Details

analyze55.0ms (1.4%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.3s (58.1%)

Results

885.0ms	6164×	body	256	valid
759.0ms	1385×	body	1024	valid
264.0ms	702×	body	512	valid
224.0ms	669×	body	1024	invalid
93.0ms	347×	body	512	invalid
49.0ms	370×	body	256	invalid
4.0ms	5×	body	2048	valid

preprocess19.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

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

rewrite40.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify84.0ms (2.1%)

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)))))

eval6.0ms (0.1%)

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

prune5.0ms (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

Counts

26 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
▶	10.3b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
▶	19.7b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	19.6b	(exp.f64 re)

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize4.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize8.0ms (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)

series85.0ms (2.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	im	@	inf	(*.f64 (cos.f64 im) (+.f64 re 1))
1.0ms	re	@	inf	(*.f64 (cos.f64 im) (+.f64 re 1))
1.0ms	im	@	-inf	(*.f64 (cos.f64 im) (+.f64 re 1))
1.0ms	im	@	0	(*.f64 (cos.f64 im) (+.f64 re 1))
0.0ms	re	@	-inf	(*.f64 (cos.f64 im) (+.f64 re 1))

rewrite55.0ms (1.4%)

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))))))

simplify124.0ms (3.1%)

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))

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.0b	(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
✓	0.1b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)

Compiler

Compiled 28 to 9 computations (67.9% saved)

series76.0ms (1.9%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
69.0ms	re	@	0	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
1.0ms	im	@	0	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
1.0ms	re	@	inf	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
1.0ms	re	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
1.0ms	im	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)

rewrite60.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	179	18
2	1770	18

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
(sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im)))

Outputs

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

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-rgt-in_binary64`
721×	`distribute-lft-in_binary64`
548×	`fma-def_binary64`
377×	`associate-l_binary64`
369×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	708
1	266	679
2	815	588
3	3784	509

Stop Event

1×	node limit

Counts

84 → 80

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (pow.f64 re 2) (-.f64 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/4 (cos.f64 im))) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (pow.f64 re 2) (-.f64 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/4 (cos.f64 im))) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (exp.f64 re)) (.f64 1/24 (exp.f64 re))) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4)) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (exp.f64 re)) (.f64 1/24 (exp.f64 re))) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (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))
(sqrt.f64 (cos.f64 im))
(+.f64 (sqrt.f64 (cos.f64 im)) (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 im)) re)))
(+.f64 (sqrt.f64 (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 im)) re)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 im)) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (cos.f64 im)))))))
(+.f64 (sqrt.f64 (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 im)) re)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/6 (cos.f64 im)) (.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)))) (pow.f64 re 3)) (sqrt.f64 (/.f64 1 (cos.f64 im))))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (cos.f64 im))))))))
(sqrt.f64 (exp.f64 re))
(+.f64 (sqrt.f64 (exp.f64 re)) (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 2))))
(+.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 re))) (.f64 (-.f64 (.f64 1/24 (exp.f64 re)) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4)))) (.f64 -1/4 (*.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 re))) (.f64 (-.f64 (.f64 -1/720 (exp.f64 re)) (.f64 -1/4 (-.f64 (.f64 1/24 (exp.f64 re)) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))) (pow.f64 im 6)))) (+.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 re))) (.f64 (-.f64 (.f64 1/24 (exp.f64 re)) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4)))) (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 2))))))

Outputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (pow.f64 re 2) (-.f64 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/4 (cos.f64 im))) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)))))
(+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (.f64 (.f64 re re) (-.f64 (.f64 (cos.f64 im) 3/4) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2))))
(fma.f64 (cos.f64 im) re (fma.f64 (.f64 re re) (-.f64 (.f64 (cos.f64 im) 3/4) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (cos.f64 im)))
(fma.f64 (cos.f64 im) re (fma.f64 (.f64 re re) (fma.f64 (cos.f64 im) 3/4 (.f64 (cos.f64 im) -1/4)) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 (pow.f64 re 2) (-.f64 (+.f64 (.f64 1/2 (cos.f64 im)) (.f64 1/4 (cos.f64 im))) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2))))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (+.f64 (fma.f64 (cos.f64 im) re (cos.f64 im)) (.f64 (.f64 re re) (-.f64 (.f64 (cos.f64 im) 3/4) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 (cos.f64 im) re (fma.f64 (.f64 re re) (-.f64 (.f64 (cos.f64 im) 3/4) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (cos.f64 im))))
(+.f64 (fma.f64 (.f64 re re) (fma.f64 (cos.f64 im) 3/4 (.f64 (cos.f64 im) -1/4)) (cos.f64 im)) (.f64 (cos.f64 im) (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))
(.f64 (cos.f64 im) (+.f64 (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 re 1)) (.f64 (.f64 re re) 1/2)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (exp.f64 re))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (exp.f64 re))
(.f64 (+.f64 (.f64 im (*.f64 im -1/2)) 1) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (exp.f64 re)) (.f64 1/24 (exp.f64 re))) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 (-.f64 (.f64 (exp.f64 re) 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4) (exp.f64 re)))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 (-.f64 (.f64 (exp.f64 re) 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4) (exp.f64 re)))
(fma.f64 (exp.f64 re) (.f64 im (.f64 im -1/2)) (fma.f64 (fma.f64 (exp.f64 re) 5/48 (*.f64 (exp.f64 re) -1/16)) (pow.f64 im 4) (exp.f64 re)))
(fma.f64 (exp.f64 re) (.f64 im (.f64 im -1/2)) (fma.f64 (*.f64 (exp.f64 re) 1/24) (pow.f64 im 4) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (exp.f64 re)) (.f64 1/24 (exp.f64 re))) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (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 (-.f64 (.f64 (exp.f64 re) 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4) (exp.f64 re)) (.f64 (.f64 (exp.f64 re) -1/720) (pow.f64 im 6))))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 (-.f64 (.f64 (exp.f64 re) 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4) (fma.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)) (exp.f64 re))))
(fma.f64 (fma.f64 (exp.f64 re) 5/48 (.f64 (exp.f64 re) -1/16)) (pow.f64 im 4) (+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 im (*.f64 im -1/2))))))
(fma.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 im 4) (.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 im (.f64 im -1/2)) 1) (*.f64 -1/720 (pow.f64 im 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))
(sqrt.f64 (cos.f64 im))
(+.f64 (sqrt.f64 (cos.f64 im)) (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 im)) re)))
(+.f64 (sqrt.f64 (cos.f64 im)) (.f64 1/2 (.f64 re (sqrt.f64 (cos.f64 im)))))
(fma.f64 1/2 (*.f64 re (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)))
(.f64 (+.f64 (.f64 re 1/2) 1) (sqrt.f64 (cos.f64 im)))
(+.f64 (sqrt.f64 (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 im)) re)) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 im)) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (cos.f64 im)))))))
(+.f64 (sqrt.f64 (cos.f64 im)) (.f64 1/2 (+.f64 (.f64 re (sqrt.f64 (cos.f64 im))) (.f64 (-.f64 (.f64 (cos.f64 im) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (.f64 (*.f64 re re) (sqrt.f64 (/.f64 1 (cos.f64 im))))))))
(fma.f64 1/2 (fma.f64 re (sqrt.f64 (cos.f64 im)) (.f64 (.f64 re re) (.f64 (-.f64 (.f64 (cos.f64 im) 1/2) (pow.f64 (*.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (sqrt.f64 (/.f64 1 (cos.f64 im)))))) (sqrt.f64 (cos.f64 im)))
(fma.f64 1/2 (fma.f64 (fma.f64 (cos.f64 im) 1/2 (.f64 (cos.f64 im) -1/4)) (.f64 (.f64 re re) (sqrt.f64 (/.f64 1 (cos.f64 im)))) (.f64 re (sqrt.f64 (cos.f64 im)))) (sqrt.f64 (cos.f64 im)))
(fma.f64 1/2 (.f64 re (+.f64 (sqrt.f64 (cos.f64 im)) (.f64 (sqrt.f64 (/.f64 1 (cos.f64 im))) (.f64 re (.f64 (cos.f64 im) 1/4))))) (sqrt.f64 (cos.f64 im)))
(+.f64 (sqrt.f64 (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (cos.f64 im)) re)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/6 (cos.f64 im)) (.f64 1/2 (-.f64 (.f64 1/2 (cos.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)))) (pow.f64 re 3)) (sqrt.f64 (/.f64 1 (cos.f64 im))))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (cos.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (cos.f64 im))))))))
(+.f64 (sqrt.f64 (cos.f64 im)) (fma.f64 1/2 (.f64 re (sqrt.f64 (cos.f64 im))) (.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 (cos.f64 im) 1/6) (.f64 -1/2 (-.f64 (.f64 (cos.f64 im) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)))) (.f64 (pow.f64 re 3) (sqrt.f64 (/.f64 1 (cos.f64 im))))) (.f64 (-.f64 (.f64 (cos.f64 im) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2)) (.f64 (*.f64 re re) (sqrt.f64 (/.f64 1 (cos.f64 im)))))))))
(+.f64 (sqrt.f64 (cos.f64 im)) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (cos.f64 im))) (+.f64 (.f64 (pow.f64 re 3) (fma.f64 (cos.f64 im) 1/6 (.f64 -1/2 (-.f64 (.f64 (cos.f64 im) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2))))) (.f64 (.f64 re re) (-.f64 (.f64 (cos.f64 im) 1/2) (pow.f64 (.f64 1/2 (sqrt.f64 (cos.f64 im))) 2))))) (*.f64 re (sqrt.f64 (cos.f64 im))))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 1 (cos.f64 im))) (.f64 (.f64 re re) (+.f64 (.f64 re (fma.f64 -1/2 (fma.f64 (cos.f64 im) 1/2 (.f64 (cos.f64 im) -1/4)) (.f64 (cos.f64 im) 1/6))) (fma.f64 (cos.f64 im) 1/2 (.f64 (cos.f64 im) -1/4)))) (*.f64 re (sqrt.f64 (cos.f64 im)))) (sqrt.f64 (cos.f64 im)))
(fma.f64 1/2 (fma.f64 re (sqrt.f64 (cos.f64 im)) (.f64 (sqrt.f64 (/.f64 1 (cos.f64 im))) (.f64 (.f64 re re) (+.f64 (.f64 (cos.f64 im) 1/4) (.f64 re (fma.f64 1/2 (.f64 (cos.f64 im) -1/4) (*.f64 (cos.f64 im) 1/6))))))) (sqrt.f64 (cos.f64 im)))
(sqrt.f64 (exp.f64 re))
(+.f64 (sqrt.f64 (exp.f64 re)) (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 2))))
(+.f64 (sqrt.f64 (exp.f64 re)) (.f64 -1/4 (.f64 (*.f64 im im) (sqrt.f64 (exp.f64 re)))))
(fma.f64 -1/4 (.f64 (.f64 im im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(.f64 (+.f64 (.f64 (*.f64 im im) -1/4) 1) (sqrt.f64 (exp.f64 re)))
(.f64 (+.f64 (.f64 im (*.f64 im -1/4)) 1) (sqrt.f64 (exp.f64 re)))
(+.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 re))) (.f64 (-.f64 (.f64 1/24 (exp.f64 re)) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4)))) (.f64 -1/4 (*.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 2)))))
(+.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/2 (.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (.f64 (pow.f64 im 4) (-.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))) (.f64 -1/4 (.f64 (*.f64 im im) (sqrt.f64 (exp.f64 re))))))
(+.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/2 (.f64 (pow.f64 im 4) (.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (-.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))) (.f64 (.f64 im im) (*.f64 -1/4 (sqrt.f64 (exp.f64 re))))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (.f64 (fma.f64 (exp.f64 re) 1/24 (.f64 (exp.f64 re) -1/16)) (.f64 1/2 (pow.f64 im 4))) (.f64 (+.f64 (.f64 (.f64 im im) -1/4) 1) (sqrt.f64 (exp.f64 re))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (.f64 1/2 (.f64 (pow.f64 im 4) (.f64 (exp.f64 re) -1/48))) (.f64 (+.f64 (.f64 im (.f64 im -1/4)) 1) (sqrt.f64 (exp.f64 re))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 re))) (.f64 (-.f64 (.f64 -1/720 (exp.f64 re)) (.f64 -1/4 (-.f64 (.f64 1/24 (exp.f64 re)) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))) (pow.f64 im 6)))) (+.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (exp.f64 re))) (.f64 (-.f64 (.f64 1/24 (exp.f64 re)) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)) (pow.f64 im 4)))) (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 2))))))
(fma.f64 1/2 (.f64 (.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (-.f64 (.f64 (exp.f64 re) -1/720) (.f64 -1/4 (-.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2))))) (pow.f64 im 6)) (+.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/2 (.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (.f64 (pow.f64 im 4) (-.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))) (.f64 -1/4 (.f64 (*.f64 im im) (sqrt.f64 (exp.f64 re)))))))
(+.f64 (fma.f64 1/2 (.f64 (pow.f64 im 4) (.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (-.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))) (.f64 (.f64 im im) (.f64 -1/4 (sqrt.f64 (exp.f64 re))))) (fma.f64 1/2 (.f64 (pow.f64 im 6) (.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (fma.f64 (exp.f64 re) -1/720 (.f64 1/4 (-.f64 (.f64 (exp.f64 re) 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 (exp.f64 re))) 2)))))) (sqrt.f64 (exp.f64 re))))
(fma.f64 (.f64 1/2 (.f64 (pow.f64 im 6) (sqrt.f64 (exp.f64 (neg.f64 re))))) (fma.f64 1/4 (fma.f64 (exp.f64 re) 1/24 (.f64 (exp.f64 re) -1/16)) (.f64 (exp.f64 re) -1/720)) (fma.f64 (sqrt.f64 (exp.f64 (neg.f64 re))) (.f64 (fma.f64 (exp.f64 re) 1/24 (.f64 (exp.f64 re) -1/16)) (.f64 1/2 (pow.f64 im 4))) (.f64 (+.f64 (.f64 (.f64 im im) -1/4) 1) (sqrt.f64 (exp.f64 re)))))
(+.f64 (.f64 (+.f64 (.f64 im (.f64 im -1/4)) 1) (sqrt.f64 (exp.f64 re))) (.f64 (.f64 1/2 (sqrt.f64 (exp.f64 (neg.f64 re)))) (+.f64 (.f64 (pow.f64 im 4) (.f64 (exp.f64 re) -1/48)) (.f64 (pow.f64 im 6) (fma.f64 1/4 (.f64 (exp.f64 re) -1/48) (.f64 (exp.f64 re) -1/720))))))

eval61.0ms (1.5%)

Compiler: Compiled 2024 to 1019 computations (49.7% saved)

prune20.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	139	7	146

Error

Counts

146 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	10.3b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
✓	19.7b	(cos.f64 im)
▶	19.4b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	19.6b	(exp.f64 re)
▶	38.4b	(+.f64 1 re)

Compiler

Compiled 52 to 39 computations (25% saved)

localize42.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 21 computations (47.5% saved)

series7.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
1.0ms	im	@	inf	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
1.0ms	re	@	inf	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
1.0ms	im	@	-inf	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
0.0ms	re	@	-inf	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))

rewrite108.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
546×	`fma-def_binary64`
449×	`pow-prod-down_binary64`
308×	`pow2_binary64`
280×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	242	34
2	3408	34

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

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

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

simplify200.0ms (5.1%)

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	649
1	121	645
2	404	609
3	1860	588
4	3513	578
5	4273	578
6	4425	578
7	4596	578
8	4764	578
9	4986	578
10	6731	578
11	7140	578
12	7581	578

Stop Event

1×	node limit

Counts

214 → 191

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval147.0ms (3.7%)

Compiler: Compiled 3400 to 2103 computations (38.1% saved)

prune49.0ms (1.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	191	7	198

Error

Counts

198 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.2b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	10.3b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
✓	19.7b	(cos.f64 im)
✓	19.4b	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	19.6b	(exp.f64 re)
✓	38.4b	(+.f64 1 re)

Compiler

Compiled 52 to 39 computations (25% saved)

regimes24.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	im
5.0ms	re
5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(cos.f64 im)
2.0ms	(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 61 to 35 computations (42.6% saved)

regimes162.0ms (4.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

129.0ms	im
13.0ms	re
11.0ms	(cos.f64 im)
3.0ms	(exp.f64 re)
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
9.8b	3	`im`
0.6b	2	`(exp.f64 re)`
0.6b	2	`(exp.f64 re)`
9.4b	2	`(cos.f64 im)`

Compiler

Compiled 45 to 29 computations (35.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999706752342	0.9999999997306527

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	im
9.0ms	(cos.f64 im)
7.0ms	re
5.0ms	(exp.f64 re)
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
9.8b	3	`im`
0.6b	2	`(exp.f64 re)`
0.6b	2	`(exp.f64 re)`
9.4b	2	`(cos.f64 im)`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999706752342	0.9999999997306527

Compiler

Compiled 12 to 9 computations (25% saved)

regimes34.0ms (0.9%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	im
9.0ms	(cos.f64 im)
8.0ms	re
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.1b	2	`re`
10.0b	3	`im`
1.1b	2	`(exp.f64 re)`
9.6b	2	`(cos.f64 im)`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999706752342	0.9999999997306527

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.3%)

Accuracy

Total -19.1b remaining (-97.3%)

Threshold costs -19.1b (-97.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(cos.f64 im)

Calls

3 calls:

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

Results

Error	Segments	Branch
19.7b	1	`re`
19.7b	1	`im`
19.7b	1	`(cos.f64 im)`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify6.0ms (0.2%)

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	78
1	28	78

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 18446743704774670336/18446744073709551616) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2))))
(if (<=.f64 (exp.f64 re) 18446743704774670336/18446744073709551616) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 18446743704774670336/18446744073709551616) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 1 re)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 18446743704774670336/18446744073709551616) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2))))
(if (<=.f64 (exp.f64 re) 9007199074597007/9007199254740992) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2))))
(if (<=.f64 (exp.f64 re) 18446743704774670336/18446744073709551616) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 9007199074597007/9007199254740992) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 18446743704774670336/18446744073709551616) (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 9007199074597007/9007199254740992) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 1 re)
(+.f64 re 1)

Compiler

Compiled 63 to 43 computations (31.7% saved)

soundness0.0ms (0%)

end38.0ms (1%)

Compiler: Compiled 53 to 26 computations (50.9% saved)

Details

analyze55.0ms (1.4%)

sample2.3s (58.1%)

preprocess19.0ms (0.5%)

simplify6.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite40.0ms (1%)

simplify84.0ms (2.1%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series85.0ms (2.2%)

rewrite55.0ms (1.4%)

simplify124.0ms (3.1%)

localize11.0ms (0.3%)

series76.0ms (1.9%)

rewrite60.0ms (1.5%)

simplify49.0ms (1.2%)

eval61.0ms (1.5%)

prune20.0ms (0.5%)

localize42.0ms (1.1%)

series7.0ms (0.2%)

rewrite108.0ms (2.7%)

simplify200.0ms (5.1%)

localize3.0ms (0.1%)

eval147.0ms (3.7%)

prune49.0ms (1.2%)

regimes24.0ms (0.6%)

regimes162.0ms (4.1%)

bsearch0.0ms (0%)

regimes41.0ms (1%)

bsearch0.0ms (0%)

regimes34.0ms (0.9%)

bsearch0.0ms (0%)

regimes10.0ms (0.3%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end38.0ms (1%)

Profiling