f64 im) re))
(+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im)))
(fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im)))
(-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im)))
(-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im)))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (+.f64 (*.f64 -1 (/.f64 re (cos.f64 im))) (/.f64 (pow.f64 re 2) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (fma.f64 -1 (/.f64 re (cos.f64 im)) (/.f64 (*.f64 re re) (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 re (/.f64 (cos.f64 im) re)) (/.f64 re (cos.f64 im))))
(+.f64 (/.f64 1 (cos.f64 im)) (-.f64 (/.f64 (*.f64 re re) (cos.f64 im)) (/.f64 re (cos.f64 im))))

eval149.0ms (2.1%)

Compiler: Compiled 7416 to 5021 computations (32.3% saved)

prune61.0ms (0.9%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	377	4	381
Fresh	0	0	0
Picked	0	1	1
Done	1	9	10
Total	378	14	392

Error

Counts

392 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(exp.f64 re)
✓	39.7b	(-.f64 (+.f64 1 (+.f64 1 re)) 1)
	39.8b	(+.f64 (.f64 1/2 (.f64 re re)) (+.f64 1 re))
✓	20.3b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	20.4b	(cos.f64 im)
	61.7b	re
✓	39.7b	(-.f64 (+.f64 re 2) 1)
✓	39.7b	(+.f64 1 re)
✓	25.7b	(.f64 (exp.f64 re) (+.f64 1 (.f64 im (*.f64 im -1/2))))
	62.1b	(.f64 re (.f64 re 1/2))
✓	20.4b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1))) 1)
✓	20.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	20.6b	(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))
	39.7b	1

Compiler

Compiled 123 to 94 computations (23.6% saved)

regimes45.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	im
10.0ms	(cos.f64 im)
9.0ms	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 175 to 102 computations (41.7% saved)

regimes77.0ms (1.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	im
16.0ms	(cos.f64 im)
15.0ms	re
12.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.1b	2	`re`
8.8b	3	`im`
0.1b	2	`(exp.f64 re)`
0.1b	2	`(exp.f64 re)`
9.1b	2	`(cos.f64 im)`
9.1b	2	`(cos.f64 im)`

Compiler

Compiled 106 to 71 computations (33% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.948705752092192	0.9999998786294041

Compiler

Compiled 12 to 9 computations (25% saved)

regimes72.0ms (1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	im
14.0ms	re
13.0ms	(cos.f64 im)
11.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.2b	2	`re`
8.8b	3	`im`
0.2b	2	`(exp.f64 re)`
0.2b	2	`(exp.f64 re)`
9.1b	2	`(cos.f64 im)`
9.1b	2	`(cos.f64 im)`

Compiler

Compiled 94 to 65 computations (30.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.948705752092192	0.9999998786294041

Compiler

Compiled 12 to 9 computations (25% saved)

regimes44.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	im
11.0ms	re
10.0ms	(cos.f64 im)
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
9.3b	3	`im`
0.6b	2	`(exp.f64 re)`
9.2b	2	`(cos.f64 im)`

Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.948705752092192	0.9999998786294041

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(exp.f64 re)

Calls

3 calls:

9.0ms	im
5.0ms	re
2.0ms	(exp.f64 re)

Results

Error	Segments	Branch
19.5b	1	`re`
19.5b	1	`im`
19.5b	1	`(exp.f64 re)`

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes15.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 1 re)

Calls

2 calls:

8.0ms	re
5.0ms	im

Results

Error	Segments	Branch
39.7b	1	`re`
39.7b	1	`im`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes16.0ms (0.2%)

Accuracy

Total -22.2b remaining (-55.9%)

Threshold costs -22.2b (-55.9%)

Counts

2 → 1

Calls

Call 1

Inputs
re
1

Outputs
1

Calls

2 calls:

7.0ms	im
7.0ms	re

Results

Error	Segments	Branch
39.7b	1	`re`
39.7b	1	`im`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	80
1	28	80

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 4278419646001971/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 4278419646001971/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4278419646001971/4503599627370496) (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 1 re)
1
re

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 4278419646001971/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 4278419646001971/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4278419646001971/4503599627370496) (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 1 re)
(+.f64 re 1)
1
re

Compiler

Compiled 69 to 48 computations (30.4% saved)

soundness0.0ms (0%)

end91.0ms (1.3%)

Compiler: Compiled 55 to 27 computations (50.9% saved)

Details

analyze90.0ms (1.3%)

sample3.2s (44.2%)

preprocess88.0ms (1.2%)

simplify10.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite63.0ms (0.9%)

simplify139.0ms (1.9%)

eval9.0ms (0.1%)

prune8.0ms (0.1%)

localize5.0ms (0.1%)

localize18.0ms (0.2%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite75.0ms (1%)

simplify168.0ms (2.4%)

localize17.0ms (0.2%)

series3.0ms (0%)

rewrite73.0ms (1%)

simplify99.0ms (1.4%)

eval48.0ms (0.7%)

prune27.0ms (0.4%)

localize15.0ms (0.2%)

series5.0ms (0.1%)

rewrite74.0ms (1%)

simplify160.0ms (2.2%)

localize3.0ms (0%)

localize14.0ms (0.2%)

series6.0ms (0.1%)

rewrite64.0ms (0.9%)

simplify67.0ms (0.9%)

localize29.0ms (0.4%)

series7.0ms (0.1%)

rewrite126.0ms (1.8%)

simplify197.0ms (2.8%)

localize67.0ms (0.9%)

series42.0ms (0.6%)

rewrite125.0ms (1.8%)

simplify92.0ms (1.3%)

eval369.0ms (5.2%)

prune183.0ms (2.6%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite166.0ms (2.3%)

simplify183.0ms (2.6%)

localize17.0ms (0.2%)

series3.0ms (0%)

rewrite97.0ms (1.4%)

simplify16.0ms (0.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite46.0ms (0.6%)

simplify7.0ms (0.1%)

localize35.0ms (0.5%)

series9.0ms (0.1%)

rewrite87.0ms (1.2%)

simplify66.0ms (0.9%)

eval149.0ms (2.1%)

prune61.0ms (0.9%)

regimes45.0ms (0.6%)

regimes77.0ms (1.1%)

bsearch0.0ms (0%)

regimes72.0ms (1%)

bsearch0.0ms (0%)

regimes44.0ms (0.6%)

bsearch0.0ms (0%)

regimes19.0ms (0.3%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

simplify11.0ms (0.1%)

soundness0.0ms (0%)

end91.0ms (1.3%)

Profiling