Metrics for math.exp on complex, real part

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 7 to 7 computations (0.0% saved)

sample1.6s (44.2%)

Memory

-92.9MiB live, 2 008.8MiB allocated; 1.5s collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-cos: 339.0ms (66.0% of total)

ival-exp: 97.0ms (18.9% of total)

ival-mult!: 76.0ms (14.8% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess41.0ms (1.1%)

Memory

-2.4MiB live, 48.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	60	32
2	245	32
3	1343	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series11.0ms (0.3%)

Memory

35.3MiB live, 35.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	250

Stop Event

1×	iter-limit

Counts

5 → 18

Calls

Call 1

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

Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	re	-inf
1.0ms	re	inf
0.0ms	im	inf
0.0ms	im	0
0.0ms	im	-inf

rewrite169.0ms (4.7%)

Memory

-28.9MiB live, 365.2MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	22	11
2	123	11
3	657	11
0	4058	11

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

5 → 259

Calls

Call 1

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

Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 re))) (sqrt.f64 (neg.f64 (exp.f64 re))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) (sinh.f64 re))) (sinh.f64 re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re))))) (-.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re)))))
(/.f64 (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cosh.f64 re)))) (+.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sinh.f64 (neg.f64 re))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (neg.f64 (sinh.f64 (neg.f64 re))) (neg.f64 (sinh.f64 (neg.f64 re)))) (.f64 (cosh.f64 re) (neg.f64 (sinh.f64 (neg.f64 re)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cosh.f64 re)) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (fma.f64 (neg.f64 (cosh.f64 re)) (neg.f64 (cosh.f64 re)) (*.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (sinh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (cosh.f64 re))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(neg.f64 (neg.f64 (exp.f64 re)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))) (/.f64 (exp.f64 re) #s(literal 2 binary64)) (sinh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) #s(literal 1 binary64)) (cosh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (neg.f64 (sinh.f64 (neg.f64 re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (sinh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64) (cosh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 re))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 re)) (sinh.f64 re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (neg.f64 re)))
(exp.f64 re)
(+.f64 (/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 re))
(+.f64 (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 re))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)))
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(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))))) (.f64 (exp.f64 re) (*.f64 #s(literal 0 binary64) (sin.f64 im))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)))) (.f64 (*.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))) (.f64 (sinh.f64 re) (cos.f64 im)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (.f64 (cosh.f64 re) (cos.f64 im)))) (.f64 (cosh.f64 re) (cos.f64 im)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))) (.f64 (cosh.f64 re) (cos.f64 im)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))) (.f64 (cosh.f64 re) (cos.f64 im)))) (.f64 (cosh.f64 re) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))) (.f64 (cosh.f64 re) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))))) (-.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re))) (.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))) (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))))
(/.f64 (-.f64 (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))) (-.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))) (.f64 (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))) (+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))) (.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))) (+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))) (.f64 (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))) (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))))) (+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (-.f64 (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))) (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))) (.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)) (-.f64 (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))) (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)) (fma.f64 (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)) (fma.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)) (fma.f64 (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))) (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (*.f64 (sinh.f64 re) (cos.f64 im)))))))
(/.f64 (fma.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (cos.f64 im)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (cos.f64 im)))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))) (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))) (-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)) (-.f64 (.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))) (.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im))))))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1 binary64)) (.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1 binary64)) (.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re) (.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (sinh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (/.f64 (cos.f64 im) #s(literal 1 binary64)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (sinh.f64 re)))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (neg.f64 (.f64 (sinh.f64 re) (cos.f64 im))))
(+.f64 (.f64 (exp.f64 re) (.f64 #s(literal 0 binary64) (sin.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(+.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))

eval56.0ms (1.6%)

Memory: 10.3MiB live, 101.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 260 to 975 computations (81.5% saved)

prune6.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	269	4	273
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	269	5	274

Accuracy

100.0%

Counts

274 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
▶	49.7%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	48.9%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 58 to 42 computations (27.6% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1/2
2
0

Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series37.0ms (1.0%)

Memory

7.0MiB live, 51.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	448

Stop Event

1×	iter-limit

Counts

26 → 31

Calls

Call 1

Inputs
im
(cos.f64 im)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(exp.f64 re)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
(sin.f64 im)
(*.f64 #s(literal 0 binary64) (sin.f64 im))
(.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))

Outputs
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx re re)
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (exp re) (exp.f64 re))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (sin im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sin im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
#s(approx (+ 1 (* -1/2 (pow im 2))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
#s(approx (sin im) (sin.f64 im))

Calls

6 calls:

Time	Variable	Point
23.0ms	re	inf
2.0ms	im	inf
2.0ms	im	0
2.0ms	im	-inf
1.0ms	re	-inf

rewrite170.0ms (4.7%)

Memory

3.8MiB live, 376.4MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	191
0	47	106
1	220	102
2	915	97
0	4062	94

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

26 → 1 265

Calls

Call 1

Inputs
im
(cos.f64 im)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(exp.f64 re)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
(sin.f64 im)
(*.f64 #s(literal 0 binary64) (sin.f64 im))
(.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))

Outputs
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im))
(*.f64 (neg.f64 (cos.f64 im)) (/.f64 (neg.f64 (cos.f64 im)) (cos.f64 im)))
(.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal -1 binary64) (cos.f64 im)))
(*.f64 (fabs.f64 (cos.f64 im)) (copysign.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (cos.f64 im) (.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) #s(literal 0 binary64)) (neg.f64 (cos.f64 im)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (cos.f64 im)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (cos.f64 im) (.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) #s(literal 2 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (neg.f64 (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (cos.f64 im) (.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) #s(literal 2 binary64) (.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64) (.f64 (cos.f64 im) #s(literal 0 binary64))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (cos.f64 im))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (cos.f64 im)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 0 binary64))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (neg.f64 (cos.f64 im))) (.f64 (cos.f64 im) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 2 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im))))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im)))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im))))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im))))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im)))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im))))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im)))) (.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im)))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
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(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (neg.f64 (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im)))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im)))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im)))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im)))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 im)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) (neg.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (neg.f64 im))))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (fabs.f64 im))) (cos.f64 (-.f64 (fabs.f64 im) (fabs.f64 im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (fabs.f64 im) im)) (cos.f64 (-.f64 (fabs.f64 im) im)))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 im (neg.f64 im))) (cos.f64 (-.f64 im (neg.f64 im))))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 im (fabs.f64 im))) (cos.f64 (-.f64 im (fabs.f64 im))))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 im im)) (cos.f64 (-.f64 im im)))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) (fabs.f64 im))) (cos.f64 (-.f64 (neg.f64 im) (fabs.f64 im))))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 im) im)) (cos.f64 (-.f64 (neg.f64 im) im)))) (.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 im) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (fabs.f64 im) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 im) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (.f64 (cos.f64 im) #s(literal 0 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 im) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (neg.f64 (cos.f64 im)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (cos.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 im)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))))
(neg.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal 1 binary64) (cos.f64 im))))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (neg.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(sin.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im) #s(literal 0 binary64))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (cos.f64 im))) (cos.f64 im) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cos.f64 im)) (/.f64 (neg.f64 (cos.f64 im)) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (/.f64 #s(literal -1 binary64) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (cos.f64 im)) (copysign.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 0 binary64))
(fma.f64 (cos.f64 im) (*.f64 (cos.f64 im) (/.f64 #s(literal 1 binary64) (cos.f64 im))) #s(literal 0 binary64))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (cos.f64 im) (sin.f64 (neg.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 (cos.f64 im) #s(literal 0 binary64))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (fabs.f64 im) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
(*.f64 (exp.f64 (+.f64 re #s(literal 0 binary64))) (cos.f64 im))
(.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)) (/.f64 #s(literal 1 binary64) (cos.f64 im)))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(*.f64 (cos.f64 im) (exp.f64 (+.f64 #s(literal 0 binary64) re)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (exp.f64 re))) (cos.f64 im))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)))) (cos.f64 im))
(/.f64 (.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (exp.f64 re)) (neg.f64 (cos.f64 im)))
(/.f64 (.f64 (exp.f64 re) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))))) (neg.f64 (cos.f64 im)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re))) (neg.f64 (cos.f64 im)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)) (cos.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 im) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re))))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (exp.f64 re)) (neg.f64 (cos.f64 im))))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (cosh.f64 re) (*.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cos.f64 im) (cosh.f64 re)) (.f64 (cos.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))

eval146.0ms (4.0%)

Memory: -4.3MiB live, 359.5MiB allocated; 111ms collecting garbage
Compiler: Compiled 29 685 to 3 804 computations (87.2% saved)

prune37.0ms (1.0%)

Memory

-6.7MiB live, 49.8MiB allocated; 21ms collecting garbage

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	839	10	849
Fresh	0	0	0
Picked	4	0	4
Done	-2	3	1
Total	841	13	854

Accuracy

100.0%

Counts

854 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
▶	100.0%	(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64)))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	30.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
	30.5%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (+.f64 (neg.f64 im) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
▶	49.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
✓	49.7%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	29.8%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
	48.6%	#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
✓	48.9%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
	31.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))

Compiler

Compiled 255 to 226 computations (11.4% saved)

sample0.0ms (0.0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
0
0
(* 0 0)
-1/2
(PI)
1/2
2

Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 12 to 9 computations (25.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series30.0ms (0.8%)

Memory

10.7MiB live, 58.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	1495

Stop Event

1×	iter-limit

Counts

39 → 73

Calls

Call 1

Inputs
re
(exp.f64 re)
#s(literal 1 binary64)
im
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64)))))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 im (PI.f64))
(+.f64 (+.f64 im (PI.f64)) (PI.f64))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))

Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (cos.f64 im))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ re re) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) re)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 re (cos.f64 (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 re (+.f64 (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal 1/2 binary64) (.f64 re (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64))))))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (+.f64 (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 re (+.f64 (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))))))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp (+ re re)) (exp.f64 (*.f64 #s(literal 2 binary64) re)))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (.f64 (cos.f64 (+.f64 im (.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 re)))
#s(approx (exp (+ re re)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) re))))))
#s(approx im im)
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (/ (- (* (* 1 (cos im)) (* 1 (cos im))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (* 1 (cos im)) (* 0 (sin im))))) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))))))))))
#s(approx (+ im (PI)) (PI.f64))
#s(approx (+ im (PI)) (+.f64 im (PI.f64)))
#s(approx (+ (+ im (PI)) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64)))
#s(approx (+ (+ im (PI)) (PI)) (+.f64 im (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 im (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 im (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (cos (+ (+ im (PI)) (PI))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 im (-.f64 (.f64 im (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (.f64 #s(literal 1/6 binary64) (.f64 im (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 #s(literal -1 binary64) (.f64 im (.f64 (exp.f64 re) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 re) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (fma.f64 im (fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 re) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64)))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re)) (.f64 #s(literal 1/6 binary64) (.f64 im (.f64 (exp.f64 re) (sin.f64 (.f64 #s(literal 2 binary64) (PI.f64))))))))) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 re))))
#s(approx (* (* 1 (cos im)) (* 1 (cos im))) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ im (PI)) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) im))))
#s(approx (+ (+ im (PI)) (PI)) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (+ (* (PI) 1/2) im) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) im))))
#s(approx (+ im (PI)) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (+ (+ im (PI)) (PI)) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (cos (+ (+ im (PI)) (PI))) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) im))))
#s(approx (* (exp re) (cos (+ (+ im (PI)) (PI)))) (.f64 (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) im))) (exp.f64 re)))

Calls

6 calls:

Time	Variable	Point
3.0ms	re	inf
2.0ms	im	-inf
2.0ms	im	inf
2.0ms	im	0
2.0ms	re	-inf

rewrite238.0ms (6.6%)

Memory

-16.2MiB live, 371.3MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	290
0	74	204
1	355	199
2	1554	199
0	4721	176

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

39 → 698

Calls

Call 1

Inputs
re
(exp.f64 re)
#s(literal 1 binary64)
im
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64)))))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
#s(literal 2 binary64)
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 im (PI.f64))
(+.f64 (+.f64 im (PI.f64)) (PI.f64))
(cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))

Outputs
re
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 re)
(+.f64 (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(literal 1 binary64)
im
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))) (.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 im)))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
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(/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (pow.f64 (+.f64 (PI.f64) im) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im)) (.f64 (PI.f64) (+.f64 (PI.f64) im)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) (.f64 im (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im) (+.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 (PI.f64) im) (neg.f64 (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) im) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (fma.f64 (+.f64 (PI.f64) im) (+.f64 (PI.f64) im) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (+.f64 (PI.f64) im) (PI.f64)))))
(neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) im)
(fma.f64 (cbrt.f64 (PI.f64)) (+.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) im)
(fma.f64 #s(literal 2 binary64) (PI.f64) im)
(-.f64 (+.f64 (PI.f64) im) (neg.f64 (PI.f64)))
(-.f64 (PI.f64) (neg.f64 (+.f64 (PI.f64) im)))
(-.f64 im (-.f64 (neg.f64 (PI.f64)) (PI.f64)))
(-.f64 im (+.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))
(-.f64 im (neg.f64 (+.f64 (PI.f64) (PI.f64))))
(+.f64 (+.f64 (PI.f64) (PI.f64)) im)
(+.f64 (+.f64 (PI.f64) im) (neg.f64 (neg.f64 (PI.f64))))
(+.f64 (+.f64 (PI.f64) im) (PI.f64))
(+.f64 (PI.f64) (+.f64 (PI.f64) im))
(+.f64 im (+.f64 (PI.f64) (PI.f64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))))) (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)))) (.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (fma.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))))
(neg.f64 (-.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)))))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(fma.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)) (neg.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (.f64 (cos.f64 im) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (.f64 (sin.f64 im) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im))))
(cos.f64 (fabs.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im))))
(cos.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(cos.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)))
(cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im))
(+.f64 (.f64 (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) im)) (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 (neg.f64 (neg.f64 (cos.f64 im))) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (neg.f64 (sin.f64 im))) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (neg.f64 (.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 im))) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 (neg.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (cos.f64 im))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (neg.f64 (neg.f64 (cos.f64 im))))
(neg.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (neg.f64 (cos.f64 im))))

eval126.0ms (3.5%)

Memory: -1.3MiB live, 136.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 18 915 to 3 704 computations (80.4% saved)

prune16.0ms (0.5%)

Memory

-4.5MiB live, 42.0MiB allocated; 3ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	656	6	662
Fresh	4	1	5
Picked	5	0	5
Done	-2	5	3
Total	663	12	675

Accuracy

100.0%

Counts

675 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	99.7%	(.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	30.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
✓	49.7%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	32.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	31.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	29.8%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
▶	29.5%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓	48.9%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Compiler

Compiled 209 to 188 computations (10.0% saved)

sample1.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1/2
2
0
0
(* 0 0)
1
1
-1/2
(PI)
(* 1/2 (PI))
(* 1/2 (PI))
(sin (* 1/2 (PI)))
(sin (* 1/2 (PI)))

Outputs
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series33.0ms (0.9%)

Memory

38.0MiB live, 83.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	1484

Stop Event

1×	iter-limit

Counts

36 → 68

Calls

Call 1

Inputs
re
(exp.f64 re)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
im
(*.f64 #s(literal 2 binary64) im)
(cos.f64 (*.f64 #s(literal 2 binary64) im))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(cos.f64 im)
(-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
#s(literal 1 binary64)
#s(approx (exp re) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))

Outputs
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (cos.f64 im)))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (cos.f64 im))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) im)) (cos.f64 im)) (.f64 re (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (cos.f64 im))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 im))))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (.f64 re (+.f64 (cos.f64 im) (.f64 re (fma.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 im)) (.f64 #s(literal 1/2 binary64) (cos.f64 im))))))))
#s(approx (+ re re) (*.f64 #s(literal 2 binary64) re))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (+.f64 #s(literal 1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) re)))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (/.f64 (.f64 (exp.f64 re) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) im))))) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (exp (+ re re)) (exp.f64 (*.f64 #s(literal 2 binary64) re)))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) re))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))))
#s(approx (exp (+ re re)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re))))
#s(approx (sqrt (exp (+ re re))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) re)))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (.f64 (cos.f64 im) (sqrt.f64 (exp.f64 (neg.f64 (.f64 #s(literal -2 binary64) re))))))
#s(approx im im)
#s(approx (* 2 im) (*.f64 #s(literal 2 binary64) im))
#s(approx (cos (* 2 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos (* 2 im)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (cos (* 2 im)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos (* 2 im))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos (* 2 im))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1/2 (cos (* 2 im))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (exp.f64 re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))
#s(approx (* (exp re) (/ (- (+ 1/2 (* 1/2 (cos (* 2 im)))) (* (* 0 (sin im)) (* 0 (sin im)))) (- (cos im) (* 0 (sin im))))) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/45 binary64) (exp.f64 re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (exp.f64 re)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))) (fma.f64 #s(literal -1/720 binary64) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (exp.f64 re))))))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal -1 binary64) (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 #s(literal 1/24 binary64) (exp.f64 re)))))) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))))))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)))))))
#s(approx (* (exp re) (cos im)) (+.f64 (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (.f64 #s(literal 1/24 binary64) (exp.f64 re))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))))))))
#s(approx (* (sqrt (exp (+ re re))) (cos im)) (+.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re)))) (.f64 #s(literal 1/24 binary64) (sqrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) re))))))))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) im) (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/2 binary64) (.f64 im (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (sin (+ (* (PI) 1/2) im)) (+.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (+.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 im (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal -1/6 binary64) (.f64 im (cos.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (cos (* 2 im)) (cos.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (* 1/2 (cos (* 2 im))) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 im)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) im)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (+.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) 1/2) im) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) im)) #s(literal 1 binary64)))))
#s(approx (sin (+ (* (PI) 1/2) im)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal -1 binary64) im))))

Calls

6 calls:

Time	Variable	Point
4.0ms	im	0
3.0ms	im	-inf
3.0ms	im	inf
3.0ms	re	inf
2.0ms	re	-inf

rewrite335.0ms (9.3%)

Memory

11.6MiB live, 345.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	276
0	69	217
1	275	210
2	1229	210
0	4481	207

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

36 → 653

Calls

Call 1

Inputs
re
(exp.f64 re)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
im
(*.f64 #s(literal 2 binary64) im)
(cos.f64 (*.f64 #s(literal 2 binary64) im))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))
#s(literal 0 binary64)
#s(approx (* 0 (sin im)) #s(literal 0 binary64))
(.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(cos.f64 im)
(-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
#s(literal 1 binary64)
#s(approx (exp re) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) re)
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+.f64 re re)
(exp.f64 (+.f64 re re))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))

Outputs
re
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 re))) (sqrt.f64 (neg.f64 (exp.f64 re))))
(*.f64 (exp.f64 (/.f64 re #s(literal 2 binary64))) (exp.f64 (/.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) (cosh.f64 re))) (cosh.f64 re))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 re re)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 re #s(literal 2 binary64)))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64)))) (.f64 (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (exp.f64 (/.f64 re #s(literal 2 binary64))) (exp.f64 (/.f64 (neg.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 re))))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 re)
(+.f64 (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
im
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 im im)) im)
(*.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) im)
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)) (-.f64 (.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64))) (.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im) (-.f64 (.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im)) (.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (fma.f64 im im (+.f64 (.f64 im im) (.f64 im (neg.f64 im)))))
(/.f64 (-.f64 (.f64 im im) (.f64 im im)) (-.f64 im im))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 im im) (.f64 im im))))
(fma.f64 #s(literal 1 binary64) im (*.f64 #s(literal 1 binary64) im))
(fma.f64 im #s(literal 1 binary64) (*.f64 im #s(literal 1 binary64)))
(-.f64 im (neg.f64 im))
(+.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im))
(+.f64 im im)
(*.f64 (+.f64 (cos.f64 im) (sin.f64 im)) (-.f64 (cos.f64 im) (sin.f64 im)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (+.f64 im im)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (+.f64 im im)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (+.f64 im im)) #s(literal 0 binary64)) (.f64 (sin.f64 (+.f64 im im)) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (+.f64 im im)) #s(literal 1 binary64)) (.f64 (cos.f64 (+.f64 im im)) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 (+.f64 im im)) #s(literal 0 binary64)) (.f64 (cos.f64 (+.f64 im im)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 im)) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (sin.f64 im)) (sin.f64 im)) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 im))) (.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sin.f64 im)) (sin.f64 im))))))
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(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (exp.f64 (/.f64 re #s(literal 2 binary64))) (exp.f64 (/.f64 (neg.f64 re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 (neg.f64 re))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (+.f64 re re)) #s(literal -1/2 binary64)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 re))))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 re)
(+.f64 (cosh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(.f64 #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(PI.f64)
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval154.0ms (4.3%)

Memory: -72.8MiB live, 291.9MiB allocated; 106ms collecting garbage
Compiler: Compiled 21 827 to 3 777 computations (82.7% saved)

prune23.0ms (0.6%)

Memory

37.8MiB live, 84.2MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	781	7	788
Fresh	0	2	2
Picked	5	0	5
Done	-3	8	5
Total	783	17	800

Accuracy

100.0%

Counts

800 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (exp.f64 re))
✓	64.2%	(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	64.2%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	30.0%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
✓	49.7%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
✓	32.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.0%	(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	31.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	32.0%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	0.0%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	31.3%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	19.9%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	29.8%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
	29.5%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
✓	48.9%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	32.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Compiler

Compiled 192 to 167 computations (13.0% saved)

regimes219.0ms (6.1%)

Memory

-22.0MiB live, 403.5MiB allocated; 30ms collecting garbage

Counts

1 → 1

4 → 1

7 → 1

10 → 1

16 → 3

23 → 3

28 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Call 2

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Call 3

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Call 4

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Outputs
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Call 5

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))

Outputs

(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

#s(approx (* (exp re) (cos im)) (cos.f64 im))

(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Call 6

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (+.f64 (neg.f64 im) (.f64 (PI.f64) #s(literal 1/2 binary64)))))

Outputs

(*.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))

(*.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

Call 7

Inputs
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) #s(literal 884279719003555/562949953421312 binary64))))
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(.f64 (sqrt.f64 (exp.f64 (+.f64 re re))) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 #s(approx (+ im (PI)) (PI.f64)) (PI.f64))))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 (+.f64 (+.f64 im (PI.f64)) (PI.f64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (+.f64 (neg.f64 im) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64))))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (exp.f64 re))
(.f64 (exp.f64 re) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 #s(approx (* 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (cos.f64 im) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx ( 0 (sin im)) #s(literal 0 binary64)) #s(approx (* 0 (sin im)) #s(literal 0 binary64)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx ( 0 (sin im)) #s(literal 0 binary64)))))
(.f64 (exp.f64 re) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))) (-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (*.f64 #s(literal 0 binary64) (sin.f64 im)))))

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

Calls

32 calls:

43.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
28.0ms	re
13.0ms	im
8.0ms	(cos.f64 im)
8.0ms	im

Results

Accuracy	Segments	Branch
31.3%	1	`im`
31.3%	1	`(exp.f64 re)`
31.3%	1	`re`
31.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
31.3%	1	`(cos.f64 im)`
32.0%	1	`im`
32.0%	1	`re`
32.0%	1	`(cos.f64 im)`
32.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
32.0%	1	`(exp.f64 re)`
64.2%	1	`im`
64.2%	1	`re`
64.2%	1	`(cos.f64 im)`
64.2%	1	`(exp.f64 re)`
64.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
64.2%	1	`(cos.f64 im)`
64.2%	1	`im`
64.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
64.2%	1	`(exp.f64 re)`
64.2%	1	`re`
85.2%	3	`(exp.f64 re)`
85.2%	3	`re`
75.8%	2	`(cos.f64 im)`
85.4%	3	`(exp.f64 re)`
85.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
85.4%	3	`re`
76.5%	2	`im`
100.0%	1	`(cos.f64 im)`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 422 to 219 computations (48.1% saved)

bsearch32.0ms (0.9%)

Memory

36.9MiB live, 81.2MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.2440563266704977e-18	2.839811890838854e-13
14.0ms	-661.3222749380583	-0.0024612420725608985

Samples

19.0ms

288×

valid

Compiler

Compiled 341 to 352 computations (-3.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 6.0ms (60.4% of total)

ival-exp: 2.0ms (20.1% of total)

ival-mult!: 1.0ms (10.1% of total)

adjust: 0.0ms (0.0% of total)

bsearch30.0ms (0.8%)

Memory

-8.6MiB live, 49.5MiB allocated; 25ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.2440563266704977e-18	2.839811890838854e-13
28.0ms	-2.7023225325154083e-8	-2.503866509932863e-19

Samples

9.0ms

160×

valid

Compiler

Compiled 285 to 315 computations (-10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 3.0ms (57.0% of total)

ival-exp: 1.0ms (19.0% of total)

ival-mult!: 1.0ms (19.0% of total)

adjust: 0.0ms (0.0% of total)

derivations31.0ms (0.9%)

Memory

-4.9MiB live, 40.0MiB allocated; 9ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 122 to 32 computations (73.8% saved)

preprocess71.0ms (2.0%)

Memory: -26.7MiB live, 160.6MiB allocated; 35ms collecting garbage
Compiler: Compiled 371 to 213 computations (42.6% saved)

end0.0ms (0.0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample1.6s (44.2%)

preprocess41.0ms (1.1%)

sample0.0ms (0.0%)

series11.0ms (0.3%)

rewrite169.0ms (4.7%)

eval56.0ms (1.6%)

prune6.0ms (0.2%)

sample0.0ms (0.0%)

series37.0ms (1.0%)

rewrite170.0ms (4.7%)

eval146.0ms (4.0%)

prune37.0ms (1.0%)

sample0.0ms (0.0%)

series30.0ms (0.8%)

rewrite238.0ms (6.6%)

eval126.0ms (3.5%)

prune16.0ms (0.5%)

sample1.0ms (0.0%)

series33.0ms (0.9%)

rewrite335.0ms (9.3%)

eval154.0ms (4.3%)

prune23.0ms (0.6%)

regimes219.0ms (6.1%)

bsearch32.0ms (0.9%)

bsearch30.0ms (0.8%)

derivations31.0ms (0.9%)

preprocess71.0ms (2.0%)

end0.0ms (0.0%)

Profiling