Details

analyze55.0ms (0.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
80%	74.9%	18.7%	0.1%	6.2%	0%	0%	6
80%	74.9%	18.7%	0.1%	6.2%	0%	0%	7
82.8%	74.9%	15.6%	0.1%	9.4%	0%	0%	8
82.8%	74.9%	15.6%	0.1%	9.4%	0%	0%	9
84.2%	74.9%	14%	0.1%	10.9%	0%	0%	10
84.2%	74.9%	14%	0.1%	10.9%	0%	0%	11
85%	74.9%	13.3%	0.1%	11.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample3.0s (49.6%)

Results

1.2s	6207×	body	256	valid
849.0ms	1385×	body	1024	valid
369.0ms	664×	body	1024	infinite
314.0ms	431×	body	256	infinite
194.0ms	660×	body	512	valid
63.0ms	303×	body	512	infinite
3.0ms	4×	body	2048	valid

Bogosity

preprocess38.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	13	30
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 (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	15

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)

prune75.0ms (1.2%)

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)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

9 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`rational_best-1`
904×	`rational_best-simplify-47`
894×	`rational_best-simplify-51`
824×	`rational_best-2`
822×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	51	20
2	85	20
3	136	20
4	257	20
5	528	20
6	1289	20
7	4498	20
8	7584	20

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 re) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 re) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 re) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.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 +.f64 (cos.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 im)) (.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) -1) (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (.f64 im -2))) (sin.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (+.f64 (PI.f64) (.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (PI.f64) -1/2)) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2)))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 2) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 im)) (.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 im) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -4) (-.f64 (.f64 (cos.f64 im) -4) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -4) (/.f64 (.f64 (cos.f64 im) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -4) (+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -3/2) (.f64 (.f64 (cos.f64 im) -1/2) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (cos.f64 im) 6) -1) (/.f64 (.f64 (cos.f64 im) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 3/2)) (+.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -3)) (+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 im im)) (cos.f64 im)) (.f64 (sin.f64 (+.f64 im im)) (neg.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1 (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (.f64 0 (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 (sin.f64 (neg.f64 (PI.f64))) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) -1) (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) (+.f64 im im)))) (.f64 (cos.f64 im) (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) (+.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im))) (.f64 0 (sin.f64 (-.f64 (neg.f64 (PI.f64)) im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (+.f64 (PI.f64) (.f64 im -2))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (PI.f64) (.f64 im -2))) (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 (+.f64 (PI.f64) (.f64 im -2)))) (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (+.f64 (PI.f64) (.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) 0) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))) (.f64 1 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (cos.f64 im) 1/4) (.f64 (cos.f64 im) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (cos.f64 im) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (cos.f64 im) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 im) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/4 (.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) -1/2)) (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 im) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 im) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 im) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 im) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (.f64 1/2 (PI.f64)) im))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 im (.f64 1/2 (PI.f64))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 re) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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 +.f64 (cos.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 1/2) (*.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 4) (*.f64 (cos.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -4) (*.f64 (cos.f64 im) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (cos.f64 (*.f64 im -2))) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (*.f64 im -2))) (*.f64 (cos.f64 im) (cos.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (cos.f64 (-.f64 (*.f64 (PI.f64) -1/2) im))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) -1/2) im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) -1/2) im)) -1) (*.f64 0 (cos.f64 (-.f64 (*.f64 (PI.f64) -1/2) im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 im -2))) (sin.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) (cos.f64 (+.f64 (PI.f64) (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))) (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) -1/2)) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))) (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2)))) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 2) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 1/2) (*.f64 (cos.f64 im) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -1/2) (*.f64 (cos.f64 im) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 4) (*.f64 (cos.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -4) (-.f64 (*.f64 (cos.f64 im) -4) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -4) (/.f64 (*.f64 (cos.f64 im) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -4) (+.f64 (*.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 3/2) (*.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -3/2) (*.f64 (*.f64 (cos.f64 im) -1/2) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 im) 6) -1) (/.f64 (*.f64 (cos.f64 im) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 8) (*.f64 (cos.f64 im) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 6) (*.f64 (cos.f64 im) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (PI.f64)))) (*.f64 (sin.f64 im) (sin.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))) (*.f64 (sin.f64 im) (sin.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (cos.f64 (*.f64 im -2))) (*.f64 (sin.f64 (*.f64 im -2)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 im) 3/2) (*.f64 (cos.f64 im) 3/2)) (+.f64 (*.f64 (cos.f64 im) 3/2) (*.f64 (cos.f64 im) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) -3)) (+.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 im im)) (cos.f64 im)) (*.f64 (sin.f64 (+.f64 im im)) (neg.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1 (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (*.f64 0 (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) -1) (*.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) -1/2) im)) (sin.f64 (*.f64 im -2))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) -1/2) im)) (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (-.f64 (*.f64 (PI.f64) -1/2) (+.f64 im im)))) (*.f64 (cos.f64 im) (sin.f64 (-.f64 (*.f64 (PI.f64) -1/2) (+.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im))) (*.f64 0 (sin.f64 (-.f64 (neg.f64 (PI.f64)) im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 im -2))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 im -2))) (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 (+.f64 (PI.f64) (*.f64 im -2)))) (*.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (+.f64 (PI.f64) (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (PI.f64) -1/2) im)) 0) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) -1/2) im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (cos.f64 (-.f64 (*.f64 (PI.f64) -1/2) im))) (*.f64 1 (sin.f64 (-.f64 (*.f64 (PI.f64) -1/2) im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (cos.f64 im) 1/4) (*.f64 (cos.f64 im) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (cos.f64 im) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (cos.f64 im) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 im) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (PI.f64) -1/2)) (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 im (*.f64 1/2 (PI.f64))))))))

simplify117.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1508×	`rational_best-simplify-2`
1132×	`rational_best-simplify-49`
1010×	`rational_best-simplify-46`
872×	`rational_best-simplify-53`
840×	`rational_best-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	2465
1	603	2243
2	2480	2063
3	7121	2057

Stop Event

1×	node limit

Counts

105 → 160

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))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)
(+.f64 0 (*.f64 (exp.f64 re) (cos.f64 im)))
(-.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)
(/.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)
(+.f64 (cos.f64 im) 0)
(+.f64 0 (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))
(+.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 2))
(+.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) 1/2))
(+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 3))
(+.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) -3))
(+.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) -2))
(+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 4))
(+.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 5))
(+.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -4))
(+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) -1))
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) -1) (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))))
(+.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (.f64 im -2))) (sin.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (+.f64 (PI.f64) (.f64 im -2)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (PI.f64)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) -1/2)) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64))))) 0))
(+.f64 (.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2)))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))))
(-.f64 (cos.f64 im) 0)
(-.f64 0 (neg.f64 (cos.f64 im)))
(-.f64 (*.f64 (cos.f64 im) 2) (cos.f64 im))
(-.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) -2))
(-.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) -1/2))
(-.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) -3))
(-.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 im) -3/2))
(-.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) 3))
(-.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))
(-.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -4))
(-.f64 (.f64 (cos.f64 im) -4) (-.f64 (.f64 (cos.f64 im) -4) (cos.f64 im)))
(-.f64 (.f64 (cos.f64 im) -4) (/.f64 (.f64 (cos.f64 im) 5) -1))
(-.f64 (.f64 (cos.f64 im) -4) (+.f64 (.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) -3)))
(-.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 1/2))
(-.f64 (.f64 (cos.f64 im) -3/2) (.f64 (*.f64 (cos.f64 im) -1/2) 5))
(-.f64 (/.f64 (.f64 (cos.f64 im) 6) -1) (/.f64 (.f64 (cos.f64 im) 7) -1))
(-.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) 7))
(-.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) 5))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
(-.f64 (+.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 3/2)) (+.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 1/2)))
(-.f64 (+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -3)) (+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -4)))
(-.f64 (.f64 (cos.f64 (+.f64 im im)) (cos.f64 im)) (.f64 (sin.f64 (+.f64 im im)) (neg.f64 (sin.f64 im))))
(-.f64 (.f64 -1 (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (.f64 0 (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(-.f64 (.f64 (cos.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 (sin.f64 (neg.f64 (PI.f64))) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))))
(-.f64 (.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) -1) (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) 0))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 im -2)))))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) (+.f64 im im)))) (.f64 (cos.f64 im) (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) (+.f64 im im)))))
(-.f64 (.f64 -1 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im))) (.f64 0 (sin.f64 (-.f64 (neg.f64 (PI.f64)) im))))
(-.f64 (.f64 (cos.f64 (+.f64 (PI.f64) (.f64 im -2))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (PI.f64) (.f64 im -2))) (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(-.f64 (.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 (+.f64 (PI.f64) (.f64 im -2)))) (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (+.f64 (PI.f64) (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) 0) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) 1))
(-.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))) (.f64 1 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im))))
(*.f64 (cos.f64 im) 1)
(*.f64 1 (cos.f64 im))
(.f64 2 (.f64 (cos.f64 im) 1/2))
(.f64 2 (+.f64 (.f64 (cos.f64 im) 1/4) (*.f64 (cos.f64 im) 1/4)))
(.f64 (.f64 (cos.f64 im) 2) 1/2)
(*.f64 (neg.f64 (cos.f64 im)) -1)
(.f64 (.f64 (cos.f64 im) 1/2) 2)
(*.f64 -1 (neg.f64 (cos.f64 im)))
(.f64 (.f64 (cos.f64 im) -2) -1/2)
(.f64 -2 (.f64 (cos.f64 im) -1/2))
(.f64 (.f64 (cos.f64 im) -1/2) -2)
(.f64 1/2 (.f64 (cos.f64 im) 2))
(.f64 4 (.f64 (cos.f64 im) 1/4))
(.f64 (.f64 (cos.f64 im) 4) 1/4)
(.f64 (.f64 (cos.f64 im) 1/4) 4)
(.f64 1/4 (.f64 (cos.f64 im) 4))
(.f64 -1/2 (.f64 (cos.f64 im) -2))
(.f64 -1/4 (.f64 (cos.f64 im) -4))
(.f64 (.f64 (cos.f64 im) -4) -1/4)
(.f64 (sin.f64 (.f64 (PI.f64) -1/2)) (neg.f64 (cos.f64 im)))
(/.f64 (cos.f64 im) 1)
(/.f64 (*.f64 (cos.f64 im) 2) 2)
(/.f64 (neg.f64 (cos.f64 im)) -1)
(/.f64 (*.f64 (cos.f64 im) -2) -2)
(/.f64 (*.f64 (cos.f64 im) 4) 4)
(/.f64 (*.f64 (cos.f64 im) -4) -4)
(/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)
(/.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -2)
(/.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -1) 2)
(/.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -1) 2)
(pow.f64 (cos.f64 im) 1)
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))
(sin.f64 (+.f64 im (*.f64 1/2 (PI.f64))))

Outputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.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)))
(+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2)))))
(+.f64 (.f64 (cos.f64 im) (+.f64 re 1)) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 re 1)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(+.f64 (+.f64 (cos.f64 im) (.f64 (cos.f64 im) re)) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 (cos.f64 im) (*.f64 1/6 (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 (cos.f64 im) (+.f64 re 1)) (.f64 (cos.f64 im) (*.f64 1/6 (pow.f64 re 3)))))
(+.f64 (.f64 (pow.f64 re 2) (.f64 (cos.f64 im) 1/2)) (.f64 (cos.f64 im) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 re 1))))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (exp.f64 re) (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (.f64 -1/2 (pow.f64 im 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)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))))
(+.f64 (exp.f64 re) (+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (pow.f64 im 2))) (.f64 (exp.f64 re) (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (pow.f64 im 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))))))
(+.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 (exp.f64 re) (.f64 -1/720 (pow.f64 im 6))))))
(+.f64 (.f64 (exp.f64 re) (.f64 -1/2 (pow.f64 im 2))) (+.f64 (exp.f64 re) (+.f64 (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))) (.f64 (exp.f64 re) (.f64 1/24 (pow.f64 im 4))))))
(+.f64 (+.f64 (exp.f64 re) (.f64 (pow.f64 im 4) (.f64 (exp.f64 re) 1/24))) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (pow.f64 im 2)) (*.f64 -1/720 (pow.f64 im 6)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) 1))
(+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 1 (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 im 4)) (+.f64 (.f64 -1/2 (pow.f64 im 2)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 0 (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(-.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(/.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 (cos.f64 im) 0)
(cos.f64 im)
(+.f64 0 (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))
(cos.f64 im)
(+.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 2))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) 1/2))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 3))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) -3))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) -2))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 4))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 5))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -4))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (.f64 im -2))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) -1))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) im))) (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(+.f64 0 (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im)))
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) -1) (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) im))) (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(+.f64 0 (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im)))
(+.f64 (.f64 (sin.f64 (+.f64 (PI.f64) (.f64 im -2))) (sin.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (+.f64 (PI.f64) (.f64 im -2)))))
(+.f64 (.f64 (sin.f64 im) (sin.f64 (+.f64 (.f64 im -2) (PI.f64)))) (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (+.f64 (.f64 im -2) (PI.f64)))))
(+.f64 (.f64 (sin.f64 im) (sin.f64 (+.f64 (.f64 im -2) (PI.f64)))) (.f64 (cos.f64 im) (neg.f64 (cos.f64 (+.f64 (.f64 im -2) (PI.f64))))))
(+.f64 (.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (PI.f64)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(+.f64 (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (+.f64 (*.f64 im -2) (PI.f64))))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(+.f64 (.f64 (sin.f64 (+.f64 im (neg.f64 (PI.f64)))) (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (neg.f64 (+.f64 (*.f64 im -2) (PI.f64))))) (cos.f64 (+.f64 im (neg.f64 (PI.f64))))))
(+.f64 (.f64 (sin.f64 (-.f64 im (PI.f64))) (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (sin.f64 (+.f64 (+.f64 (.f64 im -2) (PI.f64)) (*.f64 1/2 (PI.f64)))) (cos.f64 (-.f64 im (PI.f64)))))
(+.f64 (.f64 (sin.f64 (.f64 (PI.f64) -1/2)) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64))))) 0))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 0 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))))
(+.f64 0 (.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (+.f64 im (+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))))))
(.f64 (sin.f64 (.f64 -1/2 (PI.f64))) (cos.f64 (+.f64 im (*.f64 (PI.f64) 1))))
(+.f64 (.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2)))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))))
(+.f64 (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (-.f64 (PI.f64) im))) (cos.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))))
(-.f64 (cos.f64 im) 0)
(cos.f64 im)
(-.f64 0 (neg.f64 (cos.f64 im)))
(cos.f64 im)
(-.f64 (*.f64 (cos.f64 im) 2) (cos.f64 im))
(cos.f64 im)
(-.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) -2))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) -1/2))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) -3))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 im) -3/2))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) 3))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -4))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -4) (-.f64 (.f64 (cos.f64 im) -4) (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -4) (/.f64 (.f64 (cos.f64 im) 5) -1))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -4) (+.f64 (.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) -3)))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 1/2))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) -3/2) (.f64 (*.f64 (cos.f64 im) -1/2) 5))
(cos.f64 im)
(-.f64 (/.f64 (.f64 (cos.f64 im) 6) -1) (/.f64 (.f64 (cos.f64 im) 7) -1))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) 7))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) 5))
(cos.f64 im)
(-.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (sin.f64 im) (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(-.f64 (+.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 3/2)) (+.f64 (.f64 (cos.f64 im) 3/2) (.f64 (cos.f64 im) 1/2)))
(cos.f64 im)
(-.f64 (+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -3)) (+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -4)))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (+.f64 im im)) (cos.f64 im)) (.f64 (sin.f64 (+.f64 im im)) (neg.f64 (sin.f64 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (+.f64 im im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 im im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (+.f64 im im))) (.f64 (sin.f64 im) (neg.f64 (sin.f64 (+.f64 im im)))))
(-.f64 (.f64 -1 (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (.f64 0 (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(-.f64 (neg.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (*.f64 0 (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(-.f64 (neg.f64 (cos.f64 (+.f64 im (neg.f64 (PI.f64))))) 0)
(neg.f64 (cos.f64 (-.f64 im (PI.f64))))
(-.f64 (.f64 (cos.f64 (neg.f64 (PI.f64))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))) (.f64 (sin.f64 (neg.f64 (PI.f64))) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64)))))))
(cos.f64 (+.f64 (neg.f64 (PI.f64)) (+.f64 (.f64 1/2 (PI.f64)) (+.f64 im (.f64 1/2 (PI.f64))))))
(cos.f64 (+.f64 (neg.f64 (PI.f64)) (+.f64 im (+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64))))))
(cos.f64 (+.f64 (*.f64 (PI.f64) 1) (-.f64 im (PI.f64))))
(-.f64 (.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) -1) (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) 0))
(-.f64 (neg.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (*.f64 0 (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(-.f64 (neg.f64 (cos.f64 (+.f64 im (neg.f64 (PI.f64))))) 0)
(neg.f64 (cos.f64 (-.f64 im (PI.f64))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 im -2)))))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) im))) (.f64 (sin.f64 (-.f64 (.f64 -1/2 (PI.f64)) im)) (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (*.f64 im -2)))))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) (+.f64 im im)))) (.f64 (cos.f64 im) (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) (+.f64 im im)))))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) (+.f64 im im)))) (.f64 (cos.f64 im) (sin.f64 (-.f64 (.f64 -1/2 (PI.f64)) (+.f64 im im)))))
(-.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) (+.f64 im im))))) (.f64 (cos.f64 im) (sin.f64 (-.f64 (.f64 -1/2 (PI.f64)) (+.f64 im im)))))
(-.f64 (.f64 -1 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im))) (.f64 0 (sin.f64 (-.f64 (neg.f64 (PI.f64)) im))))
(-.f64 (neg.f64 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im))) (*.f64 0 (sin.f64 (-.f64 (neg.f64 (PI.f64)) im))))
(-.f64 (neg.f64 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im))) 0)
(neg.f64 (cos.f64 (-.f64 (neg.f64 (PI.f64)) im)))
(-.f64 (.f64 (cos.f64 (+.f64 (PI.f64) (.f64 im -2))) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) (.f64 (sin.f64 (+.f64 (PI.f64) (.f64 im -2))) (sin.f64 (neg.f64 (-.f64 (PI.f64) im)))))
(cos.f64 (+.f64 (+.f64 (*.f64 im -2) (PI.f64)) (neg.f64 (-.f64 (PI.f64) im))))
(cos.f64 (+.f64 (*.f64 im -2) (+.f64 (PI.f64) (+.f64 im (neg.f64 (PI.f64))))))
(cos.f64 (-.f64 (+.f64 (*.f64 im -2) (PI.f64)) (-.f64 (PI.f64) im)))
(-.f64 (.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 (+.f64 (PI.f64) (.f64 im -2)))) (.f64 (sin.f64 (neg.f64 (-.f64 (PI.f64) im))) (sin.f64 (+.f64 (PI.f64) (.f64 im -2)))))
(cos.f64 (+.f64 (+.f64 (*.f64 im -2) (PI.f64)) (neg.f64 (-.f64 (PI.f64) im))))
(cos.f64 (+.f64 (*.f64 im -2) (+.f64 (PI.f64) (+.f64 im (neg.f64 (PI.f64))))))
(cos.f64 (-.f64 (+.f64 (*.f64 im -2) (PI.f64)) (-.f64 (PI.f64) im)))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) 0) (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im)) 1))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) im))) (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(+.f64 0 (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im)))
(-.f64 (.f64 0 (cos.f64 (-.f64 (.f64 (PI.f64) -1/2) im))) (.f64 1 (sin.f64 (-.f64 (.f64 (PI.f64) -1/2) im))))
(+.f64 (.f64 0 (cos.f64 (-.f64 (.f64 -1/2 (PI.f64)) im))) (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(+.f64 0 (neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im))))
(neg.f64 (sin.f64 (-.f64 (*.f64 -1/2 (PI.f64)) im)))
(*.f64 (cos.f64 im) 1)
(cos.f64 im)
(*.f64 1 (cos.f64 im))
(cos.f64 im)
(.f64 2 (.f64 (cos.f64 im) 1/2))
(cos.f64 im)
(.f64 2 (+.f64 (.f64 (cos.f64 im) 1/4) (*.f64 (cos.f64 im) 1/4)))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) 2) 1/2)
(cos.f64 im)
(*.f64 (neg.f64 (cos.f64 im)) -1)
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) 1/2) 2)
(cos.f64 im)
(*.f64 -1 (neg.f64 (cos.f64 im)))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) -2) -1/2)
(cos.f64 im)
(.f64 -2 (.f64 (cos.f64 im) -1/2))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) -1/2) -2)
(cos.f64 im)
(.f64 1/2 (.f64 (cos.f64 im) 2))
(cos.f64 im)
(.f64 4 (.f64 (cos.f64 im) 1/4))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) 4) 1/4)
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) 1/4) 4)
(cos.f64 im)
(.f64 1/4 (.f64 (cos.f64 im) 4))
(cos.f64 im)
(.f64 -1/2 (.f64 (cos.f64 im) -2))
(cos.f64 im)
(.f64 -1/4 (.f64 (cos.f64 im) -4))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) -4) -1/4)
(cos.f64 im)
(.f64 (sin.f64 (.f64 (PI.f64) -1/2)) (neg.f64 (cos.f64 im)))
(.f64 (neg.f64 (cos.f64 im)) (sin.f64 (.f64 -1/2 (PI.f64))))
(/.f64 (cos.f64 im) 1)
(cos.f64 im)
(/.f64 (*.f64 (cos.f64 im) 2) 2)
(cos.f64 im)
(/.f64 (neg.f64 (cos.f64 im)) -1)
(cos.f64 im)
(/.f64 (*.f64 (cos.f64 im) -2) -2)
(cos.f64 im)
(/.f64 (*.f64 (cos.f64 im) 4) 4)
(cos.f64 im)
(/.f64 (*.f64 (cos.f64 im) -4) -4)
(cos.f64 im)
(/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (+.f64 im (neg.f64 (PI.f64)))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 im (PI.f64))) (cos.f64 im)) -2)
(/.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -2)
(/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (+.f64 im (neg.f64 (PI.f64)))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 im (PI.f64))) (cos.f64 im)) -2)
(/.f64 (/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -1) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (+.f64 im (neg.f64 (PI.f64)))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 im (PI.f64))) (cos.f64 im)) -2)
(/.f64 (/.f64 (+.f64 (neg.f64 (cos.f64 im)) (cos.f64 (neg.f64 (-.f64 (PI.f64) im)))) -1) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 (-.f64 (PI.f64) im))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (+.f64 im (neg.f64 (PI.f64)))) (cos.f64 im)) -2)
(/.f64 (-.f64 (cos.f64 (-.f64 im (PI.f64))) (cos.f64 im)) -2)
(pow.f64 (cos.f64 im) 1)
(cos.f64 im)
(neg.f64 (neg.f64 (cos.f64 im)))
(cos.f64 im)
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))
(sin.f64 (+.f64 im (*.f64 1/2 (PI.f64))))

eval39.0ms (0.6%)

Compiler: Compiled 2457 to 1299 computations (47.1% saved)

prune28.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Error

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (*.f64 im -2)) (sin.f64 im))))
▶	0.3b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	20.3b	(*.f64 (cos.f64 im) (+.f64 re 1))
▶	19.8b	(exp.f64 re)
▶	20.5b	(cos.f64 im)

Compiler

Compiled 107 to 79 computations (26.2% saved)

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (*.f64 im -2)) (sin.f64 im))))
✓	0.2b	(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
✓	0.2b	(.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))
✓	0.2b	(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))

Compiler

Compiled 69 to 41 computations (40.6% saved)

series7.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite78.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational_best-1`
1828×	`rational_best-2`
1032×	`rational_best-4`
1032×	`rational_best-3`
1032×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	146
1	122	74
2	316	70
3	819	70
4	2625	62
5	7571	62

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 im -3)) 1/2) (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 (.f64 im -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 im) (cos.f64 (.f64 im -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 (.f64 im -3)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (.f64 im -3)) (neg.f64 (cos.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 (.f64 im -3)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 im -3)) (cos.f64 (-.f64 (neg.f64 im) (.f64 im -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cos.f64 (*.f64 im -2)) (neg.f64 (cos.f64 im))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 im -3)) 1/2) (.f64 (cos.f64 im) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 (.f64 im -3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) -1/2) (.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 im -2)) (.f64 (sin.f64 im) 1/2)) (.f64 (sin.f64 (.f64 im -2)) (.f64 (sin.f64 im) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) 1/2) (.f64 (cos.f64 im) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 im -3)) (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 im -3)) 1/2) (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 (.f64 im -3)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 im -2)) (.f64 (sin.f64 im) 1/2)) (.f64 (-.f64 (cos.f64 im) (cos.f64 (.f64 im -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) 1/2) (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (cos.f64 (.f64 im -3))) (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (cos.f64 (.f64 im -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (.f64 im -3)) (cos.f64 im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 im) (cos.f64 (.f64 im -3))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (cos.f64 (.f64 im -3))) (neg.f64 (cos.f64 im))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) (-.f64 (cos.f64 im) (cos.f64 (.f64 im -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 im) (cos.f64 (.f64 im -3))) (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))) (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (+.f64 im (.f64 1/2 (PI.f64)))) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (-.f64 0 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 im) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 im) (.f64 (cos.f64 0) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 im) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 im)) (.f64 (cos.f64 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (cos.f64 im)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (cos.f64 im)) 2) (.f64 (cos.f64 0) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 0) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 im) 2) (.f64 (cos.f64 0) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (neg.f64 (cos.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (cos.f64 im)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 im) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 im) (.f64 (cos.f64 im) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 im)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (neg.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (.f64 1/2 (PI.f64)) im))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) (exp.f64 re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 im) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 im) (exp.f64 re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 im) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)))))

simplify154.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best-simplify-2`
976×	`rational_best-simplify-49`
928×	`rational_best-simplify-46`
828×	`rational_best-simplify-51`
728×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	226	5484
1	475	3424
2	1054	2870
3	2786	2870
4	7329	2614

Stop Event

1×	node limit

Counts

138 → 156

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -5/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 41/24 (pow.f64 im 4)) (.f64 -5/2 (pow.f64 im 2))))
(+.f64 1 (+.f64 (.f64 -73/144 (pow.f64 im 6)) (+.f64 (.f64 41/24 (pow.f64 im 4)) (*.f64 -5/2 (pow.f64 im 2)))))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(*.f64 -2 (pow.f64 im 2))
(+.f64 (.f64 5/3 (pow.f64 im 4)) (.f64 -2 (pow.f64 im 2)))
(+.f64 (.f64 5/3 (pow.f64 im 4)) (+.f64 (.f64 -91/180 (pow.f64 im 6)) (*.f64 -2 (pow.f64 im 2))))
(+.f64 (.f64 41/504 (pow.f64 im 8)) (+.f64 (.f64 5/3 (pow.f64 im 4)) (+.f64 (.f64 -91/180 (pow.f64 im 6)) (.f64 -2 (pow.f64 im 2)))))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) re)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) (pow.f64 re 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) re))) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) (pow.f64 re 3))) (+.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) (pow.f64 re 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) re)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (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))) (+.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 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)))
(+.f64 (.f64 (cos.f64 (.f64 im -3)) 1/2) (*.f64 (cos.f64 im) 1/2))
(+.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 (*.f64 im -3)) 1/2))
(-.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 0)
(/.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 1)
(/.f64 (+.f64 (cos.f64 im) (cos.f64 (*.f64 im -3))) 2)
(/.f64 (.f64 (cos.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) -1)
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 im -2)) (cos.f64 im)) 4) 4)
(/.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 (*.f64 im -3)))) -2)
(/.f64 (-.f64 (cos.f64 (*.f64 im -3)) (neg.f64 (cos.f64 im))) 2)
(/.f64 (/.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 (*.f64 im -3)))) -1) 2)
(/.f64 (+.f64 (cos.f64 (.f64 im -3)) (cos.f64 (-.f64 (neg.f64 im) (.f64 im -2)))) 2)
(pow.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) 1)
(neg.f64 (.f64 (cos.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 0)
(+.f64 0 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
(+.f64 (.f64 (cos.f64 (.f64 im -3)) 1/2) (*.f64 (cos.f64 im) -1/2))
(+.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 (*.f64 im -3)) 1/2))
(+.f64 (.f64 (cos.f64 im) -1/2) (.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) 1/2))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (.f64 (sin.f64 im) 1/2)) (.f64 (sin.f64 (.f64 im -2)) (.f64 (sin.f64 im) 1/2)))
(+.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) 1/2) (.f64 (cos.f64 im) -1/2))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 0)
(-.f64 0 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))))
(-.f64 (cos.f64 (.f64 im -3)) (.f64 (cos.f64 (*.f64 im -2)) (cos.f64 im)))
(-.f64 (.f64 (cos.f64 (.f64 im -3)) 1/2) (*.f64 (cos.f64 im) 1/2))
(-.f64 (.f64 (cos.f64 im) -1/2) (.f64 (cos.f64 (*.f64 im -3)) -1/2))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (.f64 (sin.f64 im) 1/2)) (.f64 (-.f64 (cos.f64 im) (cos.f64 (*.f64 im -3))) 1/4))
(-.f64 (.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) 1/2) (.f64 (cos.f64 im) 1/2))
(-.f64 (.f64 2 (cos.f64 (.f64 im -3))) (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (cos.f64 (*.f64 im -3))))
(/.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 1)
(/.f64 (-.f64 (cos.f64 (*.f64 im -3)) (cos.f64 im)) 2)
(/.f64 (-.f64 (cos.f64 im) (cos.f64 (*.f64 im -3))) -2)
(/.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))) -1)
(/.f64 (-.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) -2)
(/.f64 (-.f64 (neg.f64 (cos.f64 (*.f64 im -3))) (neg.f64 (cos.f64 im))) -2)
(/.f64 (-.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))) -2)
(pow.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)) 1)
(neg.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))))
(+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))))
(+.f64 (cos.f64 im) 0)
(+.f64 0 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 1/2) (.f64 (cos.f64 im) 1/2))
(+.f64 (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))) (-.f64 (cos.f64 im) (cos.f64 (*.f64 im -3))))
(+.f64 (-.f64 (cos.f64 im) (cos.f64 (.f64 im -3))) (+.f64 (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)) (.f64 (sin.f64 (*.f64 im -2)) (sin.f64 im))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (sin.f64 (neg.f64 im))) (.f64 (cos.f64 (.f64 im -2)) (cos.f64 im)))
(+.f64 (.f64 (sin.f64 (+.f64 im (.f64 1/2 (PI.f64)))) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (*.f64 im -2)) (-.f64 0 (sin.f64 im))))
(*.f64 (cos.f64 im) 1)
(*.f64 (cos.f64 im) (cos.f64 0))
(.f64 (cos.f64 im) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 (cos.f64 im) (-.f64 2 (cos.f64 0)))
(*.f64 1 (cos.f64 im))
(.f64 2 (.f64 (cos.f64 im) 1/2))
(*.f64 (neg.f64 (cos.f64 im)) -1)
(.f64 (neg.f64 (cos.f64 im)) (.f64 (cos.f64 0) -1))
(*.f64 -1 (neg.f64 (cos.f64 im)))
(.f64 (.f64 (neg.f64 (cos.f64 im)) 2) -1/2)
(.f64 (.f64 (neg.f64 (cos.f64 im)) 2) (*.f64 (cos.f64 0) -1/2))
(*.f64 (cos.f64 0) (cos.f64 im))
(.f64 1/2 (.f64 (cos.f64 im) 2))
(.f64 (.f64 (cos.f64 im) 2) 1/2)
(.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 0) 1/2))
(.f64 -1/2 (.f64 (neg.f64 (cos.f64 im)) 2))
(/.f64 (cos.f64 im) 1)
(/.f64 (neg.f64 (cos.f64 im)) -1)
(/.f64 (*.f64 (neg.f64 (cos.f64 im)) 2) -2)
(/.f64 (*.f64 (cos.f64 im) 2) 2)
(/.f64 (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) 2)) -1)
(pow.f64 (cos.f64 im) 1)
(neg.f64 (neg.f64 (cos.f64 im)))
(cos.f64 im)
(cos.f64 (neg.f64 im))
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(+.f64 0 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(/.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)

Outputs
1
(+.f64 1 (*.f64 -5/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 41/24 (pow.f64 im 4)) (.f64 -5/2 (pow.f64 im 2))))
(+.f64 1 (+.f64 (.f64 -5/2 (pow.f64 im 2)) (.f64 41/24 (pow.f64 im 4))))
(+.f64 (.f64 -5/2 (pow.f64 im 2)) (+.f64 1 (.f64 41/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -73/144 (pow.f64 im 6)) (+.f64 (.f64 41/24 (pow.f64 im 4)) (*.f64 -5/2 (pow.f64 im 2)))))
(+.f64 (+.f64 (.f64 -5/2 (pow.f64 im 2)) (.f64 41/24 (pow.f64 im 4))) (+.f64 (*.f64 -73/144 (pow.f64 im 6)) 1))
(+.f64 1 (+.f64 (.f64 41/24 (pow.f64 im 4)) (+.f64 (.f64 -5/2 (pow.f64 im 2)) (*.f64 -73/144 (pow.f64 im 6)))))
(+.f64 (.f64 -5/2 (pow.f64 im 2)) (+.f64 (.f64 41/24 (pow.f64 im 4)) (+.f64 1 (*.f64 -73/144 (pow.f64 im 6)))))
(+.f64 1 (+.f64 (.f64 -5/2 (pow.f64 im 2)) (+.f64 (.f64 41/24 (pow.f64 im 4)) (*.f64 -73/144 (pow.f64 im 6)))))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(.f64 (cos.f64 im) (cos.f64 (.f64 -2 im)))
(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))
(*.f64 -2 (pow.f64 im 2))
(*.f64 (pow.f64 im 2) -2)
(+.f64 (.f64 5/3 (pow.f64 im 4)) (.f64 -2 (pow.f64 im 2)))
(+.f64 (.f64 (pow.f64 im 2) -2) (.f64 (pow.f64 im 4) 5/3))
(+.f64 (.f64 5/3 (pow.f64 im 4)) (+.f64 (.f64 -91/180 (pow.f64 im 6)) (*.f64 -2 (pow.f64 im 2))))
(+.f64 (.f64 (pow.f64 im 4) 5/3) (+.f64 (.f64 (pow.f64 im 2) -2) (*.f64 (pow.f64 im 6) -91/180)))
(+.f64 (.f64 (pow.f64 im 2) -2) (+.f64 (.f64 (pow.f64 im 4) 5/3) (*.f64 (pow.f64 im 6) -91/180)))
(+.f64 (.f64 41/504 (pow.f64 im 8)) (+.f64 (.f64 5/3 (pow.f64 im 4)) (+.f64 (.f64 -91/180 (pow.f64 im 6)) (.f64 -2 (pow.f64 im 2)))))
(+.f64 (+.f64 (.f64 (pow.f64 im 2) -2) (.f64 (pow.f64 im 6) -91/180)) (+.f64 (.f64 (pow.f64 im 4) 5/3) (.f64 41/504 (pow.f64 im 8))))
(+.f64 (.f64 (pow.f64 im 2) -2) (+.f64 (+.f64 (.f64 (pow.f64 im 4) 5/3) (.f64 (pow.f64 im 6) -91/180)) (.f64 41/504 (pow.f64 im 8))))
(+.f64 (.f64 (pow.f64 im 2) -2) (+.f64 (.f64 (pow.f64 im 4) 5/3) (+.f64 (.f64 (pow.f64 im 6) -91/180) (.f64 41/504 (pow.f64 im 8)))))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
(.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))
(.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (*.f64 (pow.f64 im 2) -1/2))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 im 2) -1/2) (.f64 (pow.f64 im 4) 1/24)))
(+.f64 (+.f64 1 (.f64 (pow.f64 im 2) -1/2)) (.f64 (pow.f64 im 4) 1/24))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 im 2) -1/2) (+.f64 (.f64 (pow.f64 im 4) 1/24) (*.f64 (pow.f64 im 6) -1/720))))
(+.f64 1 (+.f64 (.f64 (pow.f64 im 4) 1/24) (+.f64 (.f64 (pow.f64 im 2) -1/2) (*.f64 (pow.f64 im 6) -1/720))))
(+.f64 (.f64 (pow.f64 im 2) -1/2) (+.f64 1 (+.f64 (.f64 (pow.f64 im 4) 1/24) (*.f64 (pow.f64 im 6) -1/720))))
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) re)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))) re) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 (+.f64 im (.f64 im -2))) re) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 im)) re) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) (pow.f64 re 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) re))) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im))))
(-.f64 (+.f64 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))) re) (.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))) (.f64 1/2 (pow.f64 re 2)))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 (+.f64 im (.f64 im -2))) (+.f64 re (.f64 1/2 (pow.f64 re 2)))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 im)) (+.f64 re (.f64 1/2 (pow.f64 re 2)))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 im) (+.f64 re (.f64 1/2 (pow.f64 re 2)))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) (pow.f64 re 3))) (+.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) (pow.f64 re 2))) (.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (.f64 -2 im)))) re)))) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im))))
(-.f64 (+.f64 (+.f64 (.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))) re) (.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))) (.f64 1/2 (pow.f64 re 2)))) (+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2)))) (.f64 1/6 (pow.f64 re 3))))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 (+.f64 im (.f64 im -2))) (+.f64 re (.f64 1/2 (pow.f64 re 2)))) (+.f64 (.f64 (cos.f64 (+.f64 im (.f64 im -2))) (.f64 1/6 (pow.f64 re 3))) (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 (neg.f64 im)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 re (.f64 1/2 (pow.f64 re 2)))))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 (neg.f64 im)) (+.f64 re (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(-.f64 (+.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 im) (+.f64 re (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2))))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (-.f64 (.f64 (cos.f64 (.f64 -2 im)) (cos.f64 im)) (.f64 (sin.f64 im) (sin.f64 (*.f64 -2 im)))) (exp.f64 re))
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(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(.f64 (.f64 (neg.f64 (cos.f64 im)) 2) (*.f64 (cos.f64 0) -1/2))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(*.f64 (cos.f64 0) (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(.f64 1/2 (.f64 (cos.f64 im) 2))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) 2) 1/2)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 0) 1/2))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(.f64 -1/2 (.f64 (neg.f64 (cos.f64 im)) 2))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(/.f64 (cos.f64 im) 1)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(/.f64 (neg.f64 (cos.f64 im)) -1)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(/.f64 (*.f64 (neg.f64 (cos.f64 im)) 2) -2)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(/.f64 (*.f64 (cos.f64 im) 2) 2)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(/.f64 (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) 2)) -1)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(pow.f64 (cos.f64 im) 1)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(neg.f64 (neg.f64 (cos.f64 im)))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(cos.f64 im)
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 (neg.f64 im))
(cos.f64 (neg.f64 im))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (.f64 im -2))))
(cos.f64 (+.f64 im (*.f64 im -2)))
(cos.f64 im)
(sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 0 (*.f64 (cos.f64 im) (exp.f64 re)))
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(-.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(/.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)
(.f64 (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) (sin.f64 (*.f64 im -2)))) (exp.f64 re))
(.f64 (cos.f64 (+.f64 im (.f64 im -2))) (exp.f64 re))
(*.f64 (cos.f64 (neg.f64 im)) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)

Compiler

Compiled 5 to 3 computations (40% saved)

localize2.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`rational_best-1`
906×	`rational_best-simplify-47`
904×	`rational_best-simplify-51`
822×	`rational_best-2`
820×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	57	17
2	86	17
3	135	17
4	255	17
5	521	17
6	1280	17
7	4516	17
8	7609	17

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)))))

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

208×	`rational_best-simplify-1`
190×	`rational_best-simplify-43`
56×	`rational_best-simplify-2`
30×	`rational_best-simplify-17`
20×	`rational_best-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	645
1	72	645
2	113	621
3	179	621
4	257	609
5	318	609
6	337	609

Stop Event

1×

saturated

Counts

29 → 27

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 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)
(+.f64 0 (*.f64 (cos.f64 im) (+.f64 re 1)))
(-.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)
(/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)

Outputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 1 (+.f64 re (.f64 (+.f64 1 re) (.f64 -1/2 (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 re (.f64 (+.f64 1 re) (.f64 -1/2 (pow.f64 im 2)))) (+.f64 1 (.f64 (+.f64 1 re) (.f64 1/24 (pow.f64 im 4)))))
(+.f64 1 (+.f64 (+.f64 re (.f64 (+.f64 1 re) (.f64 -1/2 (pow.f64 im 2)))) (.f64 (+.f64 1 re) (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (+.f64 1 re) (.f64 (+.f64 1 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2)))))
(+.f64 1 (+.f64 re (.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(+.f64 (+.f64 1 (+.f64 re (.f64 (+.f64 1 re) (.f64 -1/2 (pow.f64 im 2))))) (+.f64 (.f64 (+.f64 1 re) (.f64 -1/720 (pow.f64 im 6))) (.f64 (+.f64 1 re) (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (+.f64 1 (+.f64 re (.f64 (+.f64 1 re) (.f64 -1/2 (pow.f64 im 2))))) (+.f64 (.f64 (+.f64 1 re) (.f64 1/24 (pow.f64 im 4))) (.f64 (+.f64 1 re) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (+.f64 1 re) (+.f64 (.f64 (+.f64 1 re) (.f64 -1/2 (pow.f64 im 2))) (.f64 (+.f64 1 re) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4))))))
(+.f64 1 (+.f64 (+.f64 re (.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 -1/720 (pow.f64 im 6))))) (.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4)))))
(+.f64 (+.f64 1 re) (.f64 (+.f64 1 re) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 1/24 (pow.f64 im 4))) (.f64 -1/2 (pow.f64 im 2)))))
(+.f64 re (+.f64 1 (.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.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 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 0 (*.f64 (cos.f64 im) (+.f64 re 1)))
(*.f64 (+.f64 1 re) (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)
(*.f64 (+.f64 1 re) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)
(*.f64 (+.f64 1 re) (cos.f64 im))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)
(*.f64 (+.f64 1 re) (cos.f64 im))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
✓	0.0b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
✓	0.2b	(*.f64 (cos.f64 im) 3)
✓	0.5b	(-.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series3.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
0.0ms	im	@	-inf	(-.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))
0.0ms	im	@	inf	(-.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))
0.0ms	re	@	0	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
0.0ms	im	@	-inf	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))

rewrite153.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`rational_best-1`
1924×	`rational_best-4`
1924×	`rational_best-2`
1924×	`rational_best-3`
930×	`rational_best-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	85	31
2	136	31
3	233	31
4	466	31
5	1205	31
6	5538	31

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs
(-.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) 2))
(*.f64 (cos.f64 im) 3)
(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 6) (*.f64 (cos.f64 im) -5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 5) (+.f64 (*.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 4) (*.f64 (cos.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -4) (*.f64 (cos.f64 im) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -6) (+.f64 (*.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -5) (*.f64 (cos.f64 im) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -5) (-.f64 (*.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 12) (-.f64 0 (*.f64 (cos.f64 im) 11)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) -10))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) 8) (*.f64 (cos.f64 im) -7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) -8) (-.f64 (*.f64 (cos.f64 im) 6) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (cos.f64 im) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 6) (*.f64 (cos.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) -5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) -6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 4) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -4) (*.f64 (cos.f64 im) -7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -5) (*.f64 (cos.f64 im) -8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -5) (-.f64 (*.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -5) (-.f64 (*.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 12) (*.f64 (cos.f64 im) 9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 12) (-.f64 (*.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 11) (-.f64 (*.f64 (cos.f64 im) 10) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 8) (*.f64 (cos.f64 im) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 10) (*.f64 (cos.f64 im) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 14) (*.f64 (cos.f64 im) 11))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) -7) (-.f64 (*.f64 (cos.f64 im) -5) (*.f64 (cos.f64 im) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 11 (neg.f64 (cos.f64 im))) (*.f64 (cos.f64 im) -14))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 11 (neg.f64 (cos.f64 im))) (-.f64 (*.f64 12 (neg.f64 (cos.f64 im))) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 7) (*.f64 (cos.f64 im) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 9) (-.f64 (*.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) 9) (-.f64 (*.f64 (cos.f64 im) 8) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 im) -3))))))

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

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1578×	`rational_best-simplify-44`
1498×	`rational_best-simplify-43`
1142×	`rational_best-simplify-49`
1092×	`rational_best-simplify-46`
1050×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	6206
1	882	3580
2	3023	3518

Stop Event

1×	node limit

Counts

244 → 263

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
3
(+.f64 3 (*.f64 -3/2 (pow.f64 im 2)))
(+.f64 (.f64 1/8 (pow.f64 im 4)) (+.f64 3 (.f64 -3/2 (pow.f64 im 2))))
(+.f64 (.f64 -1/240 (pow.f64 im 6)) (+.f64 (.f64 1/8 (pow.f64 im 4)) (+.f64 3 (*.f64 -3/2 (pow.f64 im 2)))))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 3 (cos.f64 im)) (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re)) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 3 (cos.f64 im)) (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (.f64 1/2 (.f64 (pow.f64 re 2) (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))))))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 3 (cos.f64 im)) (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))))) (.f64 1/2 (.f64 (pow.f64 re 2) (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))))))) (*.f64 2 (cos.f64 im)))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (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) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(+.f64 (cos.f64 im) 0)
(+.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) -2))
(+.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))
(+.f64 0 (cos.f64 im))
(+.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 2))
(+.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) -5))
(+.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -4))
(+.f64 (.f64 (cos.f64 im) 5) (+.f64 (.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 2)))
(+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 3))
(+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 4))
(+.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) -3))
(+.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 5))
(+.f64 (.f64 (cos.f64 im) -6) (.f64 (cos.f64 im) 7))
(+.f64 (.f64 (cos.f64 im) -6) (+.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) -4)))
(+.f64 (.f64 (cos.f64 im) -5) (.f64 (cos.f64 im) 6))
(+.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) -3)))
(+.f64 (.f64 (cos.f64 im) 12) (-.f64 0 (.f64 (cos.f64 im) 11)))
(+.f64 (.f64 (cos.f64 im) 11) (.f64 (cos.f64 im) -10))
(+.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) -7))
(+.f64 (.f64 (cos.f64 im) -8) (-.f64 (.f64 (cos.f64 im) 6) (*.f64 (cos.f64 im) -3)))
(+.f64 (.f64 (cos.f64 im) -10) (.f64 (cos.f64 im) 11))
(+.f64 (.f64 (cos.f64 im) -10) (-.f64 (.f64 (cos.f64 im) 6) (*.f64 (cos.f64 im) -5)))
(+.f64 (.f64 (cos.f64 im) 10) (+.f64 (.f64 (cos.f64 im) -5) (*.f64 (cos.f64 im) -4)))
(+.f64 (.f64 (cos.f64 im) 10) (-.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) 11)))
(+.f64 (.f64 (cos.f64 im) 14) (-.f64 (.f64 (cos.f64 im) -2) (*.f64 (cos.f64 im) 11)))
(+.f64 (.f64 (cos.f64 im) -7) (.f64 (cos.f64 im) 8))
(+.f64 (.f64 (cos.f64 im) -9) (+.f64 (.f64 (cos.f64 im) 11) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 12 (neg.f64 (cos.f64 im))) (+.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 2)))
(+.f64 (.f64 11 (neg.f64 (cos.f64 im))) (-.f64 0 (.f64 12 (neg.f64 (cos.f64 im)))))
(+.f64 (.f64 (cos.f64 im) 7) (.f64 (cos.f64 im) -6))
(+.f64 (.f64 (cos.f64 im) 9) (.f64 (cos.f64 im) -8))
(+.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 11)))
(+.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) 10)))
(+.f64 (.f64 (cos.f64 0) (cos.f64 (neg.f64 im))) (.f64 (sin.f64 (neg.f64 im)) (sin.f64 0)))
(*.f64 (cos.f64 im) 1)
(*.f64 (cos.f64 im) (cos.f64 0))
(.f64 (cos.f64 im) (.f64 (cos.f64 0) (cos.f64 0)))
(*.f64 (cos.f64 im) (-.f64 2 (cos.f64 0)))
(.f64 (cos.f64 im) (.f64 -1 (neg.f64 (cos.f64 0))))
(.f64 (cos.f64 im) (.f64 2 (*.f64 (cos.f64 0) 1/2)))
(.f64 (cos.f64 im) (.f64 (cos.f64 0) (*.f64 (cos.f64 0) (cos.f64 0))))
(.f64 (cos.f64 im) (.f64 (cos.f64 0) (-.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (neg.f64 (cos.f64 0)) -2))
(*.f64 (cos.f64 im) (-.f64 3 (-.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 3 (+.f64 1 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 3 (.f64 2 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 3 (cos.f64 0)) 2))
(.f64 (cos.f64 im) (-.f64 (.f64 3 (cos.f64 0)) (-.f64 3 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 3 (cos.f64 0)) (+.f64 1 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 3 (cos.f64 0)) (*.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) -2) 2))
(*.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) -2) (-.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) -2) (+.f64 1 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) -2) (.f64 2 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 2 (.f64 (cos.f64 0) (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 2 (-.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (-.f64 3 (cos.f64 0)) 1))
(*.f64 (cos.f64 im) (-.f64 (-.f64 3 (cos.f64 0)) (cos.f64 0)))
(.f64 (cos.f64 im) (-.f64 (-.f64 3 (cos.f64 0)) (.f64 (cos.f64 0) (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (-.f64 3 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) 1))
(*.f64 (cos.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (cos.f64 0)))
(.f64 (cos.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (.f64 (cos.f64 0) (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 2 (cos.f64 0)) 1))
(.f64 (cos.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (cos.f64 0)))
(.f64 (cos.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (*.f64 (cos.f64 0) (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 -1 (-.f64 (cos.f64 0) 3)))
(*.f64 (cos.f64 im) (-.f64 (neg.f64 (cos.f64 0)) (-.f64 (cos.f64 0) 3)))
(.f64 (cos.f64 im) (-.f64 6 (.f64 (cos.f64 0) 5)))
(*.f64 (cos.f64 im) (-.f64 6 (-.f64 6 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 (cos.f64 0) 6) 5))
(.f64 (cos.f64 im) (-.f64 (.f64 (cos.f64 0) 6) (*.f64 (cos.f64 0) 5)))
(.f64 (cos.f64 im) (-.f64 (.f64 (cos.f64 0) 6) (-.f64 6 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 5 (+.f64 3 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 (.f64 (cos.f64 0) 5) 4))
(.f64 (cos.f64 im) (-.f64 (.f64 (cos.f64 0) 5) (+.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (-.f64 6 (cos.f64 0)) 4))
(*.f64 (cos.f64 im) (-.f64 (-.f64 6 (cos.f64 0)) (+.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 -2 (-.f64 -2 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) 3) -3))
(*.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) 3) (-.f64 -2 (cos.f64 0))))
(.f64 (cos.f64 im) (-.f64 4 (.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 4 (-.f64 (cos.f64 0) -2)))
(*.f64 (cos.f64 im) (-.f64 (+.f64 3 (cos.f64 0)) 3))
(.f64 (cos.f64 im) (-.f64 (+.f64 3 (cos.f64 0)) (.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (-.f64 (+.f64 3 (cos.f64 0)) (-.f64 (cos.f64 0) -2)))
(*.f64 (cos.f64 im) (-.f64 (-.f64 (cos.f64 0) 6) -6))
(*.f64 (cos.f64 im) (+.f64 2 (neg.f64 (cos.f64 0))))
(.f64 (cos.f64 im) (+.f64 -2 (.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (+.f64 -2 (-.f64 (cos.f64 0) -2)))
(.f64 (cos.f64 im) (+.f64 -1 (.f64 2 (cos.f64 0))))
(*.f64 (cos.f64 im) (+.f64 -1 (-.f64 3 (cos.f64 0))))
(*.f64 (cos.f64 im) (+.f64 -1 (+.f64 1 (cos.f64 0))))
(*.f64 (cos.f64 im) (+.f64 3 (-.f64 (cos.f64 0) 3)))
(.f64 2 (.f64 (cos.f64 im) 1/2))
(.f64 (.f64 (cos.f64 im) 2) 1/2)
(.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 0) 1/2))
(*.f64 1 (cos.f64 im))
(*.f64 (neg.f64 (cos.f64 im)) -1)
(*.f64 (neg.f64 (cos.f64 im)) (neg.f64 (cos.f64 0)))
(.f64 (neg.f64 (cos.f64 im)) (.f64 (cos.f64 0) (neg.f64 (cos.f64 0))))
(*.f64 (neg.f64 (cos.f64 im)) (-.f64 -2 (neg.f64 (cos.f64 0))))
(*.f64 (neg.f64 (cos.f64 im)) (+.f64 (cos.f64 0) -2))
(*.f64 -1 (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 0) (cos.f64 im))
(.f64 (.f64 (cos.f64 im) -2) -1/2)
(.f64 (.f64 (cos.f64 im) -2) (*.f64 (cos.f64 0) -1/2))
(.f64 -2 (.f64 (cos.f64 im) -1/2))
(.f64 (.f64 (cos.f64 im) 1/2) 2)
(*.f64 (+.f64 (cos.f64 im) (cos.f64 (neg.f64 im))) 1/2)
(.f64 (.f64 (cos.f64 0) (cos.f64 0)) (cos.f64 im))
(*.f64 (neg.f64 (cos.f64 0)) (neg.f64 (cos.f64 im)))
(.f64 1/2 (.f64 (cos.f64 im) 2))
(.f64 (.f64 (cos.f64 im) -1/2) -2)
(.f64 -1/2 (.f64 (cos.f64 im) -2))
(.f64 (-.f64 (cos.f64 0) 3) (.f64 (cos.f64 im) -1/2))
(*.f64 (-.f64 2 (cos.f64 0)) (cos.f64 im))
(.f64 (-.f64 3 (cos.f64 0)) (.f64 (cos.f64 im) 1/2))
(.f64 (+.f64 1 (cos.f64 0)) (.f64 (cos.f64 im) 1/2))
(.f64 (.f64 2 (cos.f64 0)) (*.f64 (cos.f64 im) 1/2))
(/.f64 (cos.f64 im) 1)
(/.f64 (*.f64 (cos.f64 im) 2) 2)
(/.f64 (neg.f64 (cos.f64 im)) -1)
(/.f64 (*.f64 (cos.f64 im) -2) -2)
(/.f64 (+.f64 (cos.f64 im) (cos.f64 (neg.f64 im))) 2)
(/.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 (neg.f64 im)))) -2)
(/.f64 (/.f64 (neg.f64 (+.f64 (cos.f64 im) (cos.f64 (neg.f64 im)))) -1) 2)
(/.f64 (-.f64 (cos.f64 (neg.f64 im)) (neg.f64 (cos.f64 im))) 2)
(pow.f64 (cos.f64 im) 1)
(neg.f64 (neg.f64 (cos.f64 im)))
(cos.f64 im)
(sin.f64 (-.f64 (*.f64 (PI.f64) 1/2) im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) 2))
(+.f64 (*.f64 (cos.f64 im) 3) 0)
(+.f64 (*.f64 (cos.f64 im) 2) (cos.f64 im))
(+.f64 0 (*.f64 (cos.f64 im) 3))
(+.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 4))
(+.f64 (neg.f64 (cos.f64 im)) (-.f64 (*.f64 (cos.f64 im) 5) (cos.f64 im)))
(+.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) -3))
(+.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -2))
(+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 5))
(+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 6))
(+.f64 (.f64 (cos.f64 im) -3) (-.f64 (.f64 (cos.f64 im) 5) (neg.f64 (cos.f64 im))))
(+.f64 (*.f64 (cos.f64 im) 4) (neg.f64 (cos.f64 im)))
(+.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 7))
(+.f64 (.f64 (cos.f64 im) -5) (.f64 (cos.f64 im) 8))
(+.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) -3)))
(+.f64 (.f64 (cos.f64 im) 12) (-.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) 11)))
(+.f64 (.f64 (cos.f64 im) 11) (-.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) 10)))
(+.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) -5))
(+.f64 (.f64 (cos.f64 im) -10) (+.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 2)))
(+.f64 (.f64 (cos.f64 im) 14) (-.f64 0 (.f64 (cos.f64 im) 11)))
(+.f64 (.f64 (cos.f64 im) -7) (-.f64 (.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) -5)))
(+.f64 (.f64 (cos.f64 im) -9) (+.f64 (.f64 (cos.f64 im) 11) (cos.f64 im)))
(+.f64 (.f64 11 (neg.f64 (cos.f64 im))) (.f64 (cos.f64 im) 14))
(+.f64 (.f64 (cos.f64 im) 7) (.f64 (cos.f64 im) -4))
(+.f64 (.f64 (cos.f64 im) 9) (.f64 (cos.f64 im) -6))
(+.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) 11)))
(-.f64 (cos.f64 im) (*.f64 (cos.f64 im) -2))
(-.f64 (*.f64 (cos.f64 im) 3) 0)
(-.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))
(-.f64 0 (*.f64 (cos.f64 im) -3))
(-.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) -4))
(-.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) 3))
(-.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) 2))
(-.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) -5))
(-.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -6))
(-.f64 (*.f64 (cos.f64 im) 4) (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) -7))
(-.f64 (.f64 (cos.f64 im) -5) (.f64 (cos.f64 im) -8))
(-.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) 5)))
(-.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 2)))
(-.f64 (.f64 (cos.f64 im) 12) (.f64 (cos.f64 im) 9))
(-.f64 (.f64 (cos.f64 im) 12) (-.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 2)))
(-.f64 (.f64 (cos.f64 im) 11) (-.f64 (.f64 (cos.f64 im) 10) (*.f64 (cos.f64 im) 2)))
(-.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) 5))
(-.f64 (.f64 (cos.f64 im) 10) (.f64 (cos.f64 im) 7))
(-.f64 (.f64 (cos.f64 im) 14) (.f64 (cos.f64 im) 11))
(-.f64 (.f64 (cos.f64 im) -7) (-.f64 (.f64 (cos.f64 im) -5) (*.f64 (cos.f64 im) 5)))
(-.f64 (.f64 11 (neg.f64 (cos.f64 im))) (.f64 (cos.f64 im) -14))
(-.f64 (.f64 11 (neg.f64 (cos.f64 im))) (-.f64 (.f64 12 (neg.f64 (cos.f64 im))) (*.f64 (cos.f64 im) 2)))
(-.f64 (.f64 (cos.f64 im) 7) (.f64 (cos.f64 im) 4))
(-.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 5)))
(-.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 8) (*.f64 (cos.f64 im) 2)))
(/.f64 (*.f64 (cos.f64 im) 3) 1)
(/.f64 (*.f64 (cos.f64 im) 6) 2)
(/.f64 (*.f64 (cos.f64 im) -3) -1)
(pow.f64 (*.f64 (cos.f64 im) 3) 1)
(neg.f64 (*.f64 (cos.f64 im) -3))
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(+.f64 0 (*.f64 (cos.f64 im) (exp.f64 re)))
(-.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(/.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/720 (pow.f64 im 6))) (+.f64 1 (*.f64 -1/2 (pow.f64 im 2))))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 im 2))) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6))))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
3
(+.f64 3 (*.f64 -3/2 (pow.f64 im 2)))
(+.f64 3 (*.f64 (pow.f64 im 2) -3/2))
(+.f64 (.f64 1/8 (pow.f64 im 4)) (+.f64 3 (.f64 -3/2 (pow.f64 im 2))))
(+.f64 (.f64 (pow.f64 im 2) -3/2) (+.f64 3 (.f64 (pow.f64 im 4) 1/8)))
(+.f64 3 (+.f64 (.f64 (pow.f64 im 2) -3/2) (.f64 (pow.f64 im 4) 1/8)))
(+.f64 (.f64 -1/240 (pow.f64 im 6)) (+.f64 (.f64 1/8 (pow.f64 im 4)) (+.f64 3 (*.f64 -3/2 (pow.f64 im 2)))))
(+.f64 (+.f64 3 (.f64 (pow.f64 im 2) -3/2)) (+.f64 (.f64 (pow.f64 im 4) 1/8) (*.f64 (pow.f64 im 6) -1/240)))
(+.f64 (.f64 (pow.f64 im 2) -3/2) (+.f64 (+.f64 3 (.f64 (pow.f64 im 4) 1/8)) (*.f64 (pow.f64 im 6) -1/240)))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(-.f64 (+.f64 (.f64 3 (cos.f64 im)) (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re)) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (.f64 3 (cos.f64 im))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 (cos.f64 im) re) (.f64 3 (cos.f64 im))) (*.f64 2 (cos.f64 im)))
(-.f64 (.f64 (cos.f64 im) (+.f64 3 re)) (.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 3 (cos.f64 im)) (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (.f64 1/2 (.f64 (pow.f64 re 2) (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))))))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) (pow.f64 re 2))) (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (.f64 3 (cos.f64 im)))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 (cos.f64 im) re) (+.f64 (.f64 3 (cos.f64 im)) (.f64 (cos.f64 im) (.f64 1/2 (pow.f64 re 2))))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 (cos.f64 im) (.f64 1/2 (pow.f64 re 2))) (.f64 (cos.f64 im) (+.f64 3 re))) (.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 3 (cos.f64 im)) (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))))) (.f64 1/2 (.f64 (pow.f64 re 2) (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))))))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) (pow.f64 re 2))) (.f64 1/6 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) (pow.f64 re 3)))) (+.f64 (.f64 (-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im))) re) (.f64 3 (cos.f64 im)))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 (cos.f64 im) re) (+.f64 (.f64 3 (cos.f64 im)) (+.f64 (.f64 (cos.f64 im) (.f64 1/2 (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))))) (*.f64 2 (cos.f64 im)))
(-.f64 (+.f64 (.f64 (cos.f64 im) (+.f64 re (.f64 1/6 (pow.f64 re 3)))) (.f64 (.f64 (cos.f64 im) 1/2) (+.f64 6 (pow.f64 re 2)))) (*.f64 2 (cos.f64 im)))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.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))
(+.f64 (exp.f64 re) (.f64 -1/2 (.f64 (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 (exp.f64 re) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re))) (.f64 -1/2 (.f64 (pow.f64 im 2) (exp.f64 re)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 im 2) (exp.f64 re))) (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (pow.f64 im 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))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 im 2) (exp.f64 re))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 im 6) (exp.f64 re))) (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 im 2) (exp.f64 re))) (+.f64 (exp.f64 re) (+.f64 (.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re))) (.f64 -1/720 (.f64 (pow.f64 im 6) (exp.f64 re))))))
(+.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)))) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (pow.f64 im 2)) (*.f64 -1/720 (pow.f64 im 6)))))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(.f64 (exp.f64 re) (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 (cos.f64 im) 0)
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 3) (.f64 (cos.f64 im) -2))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 0 (cos.f64 im))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 2))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) -5))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -4))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 5) (+.f64 (.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 2)))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 3))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 4))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) 4) (.f64 (cos.f64 im) -3))
(-.f64 (.f64 3 (cos.f64 im)) (.f64 2 (cos.f64 im)))
(cos.f64 im)
(+.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 5))
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(+.f64 0 (*.f64 (cos.f64 im) 3))
(*.f64 3 (cos.f64 im))
(+.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) 4))
(*.f64 3 (cos.f64 im))
(+.f64 (neg.f64 (cos.f64 im)) (-.f64 (*.f64 (cos.f64 im) 5) (cos.f64 im)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) -3))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) -2))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) 5))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) 6))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -3) (-.f64 (.f64 (cos.f64 im) 5) (neg.f64 (cos.f64 im))))
(*.f64 3 (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) 4) (neg.f64 (cos.f64 im)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) 7))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -5) (.f64 (cos.f64 im) 8))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) -3)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 12) (-.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) 11)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 11) (-.f64 (.f64 (cos.f64 im) 2) (*.f64 (cos.f64 im) 10)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) -5))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -10) (+.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 2)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 14) (-.f64 0 (.f64 (cos.f64 im) 11)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -7) (-.f64 (.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) -5)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) -9) (+.f64 (.f64 (cos.f64 im) 11) (cos.f64 im)))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 11 (neg.f64 (cos.f64 im))) (.f64 (cos.f64 im) 14))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 7) (.f64 (cos.f64 im) -4))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 9) (.f64 (cos.f64 im) -6))
(*.f64 3 (cos.f64 im))
(+.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 5) (*.f64 (cos.f64 im) 11)))
(*.f64 3 (cos.f64 im))
(-.f64 (cos.f64 im) (*.f64 (cos.f64 im) -2))
(*.f64 3 (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) 3) 0)
(*.f64 3 (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) 2) (neg.f64 (cos.f64 im)))
(*.f64 3 (cos.f64 im))
(-.f64 0 (*.f64 (cos.f64 im) -3))
(*.f64 3 (cos.f64 im))
(-.f64 (neg.f64 (cos.f64 im)) (*.f64 (cos.f64 im) -4))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 6) (.f64 (cos.f64 im) 3))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 5) (.f64 (cos.f64 im) 2))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -2) (.f64 (cos.f64 im) -5))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -3) (.f64 (cos.f64 im) -6))
(*.f64 3 (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) 4) (cos.f64 im))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -4) (.f64 (cos.f64 im) -7))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -5) (.f64 (cos.f64 im) -8))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) -3) (*.f64 (cos.f64 im) 5)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -5) (-.f64 (.f64 (cos.f64 im) -6) (*.f64 (cos.f64 im) 2)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 12) (.f64 (cos.f64 im) 9))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 12) (-.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 2)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 11) (-.f64 (.f64 (cos.f64 im) 10) (*.f64 (cos.f64 im) 2)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 8) (.f64 (cos.f64 im) 5))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 10) (.f64 (cos.f64 im) 7))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 14) (.f64 (cos.f64 im) 11))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) -7) (-.f64 (.f64 (cos.f64 im) -5) (*.f64 (cos.f64 im) 5)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 11 (neg.f64 (cos.f64 im))) (.f64 (cos.f64 im) -14))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 11 (neg.f64 (cos.f64 im))) (-.f64 (.f64 12 (neg.f64 (cos.f64 im))) (*.f64 (cos.f64 im) 2)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 7) (.f64 (cos.f64 im) 4))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 11) (*.f64 (cos.f64 im) 5)))
(*.f64 3 (cos.f64 im))
(-.f64 (.f64 (cos.f64 im) 9) (-.f64 (.f64 (cos.f64 im) 8) (*.f64 (cos.f64 im) 2)))
(*.f64 3 (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) 3) 1)
(*.f64 3 (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) 6) 2)
(*.f64 3 (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) -3) -1)
(*.f64 3 (cos.f64 im))
(pow.f64 (*.f64 (cos.f64 im) 3) 1)
(*.f64 3 (cos.f64 im))
(neg.f64 (*.f64 (cos.f64 im) -3))
(*.f64 3 (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 0 (*.f64 (cos.f64 im) (exp.f64 re)))
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(-.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(/.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 1)
(.f64 (-.f64 (.f64 3 (cos.f64 im)) (*.f64 2 (cos.f64 im))) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))

eval577.0ms (9.5%)

Compiler: Compiled 17161 to 10145 computations (40.9% saved)

prune331.0ms (5.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	963	3	966
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	964	8	972

Error

Counts

972 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.6b	(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
▶	39.9b	(+.f64 1 re)
✓	0.3b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	20.3b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	19.8b	(exp.f64 re)
✓	20.5b	(cos.f64 im)
	40.0b	1

Compiler

Compiled 62 to 47 computations (24.2% saved)

localize3.0ms (0%)

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

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 im)
	0.2b	(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
	0.2b	(.f64 (sin.f64 (.f64 im -2)) (sin.f64 im))
	0.2b	(.f64 (cos.f64 im) (cos.f64 (.f64 im -2)))

Compiler

Compiled 48 to 30 computations (37.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(sin.f64 im)
0.0ms	im	@	inf	(sin.f64 im)
0.0ms	im	@	-inf	(sin.f64 im)

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1128×	`rational_best-simplify-46`
1058×	`rational_best-simplify-49`
800×	`rational_best-simplify-43`
774×	`rational_best-4`
774×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	33	5
2	90	5
3	166	5
4	348	5
5	964	5
6	2985	5

Stop Event

1×	node limit

Counts

1 → 108

Calls

Call 1

Inputs
(sin.f64 im)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) 2) (neg.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 im)) (*.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) 1/2) (*.f64 (sin.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) (*.f64 (sin.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (-.f64 0 (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (sin.f64 (*.f64 im -2)) (neg.f64 (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (sin.f64 (+.f64 im im)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))) (-.f64 (*.f64 (sin.f64 im) 2) (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (sin.f64 im) 2)) (-.f64 (*.f64 (sin.f64 im) 2) (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (sin.f64 im) 2) (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) 3) (*.f64 (neg.f64 (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im -2))) (neg.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (cos.f64 im))) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 im -2)) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 im)) (sin.f64 (neg.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) 3/2)) (neg.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 im im)) (cos.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 im)) (sin.f64 (*.f64 im -2))) (*.f64 (sin.f64 (+.f64 im (+.f64 im (*.f64 1/2 (PI.f64))))) (neg.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 im (+.f64 im (*.f64 1/2 (PI.f64))))) (neg.f64 (sin.f64 im))) (*.f64 (neg.f64 (cos.f64 im)) (sin.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) (cos.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2))))) (*.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (*.f64 im -2)))) (neg.f64 (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 im (+.f64 im (PI.f64)))))) (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (PI.f64)) (+.f64 im (+.f64 im (PI.f64))))) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (cos.f64 (*.f64 (PI.f64) -3/2))) (*.f64 (sin.f64 (*.f64 (PI.f64) -3/2)) (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 im) 2) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 im) 1/2) (/.f64 (sin.f64 im) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) (*.f64 (neg.f64 (sin.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) (+.f64 (neg.f64 (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))) (-.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 im) -2) (/.f64 (*.f64 (neg.f64 (sin.f64 im)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 im) -2) (/.f64 (*.f64 (sin.f64 im) 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (sin.f64 im) 2)) (-.f64 (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))) (*.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 im) 4) (*.f64 (sin.f64 im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 im) 3) (*.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sin.f64 im) 4) 2) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))) -2) (/.f64 (*.f64 (neg.f64 (sin.f64 im)) (-.f64 (cos.f64 (*.f64 im -2)) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))) -1) (/.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))) (+.f64 (*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))) (*.f64 (cos.f64 im) (sin.f64 (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (cos.f64 (+.f64 im (neg.f64 (PI.f64))))) (*.f64 (cos.f64 0) (sin.f64 (+.f64 im (neg.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (cos.f64 (+.f64 (+.f64 im im) (*.f64 (PI.f64) -1/2)))) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (+.f64 im im) (*.f64 (PI.f64) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 im -2)) (cos.f64 (-.f64 0 (+.f64 im (PI.f64))))) (*.f64 (sin.f64 (+.f64 im (+.f64 im (*.f64 1/2 (PI.f64))))) (sin.f64 (-.f64 0 (+.f64 im (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (cos.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))) (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (sin.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (cos.f64 (*.f64 (PI.f64) -2))) (*.f64 (sin.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (sin.f64 (*.f64 (PI.f64) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (*.f64 (sin.f64 im) (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (PI.f64) -1/2) (*.f64 im -2))) (neg.f64 (cos.f64 im))) (*.f64 (sin.f64 (+.f64 (*.f64 (PI.f64) -1/2) (*.f64 im -2))) (neg.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (cos.f64 (*.f64 (neg.f64 im) 4))) (*.f64 (sin.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (sin.f64 (*.f64 (neg.f64 im) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (cos.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))) (*.f64 (sin.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (sin.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (cos.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (+.f64 (+.f64 1 (cos.f64 0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 (+.f64 1 (cos.f64 0)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 (+.f64 1 (cos.f64 0)) (*.f64 (cos.f64 0) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 2 (*.f64 (cos.f64 0) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 (cos.f64 0) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 (cos.f64 0) (+.f64 (+.f64 1 (cos.f64 0)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 1/2 (+.f64 1 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (*.f64 1/2 (*.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (/.f64 (cos.f64 (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 2 (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 2 (+.f64 (+.f64 1 (cos.f64 0)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (+.f64 (+.f64 1 (cos.f64 0)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 (*.f64 2 (cos.f64 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 (*.f64 2 (cos.f64 0)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 (*.f64 2 (cos.f64 0)) (-.f64 2 (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (-.f64 (*.f64 2 (cos.f64 0)) (+.f64 (+.f64 1 (cos.f64 0)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 0) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) 2) (*.f64 (cos.f64 0) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) 2) (-.f64 1 (*.f64 (cos.f64 0) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 im)) (cos.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 im)) (cos.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 im)) (*.f64 (cos.f64 0) (cos.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 im)) (/.f64 (cos.f64 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) 1/2) (+.f64 1 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) 1/2) (*.f64 2 (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 0)) (*.f64 (sin.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (PI.f64)) (neg.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 0) 1/2) (*.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (cos.f64 0)) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 (cos.f64 0)) -1) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cos.f64 0)) (*.f64 (sin.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 im) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2)))) (-.f64 (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2))) (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3)))) (-.f64 (cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (*.f64 im 3))) (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 im) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) -1/2) im) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 im) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 im (*.f64 (PI.f64) -1/2)))))))

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational_best-simplify-1`
1096×	`rational_best-simplify-2`
872×	`rational_best-simplify-50`
848×	`rational_best-simplify-53`
796×	`rational_best-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	3072
1	679	3052
2	1752	2988
3	4386	2898

Stop Event

1×	node limit

Counts

112 → 163

Calls

Call 1

Inputs
im
(+.f64 (*.f64 -1/6 (pow.f64 im 3)) im)
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 1/120 (pow.f64 im 5)) im))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 (*.f64 1/120 (pow.f64 im 5)) im)))
(+.f64 (sin.f64 im) 0)
(+.f64 0 (sin.f64 im))
(+.f64 (*.f64 (sin.f64 im) 2) (neg.f64 (sin.f64 im)))
(+.f64 (neg.f64 (sin.f64 im)) (*.f64 (sin.f64 im) 2))
(+.f64 (.f64 (sin.f64 im) 1/2) (.f64 (sin.f64 im) 1/2))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) 2) (.f64 (sin.f64 im) 3))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (-.f64 0 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (*.f64 (sin.f64 (+.f64 im im)) (cos.f64 im)))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (-.f64 (.f64 (sin.f64 im) 2) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(+.f64 (-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) 2)) (-.f64 (.f64 (sin.f64 im) 2) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(+.f64 (-.f64 (.f64 (sin.f64 im) 2) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))))
(+.f64 (.f64 (sin.f64 im) 3) (.f64 (neg.f64 (sin.f64 im)) 2))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im -2))) (neg.f64 (sin.f64 im))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (cos.f64 im))) (sin.f64 im))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 (*.f64 (PI.f64) 3/2)) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 (sin.f64 (+.f64 im im)) (cos.f64 im)) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))))
(+.f64 (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (neg.f64 (sin.f64 im))) (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (.f64 im -2))))
(+.f64 (.f64 (sin.f64 im) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2)))) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 im (+.f64 im (PI.f64)))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 im (+.f64 im (PI.f64))))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)))))
(+.f64 (.f64 (sin.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (cos.f64 (.f64 (PI.f64) -3/2))) (.f64 (sin.f64 (.f64 (PI.f64) -3/2)) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2)))))
(-.f64 (sin.f64 im) 0)
(-.f64 0 (neg.f64 (sin.f64 im)))
(-.f64 (*.f64 (sin.f64 im) 2) (sin.f64 im))
(-.f64 (neg.f64 (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) 2))
(-.f64 (*.f64 (sin.f64 im) 1/2) (/.f64 (sin.f64 im) -2))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) 2) (.f64 (neg.f64 (sin.f64 im)) 3))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) 2) (+.f64 (neg.f64 (sin.f64 im)) (.f64 (neg.f64 (sin.f64 im)) 2)))
(-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (*.f64 (sin.f64 im) 2)))
(-.f64 (/.f64 (sin.f64 im) -2) (/.f64 (*.f64 (neg.f64 (sin.f64 im)) 3) 2))
(-.f64 (/.f64 (sin.f64 im) -2) (/.f64 (*.f64 (sin.f64 im) 3) -2))
(-.f64 (-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) 2)) (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) 2)))
(-.f64 (.f64 (sin.f64 im) 4) (.f64 (sin.f64 im) 3))
(-.f64 (.f64 (sin.f64 im) 3) (.f64 (sin.f64 im) 2))
(-.f64 (/.f64 (*.f64 (sin.f64 im) 4) 2) (sin.f64 im))
(-.f64 (/.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) -2) (/.f64 (.f64 (neg.f64 (sin.f64 im)) (-.f64 (cos.f64 (.f64 im -2)) 1)) -2))
(-.f64 (/.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) -1) (/.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) -1))
(-.f64 (+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2)))) (+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 0 (cos.f64 (+.f64 im (neg.f64 (PI.f64))))) (.f64 (cos.f64 0) (sin.f64 (+.f64 im (neg.f64 (PI.f64))))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (+.f64 (+.f64 im im) (.f64 (PI.f64) -1/2)))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (+.f64 im im) (.f64 (PI.f64) -1/2)))))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (cos.f64 (-.f64 0 (+.f64 im (PI.f64))))) (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (sin.f64 (-.f64 0 (+.f64 im (PI.f64))))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (cos.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))))
(-.f64 (.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (cos.f64 (.f64 (PI.f64) -2))) (.f64 (sin.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 (.f64 (PI.f64) -2))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (sin.f64 im) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (.f64 im -2))) (neg.f64 (cos.f64 im))) (.f64 (sin.f64 (+.f64 (.f64 (PI.f64) -1/2) (.f64 im -2))) (neg.f64 (sin.f64 im))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (cos.f64 (.f64 (neg.f64 im) 4))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 (.f64 (neg.f64 im) 4))))
(-.f64 (.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (cos.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))) (.f64 (sin.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))))
(*.f64 (sin.f64 im) 1)
(*.f64 (sin.f64 im) (cos.f64 0))
(*.f64 (sin.f64 im) (-.f64 2 (cos.f64 0)))
(*.f64 (sin.f64 im) (+.f64 (+.f64 1 (cos.f64 0)) -1))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (cos.f64 0)) 1/2))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (cos.f64 0)) (*.f64 (cos.f64 0) 1/2)))
(.f64 (sin.f64 im) (.f64 2 (*.f64 (cos.f64 0) 1/2)))
(.f64 (sin.f64 im) (.f64 (cos.f64 0) (-.f64 2 (cos.f64 0))))
(.f64 (sin.f64 im) (.f64 (cos.f64 0) (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(.f64 (sin.f64 im) (.f64 1/2 (+.f64 1 (cos.f64 0))))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 2 (cos.f64 0))))
(*.f64 (sin.f64 im) (/.f64 (cos.f64 (PI.f64)) -1))
(*.f64 (sin.f64 im) (-.f64 2 (-.f64 2 (cos.f64 0))))
(*.f64 (sin.f64 im) (-.f64 2 (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(*.f64 (sin.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(*.f64 (sin.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) 1))
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (cos.f64 0)))
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(*.f64 1 (sin.f64 im))
(.f64 2 (.f64 (sin.f64 im) 1/2))
(*.f64 (cos.f64 0) (sin.f64 im))
(.f64 1/2 (.f64 (sin.f64 im) 2))
(.f64 (.f64 (sin.f64 im) 2) 1/2)
(.f64 (.f64 (sin.f64 im) 2) (*.f64 (cos.f64 0) 1/2))
(.f64 (.f64 (sin.f64 im) 2) (-.f64 1 (*.f64 (cos.f64 0) 1/2)))
(*.f64 (neg.f64 (sin.f64 im)) -1)
(*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (PI.f64)))
(*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (neg.f64 (PI.f64))))
(.f64 (neg.f64 (sin.f64 im)) (.f64 (cos.f64 0) (cos.f64 (neg.f64 (PI.f64)))))
(*.f64 (neg.f64 (sin.f64 im)) (/.f64 (cos.f64 0) -1))
(.f64 (.f64 (sin.f64 im) 1/2) 2)
(.f64 (.f64 (sin.f64 im) 1/2) (+.f64 1 (cos.f64 0)))
(.f64 (.f64 (sin.f64 im) 1/2) (*.f64 2 (cos.f64 0)))
(.f64 (+.f64 1 (cos.f64 0)) (.f64 (sin.f64 im) 1/2))
(.f64 (.f64 (neg.f64 (sin.f64 im)) 2) -1/2)
(*.f64 (cos.f64 (PI.f64)) (neg.f64 (sin.f64 im)))
(*.f64 (cos.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 im)))
(.f64 (.f64 (cos.f64 0) 1/2) (*.f64 (sin.f64 im) 2))
(*.f64 (-.f64 2 (cos.f64 0)) (sin.f64 im))
(*.f64 (+.f64 (+.f64 1 (cos.f64 0)) -1) (sin.f64 im))
(.f64 (.f64 2 (cos.f64 0)) (*.f64 (sin.f64 im) 1/2))
(/.f64 (sin.f64 im) 1)
(/.f64 (*.f64 (sin.f64 im) 2) 2)
(/.f64 (neg.f64 (sin.f64 im)) -1)
(/.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) -2)
(/.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2)))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))))) -2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))))) -2)
(/.f64 (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2)))) (-.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 im))) 2)
(/.f64 (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)))) (-.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 im))) 2)
(/.f64 (+.f64 (sin.f64 im) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) -1/2) im) (PI.f64)))) 2)
(/.f64 (+.f64 (sin.f64 im) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))) 2)
(pow.f64 (sin.f64 im) 1)
(neg.f64 (neg.f64 (sin.f64 im)))
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))
(cos.f64 (+.f64 im (*.f64 (PI.f64) -1/2)))

Outputs
im
(+.f64 (*.f64 -1/6 (pow.f64 im 3)) im)
(+.f64 im (*.f64 -1/6 (pow.f64 im 3)))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 1/120 (pow.f64 im 5)) im))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (.f64 1/120 (pow.f64 im 5))))
(+.f64 im (+.f64 (.f64 -1/6 (pow.f64 im 3)) (.f64 1/120 (pow.f64 im 5))))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 (*.f64 1/120 (pow.f64 im 5)) im)))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(+.f64 (+.f64 (.f64 -1/6 (pow.f64 im 3)) (.f64 1/120 (pow.f64 im 5))) (+.f64 im (*.f64 -1/5040 (pow.f64 im 7))))
(+.f64 im (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(+.f64 (sin.f64 im) 0)
(sin.f64 im)
(+.f64 0 (sin.f64 im))
(sin.f64 im)
(+.f64 (*.f64 (sin.f64 im) 2) (neg.f64 (sin.f64 im)))
(sin.f64 im)
(+.f64 (neg.f64 (sin.f64 im)) (*.f64 (sin.f64 im) 2))
(sin.f64 im)
(+.f64 (.f64 (sin.f64 im) 1/2) (.f64 (sin.f64 im) 1/2))
(sin.f64 im)
(+.f64 (.f64 (neg.f64 (sin.f64 im)) 2) (.f64 (sin.f64 im) 3))
(sin.f64 im)
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (-.f64 0 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (*.f64 (sin.f64 (+.f64 im im)) (cos.f64 im)))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (*.f64 (cos.f64 im) (sin.f64 (+.f64 im im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (*.f64 (cos.f64 im) (sin.f64 (+.f64 im im))))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (-.f64 (.f64 (sin.f64 im) 2) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(+.f64 (.f64 (sin.f64 im) 2) (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (-.f64 (neg.f64 (cos.f64 (.f64 im -2))) 2)))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (-.f64 -2 (cos.f64 (.f64 im -2)))))
(+.f64 (-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) 2)) (-.f64 (.f64 (sin.f64 im) 2) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(+.f64 (-.f64 (.f64 (sin.f64 im) 2) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (sin.f64 (*.f64 im -2))))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (-.f64 (.f64 (sin.f64 im) 2) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(+.f64 (.f64 (sin.f64 im) 2) (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (-.f64 (neg.f64 (cos.f64 (.f64 im -2))) 2)))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (-.f64 -2 (cos.f64 (.f64 im -2)))))
(+.f64 (.f64 (sin.f64 im) 3) (.f64 (neg.f64 (sin.f64 im)) 2))
(sin.f64 im)
(+.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im -2))) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (.f64 im -2) (.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (sin.f64 im) (neg.f64 (sin.f64 (+.f64 (.f64 im -2) (.f64 1/2 (PI.f64)))))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (cos.f64 im))) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (neg.f64 (cos.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (sin.f64 im) (*.f64 (cos.f64 im) (neg.f64 (sin.f64 (neg.f64 (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (neg.f64 (PI.f64)))) (.f64 (sin.f64 (*.f64 (PI.f64) 3/2)) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (neg.f64 (PI.f64)))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (*.f64 (PI.f64) 3/2))))
(+.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (neg.f64 (PI.f64))))) (.f64 (sin.f64 im) (neg.f64 (sin.f64 (*.f64 (PI.f64) 3/2)))))
(+.f64 (.f64 (sin.f64 (+.f64 im im)) (cos.f64 im)) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (*.f64 (cos.f64 im) (sin.f64 (+.f64 im im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (*.f64 (cos.f64 im) (sin.f64 (+.f64 im im))))
(+.f64 (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (+.f64 im im) (.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (neg.f64 (sin.f64 (+.f64 (+.f64 im im) (.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (neg.f64 (sin.f64 im))) (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (.f64 im -2))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (+.f64 im im) (.f64 1/2 (PI.f64))))))
(+.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (neg.f64 (sin.f64 (+.f64 (+.f64 im im) (.f64 1/2 (PI.f64)))))))
(+.f64 (.f64 (sin.f64 im) (cos.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2))))) (.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) (.f64 im -2)))) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (cos.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (neg.f64 (cos.f64 im)) (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))))
(+.f64 (.f64 (sin.f64 im) (cos.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64))))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (neg.f64 (+.f64 (.f64 im -2) (PI.f64)))))))
(+.f64 (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (cos.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 im (+.f64 im (PI.f64)))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (PI.f64)) (+.f64 im (+.f64 im (PI.f64))))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)))))
(+.f64 (.f64 (sin.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (cos.f64 (.f64 (PI.f64) -3/2))) (.f64 (sin.f64 (.f64 (PI.f64) -3/2)) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2)))))
(-.f64 (sin.f64 im) 0)
(sin.f64 im)
(-.f64 0 (neg.f64 (sin.f64 im)))
(sin.f64 im)
(-.f64 (*.f64 (sin.f64 im) 2) (sin.f64 im))
(sin.f64 im)
(-.f64 (neg.f64 (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) 2))
(sin.f64 im)
(-.f64 (*.f64 (sin.f64 im) 1/2) (/.f64 (sin.f64 im) -2))
(sin.f64 im)
(-.f64 (.f64 (neg.f64 (sin.f64 im)) 2) (.f64 (neg.f64 (sin.f64 im)) 3))
(sin.f64 im)
(-.f64 (.f64 (neg.f64 (sin.f64 im)) 2) (+.f64 (neg.f64 (sin.f64 im)) (.f64 (neg.f64 (sin.f64 im)) 2)))
(sin.f64 im)
(-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (*.f64 (sin.f64 im) 2)))
(+.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (-.f64 (.f64 (sin.f64 im) 2) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(+.f64 (.f64 (sin.f64 im) 2) (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (*.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (-.f64 (neg.f64 (cos.f64 (.f64 im -2))) 2)))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (-.f64 -2 (cos.f64 (.f64 im -2)))))
(-.f64 (/.f64 (sin.f64 im) -2) (/.f64 (*.f64 (neg.f64 (sin.f64 im)) 3) 2))
(sin.f64 im)
(-.f64 (/.f64 (sin.f64 im) -2) (/.f64 (*.f64 (sin.f64 im) 3) -2))
(sin.f64 im)
(-.f64 (-.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 im) 2)) (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) 2)))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(-.f64 (.f64 (sin.f64 im) 4) (.f64 (sin.f64 im) 3))
(sin.f64 im)
(-.f64 (.f64 (sin.f64 im) 3) (.f64 (sin.f64 im) 2))
(sin.f64 im)
(-.f64 (/.f64 (*.f64 (sin.f64 im) 4) 2) (sin.f64 im))
(sin.f64 im)
(-.f64 (/.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) -2) (/.f64 (.f64 (neg.f64 (sin.f64 im)) (-.f64 (cos.f64 (.f64 im -2)) 1)) -2))
(/.f64 (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (+.f64 (cos.f64 (.f64 im -2)) -1))) -2)
(/.f64 (-.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) (.f64 (sin.f64 im) (neg.f64 (+.f64 (cos.f64 (.f64 im -2)) -1)))) -2)
(-.f64 (/.f64 (.f64 (cos.f64 im) (sin.f64 (.f64 im -2))) -1) (/.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) -1))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (neg.f64 (cos.f64 im))))
(+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (sin.f64 (.f64 im -2)))) (.f64 (sin.f64 im) (cos.f64 (.f64 im -2))))
(-.f64 (+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2)))) (+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 (.f64 im -2)) (+.f64 (neg.f64 (sin.f64 im)) (neg.f64 (sin.f64 im)))) (+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 im -2))) (.f64 (cos.f64 im) (sin.f64 (.f64 im -2)))))
(-.f64 (.f64 (.f64 (sin.f64 im) -2) (cos.f64 (.f64 im -2))) (+.f64 (.f64 (sin.f64 im) (neg.f64 (cos.f64 (.f64 im -2)))) (.f64 (cos.f64 im) (sin.f64 (*.f64 im -2)))))
(-.f64 (.f64 0 (cos.f64 (+.f64 im (neg.f64 (PI.f64))))) (.f64 (cos.f64 0) (sin.f64 (+.f64 im (neg.f64 (PI.f64))))))
(-.f64 0 (*.f64 (cos.f64 0) (sin.f64 (+.f64 im (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (cos.f64 0) (sin.f64 (+.f64 im (neg.f64 (PI.f64))))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (+.f64 (+.f64 im im) (.f64 (PI.f64) -1/2)))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (+.f64 im im) (.f64 (PI.f64) -1/2)))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (+.f64 (+.f64 im im) (.f64 (PI.f64) -1/2)))) (.f64 (sin.f64 im) (neg.f64 (sin.f64 (+.f64 (+.f64 im im) (.f64 (PI.f64) -1/2))))))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (cos.f64 (-.f64 0 (+.f64 im (PI.f64))))) (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (sin.f64 (-.f64 0 (+.f64 im (PI.f64))))))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (cos.f64 (neg.f64 (+.f64 im (PI.f64))))) (.f64 (sin.f64 (+.f64 im (+.f64 im (.f64 1/2 (PI.f64))))) (sin.f64 (neg.f64 (+.f64 im (PI.f64))))))
(-.f64 (.f64 (sin.f64 (.f64 im -2)) (cos.f64 (neg.f64 (+.f64 im (PI.f64))))) (.f64 (sin.f64 (+.f64 (+.f64 im im) (.f64 1/2 (PI.f64)))) (sin.f64 (neg.f64 (+.f64 im (PI.f64))))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (cos.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))))
(cos.f64 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)) (neg.f64 (+.f64 im (+.f64 im (PI.f64))))))
(-.f64 (.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (cos.f64 (.f64 (PI.f64) -2))) (.f64 (sin.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 (.f64 (PI.f64) -2))))
(cos.f64 (+.f64 (+.f64 im (.f64 (PI.f64) 3/2)) (.f64 -2 (PI.f64))))
(cos.f64 (+.f64 im (*.f64 (PI.f64) -1/2)))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (sin.f64 im) (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im -2)))))
(-.f64 (.f64 (cos.f64 im) (sin.f64 (+.f64 im im))) (.f64 (sin.f64 im) (sin.f64 (+.f64 (.f64 im -2) (.f64 1/2 (PI.f64))))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 (PI.f64) -1/2) (.f64 im -2))) (neg.f64 (cos.f64 im))) (.f64 (sin.f64 (+.f64 (.f64 (PI.f64) -1/2) (.f64 im -2))) (neg.f64 (sin.f64 im))))
(-.f64 (.f64 (neg.f64 (cos.f64 im)) (cos.f64 (+.f64 (.f64 im -2) (.f64 (PI.f64) -1/2)))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (.f64 im -2) (.f64 (PI.f64) -1/2)))))
(-.f64 (.f64 (cos.f64 im) (neg.f64 (cos.f64 (+.f64 (.f64 im -2) (.f64 (PI.f64) -1/2))))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (+.f64 (.f64 im -2) (.f64 (PI.f64) -1/2)))))
(-.f64 (.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (cos.f64 (.f64 (neg.f64 im) 4))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 (.f64 (neg.f64 im) 4))))
(cos.f64 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)) (*.f64 4 (neg.f64 im))))
(cos.f64 (+.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)) (*.f64 im -4)))
(cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (+.f64 (.f64 im 3) (*.f64 im -4))))
(cos.f64 (+.f64 (*.f64 1/2 (PI.f64)) (neg.f64 im)))
(-.f64 (.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (cos.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))) (.f64 (sin.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 (neg.f64 (+.f64 im (+.f64 im (PI.f64)))))))
(cos.f64 (+.f64 (+.f64 im (*.f64 (PI.f64) 3/2)) (neg.f64 (+.f64 im (+.f64 im (PI.f64))))))
(*.f64 (sin.f64 im) 1)
(sin.f64 im)
(*.f64 (sin.f64 im) (cos.f64 0))
(sin.f64 im)
(*.f64 (sin.f64 im) (-.f64 2 (cos.f64 0)))
(sin.f64 im)
(*.f64 (sin.f64 im) (+.f64 (+.f64 1 (cos.f64 0)) -1))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 (+.f64 1 (cos.f64 0)) 1/2))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 (+.f64 1 (cos.f64 0)) (*.f64 (cos.f64 0) 1/2)))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 2 (*.f64 (cos.f64 0) 1/2)))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 (cos.f64 0) (-.f64 2 (cos.f64 0))))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 (cos.f64 0) (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 1/2 (+.f64 1 (cos.f64 0))))
(sin.f64 im)
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 2 (cos.f64 0))))
(sin.f64 im)
(*.f64 (sin.f64 im) (/.f64 (cos.f64 (PI.f64)) -1))
(*.f64 (sin.f64 im) (neg.f64 (cos.f64 (PI.f64))))
(*.f64 (sin.f64 im) (-.f64 2 (-.f64 2 (cos.f64 0))))
(sin.f64 im)
(*.f64 (sin.f64 im) (-.f64 2 (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(sin.f64 im)
(*.f64 (sin.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(*.f64 (sin.f64 im) (-.f64 (cos.f64 0) (-.f64 2 (+.f64 1 (cos.f64 0)))))
(*.f64 (sin.f64 im) (+.f64 (cos.f64 0) (-.f64 (+.f64 1 (cos.f64 0)) 2)))
(*.f64 (sin.f64 im) (+.f64 (cos.f64 0) (+.f64 -1 (cos.f64 0))))
(*.f64 (sin.f64 im) (-.f64 (+.f64 1 (cos.f64 0)) (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(sin.f64 im)
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) 1))
(sin.f64 im)
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (cos.f64 0)))
(sin.f64 im)
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (-.f64 2 (cos.f64 0))))
(.f64 (sin.f64 im) (+.f64 (cos.f64 0) (-.f64 (.f64 2 (cos.f64 0)) 2)))
(.f64 (sin.f64 im) (-.f64 (.f64 2 (cos.f64 0)) (+.f64 (+.f64 1 (cos.f64 0)) -1)))
(sin.f64 im)
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(.f64 2 (.f64 (sin.f64 im) 1/2))
(sin.f64 im)
(*.f64 (cos.f64 0) (sin.f64 im))
(sin.f64 im)
(.f64 1/2 (.f64 (sin.f64 im) 2))
(sin.f64 im)
(.f64 (.f64 (sin.f64 im) 2) 1/2)
(sin.f64 im)
(.f64 (.f64 (sin.f64 im) 2) (*.f64 (cos.f64 0) 1/2))
(sin.f64 im)
(.f64 (.f64 (sin.f64 im) 2) (-.f64 1 (*.f64 (cos.f64 0) 1/2)))
(sin.f64 im)
(*.f64 (neg.f64 (sin.f64 im)) -1)
(sin.f64 im)
(*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (PI.f64)))
(*.f64 (sin.f64 im) (neg.f64 (cos.f64 (PI.f64))))
(*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (neg.f64 (PI.f64))))
(.f64 (neg.f64 (sin.f64 im)) (.f64 (cos.f64 0) (cos.f64 (neg.f64 (PI.f64)))))
(*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (neg.f64 (PI.f64))))
(*.f64 (neg.f64 (sin.f64 im)) (/.f64 (cos.f64 0) -1))
(sin.f64 im)
(.f64 (.f64 (sin.f64 im) 1/2) 2)
(sin.f64 im)
(.f64 (.f64 (sin.f64 im) 1/2) (+.f64 1 (cos.f64 0)))
(sin.f64 im)
(.f64 (.f64 (sin.f64 im) 1/2) (*.f64 2 (cos.f64 0)))
(sin.f64 im)
(.f64 (+.f64 1 (cos.f64 0)) (.f64 (sin.f64 im) 1/2))
(sin.f64 im)
(.f64 (.f64 (neg.f64 (sin.f64 im)) 2) -1/2)
(sin.f64 im)
(*.f64 (cos.f64 (PI.f64)) (neg.f64 (sin.f64 im)))
(*.f64 (sin.f64 im) (neg.f64 (cos.f64 (PI.f64))))
(*.f64 (cos.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 im)))
(*.f64 (neg.f64 (sin.f64 im)) (cos.f64 (neg.f64 (PI.f64))))
(.f64 (.f64 (cos.f64 0) 1/2) (*.f64 (sin.f64 im) 2))
(sin.f64 im)
(*.f64 (-.f64 2 (cos.f64 0)) (sin.f64 im))
(sin.f64 im)
(*.f64 (+.f64 (+.f64 1 (cos.f64 0)) -1) (sin.f64 im))
(sin.f64 im)
(.f64 (.f64 2 (cos.f64 0)) (*.f64 (sin.f64 im) 1/2))
(sin.f64 im)
(/.f64 (sin.f64 im) 1)
(sin.f64 im)
(/.f64 (*.f64 (sin.f64 im) 2) 2)
(sin.f64 im)
(/.f64 (neg.f64 (sin.f64 im)) -1)
(sin.f64 im)
(/.f64 (*.f64 (neg.f64 (sin.f64 im)) 2) -2)
(sin.f64 im)
(/.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (*.f64 (PI.f64) 3/2)))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))))) -2)
(/.f64 (+.f64 (sin.f64 im) (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))))) -2)
(/.f64 (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2)))) (-.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 im))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 im (.f64 (PI.f64) 3/2))))) -2)
(/.f64 (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)))) (-.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 im))) 2)
(/.f64 (-.f64 (-.f64 (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))) (sin.f64 im)) (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))))) -2)
(/.f64 (+.f64 (sin.f64 im) (-.f64 (+.f64 (sin.f64 im) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3)))) (cos.f64 (+.f64 (.f64 1/2 (PI.f64)) (.f64 im 3))))) 2)
(/.f64 (+.f64 (sin.f64 im) (cos.f64 (-.f64 (-.f64 (*.f64 (PI.f64) -1/2) im) (PI.f64)))) 2)
(/.f64 (+.f64 (sin.f64 im) (cos.f64 (-.f64 (neg.f64 (PI.f64)) (+.f64 im (*.f64 1/2 (PI.f64)))))) 2)
(pow.f64 (sin.f64 im) 1)
(sin.f64 im)
(neg.f64 (neg.f64 (sin.f64 im)))
(sin.f64 im)
(cos.f64 (-.f64 (*.f64 1/2 (PI.f64)) im))
(cos.f64 (+.f64 im (*.f64 (PI.f64) -1/2)))
(cos.f64 (+.f64 (+.f64 im (.f64 (PI.f64) 3/2)) (.f64 -2 (PI.f64))))

eval110.0ms (1.8%)

Compiler: Compiled 6288 to 4117 computations (34.5% saved)

prune168.0ms (2.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	279	8	287

Error

Counts

287 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.6b	(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
✓	39.9b	(+.f64 1 re)
✓	0.3b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	20.3b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	19.8b	(exp.f64 re)
✓	20.5b	(cos.f64 im)
	40.0b	1

Compiler

Compiled 62 to 47 computations (24.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.6b	(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
✓	39.9b	(+.f64 1 re)
✓	0.3b	(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	20.3b	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	19.8b	(exp.f64 re)
✓	20.5b	(cos.f64 im)
	40.0b	1

Compiler

Compiled 62 to 47 computations (24.2% saved)

regimes374.0ms (6.2%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(+.f64 1 re)
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 re 1))
(*.f64 (exp.f64 re) (cos.f64 im))
(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) 3) (*.f64 (cos.f64 im) 2)))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (.f64 im -2)) (sin.f64 im)))
(.f64 (exp.f64 re) (-.f64 (.f64 (cos.f64 im) (cos.f64 (.f64 im -2))) (.f64 (sin.f64 (*.f64 im -2)) (sin.f64 im))))

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

Calls

5 calls:

353.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	im
6.0ms	re
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 87 to 52 computations (40.2% saved)

regimes91.0ms (1.5%)

Counts

5 → 2

Calls

Call 1

Inputs
1
(+.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

4 calls:

59.0ms	(cos.f64 im)
18.0ms	im
9.0ms	re
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
11.4b	3	`im`
0.6b	2	`(exp.f64 re)`
11.4b	2	`(cos.f64 im)`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9809635602830692	0.9999999999999902

Compiler

Compiled 12 to 9 computations (25% saved)

regimes35.0ms (0.6%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
1.0b	2	`re`
11.5b	3	`im`
1.0b	2	`(exp.f64 re)`
11.5b	2	`(cos.f64 im)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9809635602830692	0.9999999999999902

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(cos.f64 im)

Calls

3 calls:

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

Results

Error	Segments	Branch
20.5b	1	`re`
20.5b	1	`im`
20.5b	1	`(cos.f64 im)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(+.f64 1 re)

Outputs
(+.f64 1 re)

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Error	Segments	Branch
39.9b	1	`re`
39.9b	1	`im`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 1 re)
1

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 1 re)
1

Compiler

Compiled 45 to 32 computations (28.9% saved)

soundness0.0ms (0%)

end30.0ms (0.5%)

Compiler: Compiled 35 to 17 computations (51.4% saved)

Details

analyze55.0ms (0.9%)

sample3.0s (49.6%)

preprocess38.0ms (0.6%)

simplify10.0ms (0.2%)

eval0.0ms (0%)

prune75.0ms (1.2%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite86.0ms (1.4%)

simplify117.0ms (1.9%)

eval39.0ms (0.6%)

prune28.0ms (0.5%)

localize33.0ms (0.5%)

series7.0ms (0.1%)

rewrite78.0ms (1.3%)

simplify154.0ms (2.5%)

localize4.0ms (0.1%)

localize2.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.3%)

simplify25.0ms (0.4%)

localize15.0ms (0.2%)

series3.0ms (0.1%)

rewrite153.0ms (2.5%)

simplify91.0ms (1.5%)

eval577.0ms (9.5%)

prune331.0ms (5.5%)

localize3.0ms (0%)

localize27.0ms (0.4%)

series0.0ms (0%)

rewrite61.0ms (1%)

simplify101.0ms (1.7%)

eval110.0ms (1.8%)

prune168.0ms (2.8%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes374.0ms (6.2%)

regimes91.0ms (1.5%)

bsearch0.0ms (0%)

regimes35.0ms (0.6%)

bsearch0.0ms (0%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end30.0ms (0.5%)

Profiling