Metrics for math.exp on complex, real part

start0.0ms (0.0%)

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

analyze1.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

random

Compiler

Compiled 7 to 7 computations (0.0% saved)

sample459.0ms (27.3%)

Memory

-7.4MiB live, 617.8MiB allocated; 176ms collecting garbage

Samples

240.0ms	8 156×	0	valid
7.0ms	101×	1	valid
0.0ms	5×	5	valid

Bogosity

preprocess40.0ms (2.4%)

Memory

-25.5MiB live, 69.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	60	32
2	321	32
3	2449	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

series8.0ms (0.4%)

Memory

29.5MiB live, 29.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	253

Stop Event

1×	iter-limit

Counts

5 → 19

Calls

Call 1

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

Outputs
#s(approx re #s(literal 0 binary64))
#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
0.0ms	re	0
0.0ms	im	inf
0.0ms	im	0
0.0ms	re	-inf

rewrite107.0ms (6.3%)

Memory

-12.0MiB live, 174.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	22	11
2	117	11
3	835	11
0	4352	11
0	4432	11

Stop Event

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

Counts

5 → 137

Calls

Call 1

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

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

eval15.0ms (0.9%)

Memory: -19.2MiB live, 33.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 182 to 501 computations (77.0% saved)

prune5.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	6	153

Accuracy

100.0%

Counts

153 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	61.6%	(.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))))))
▶	47.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	47.3%	#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
▶	46.6%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 75 to 39 computations (48.0% saved)

sample1.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
-1/2
2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 4 computations (20.0% saved)

series20.0ms (1.2%)

Memory

-4.3MiB live, 42.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	1127

Stop Event

1×	iter-limit

Counts

23 → 52

Calls

Call 1

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

Outputs
#s(approx re #s(literal 0 binary64))
#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 (* re (cos im)) (*.f64 re (cos.f64 im)))
#s(approx (sinh re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sinh re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sinh re) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))))
#s(approx (* (cosh re) (cos im)) (+.f64 (cos.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (.f64 #s(literal 1/24 binary64) (cos.f64 im))))))))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (cos im) (* re (cos im))) (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re))))
#s(approx (sinh re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (cosh re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (* (cosh re) (cos im)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (+ (cos im) (* re (cos im))) (.f64 #s(literal -1 binary64) (.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 im) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) 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 (* re (cos im)) (+.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))))
#s(approx (* re (cos im)) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
#s(approx (* re (cos im)) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 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)) re) (.f64 #s(literal 1/24 binary64) re)))))))
#s(approx (+ (cos im) (* re (cos im))) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64))))))
#s(approx (+ (cos im) (* re (cos im))) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) re)))) #s(literal 1/2 binary64))))))
#s(approx (+ (cos im) (* re (cos im))) (+.f64 #s(literal 1 binary64) (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/24 binary64) re (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/720 binary64) re) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64))))))
#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 (* (cosh re) (cos im)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))
#s(approx (* (cosh re) (cos im)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))))
#s(approx (+ (* (sinh re) (cos im)) (* (cosh re) (cos im))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (.f64 #s(literal -1/1440 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))))))))
#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))))

Calls

6 calls:

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

rewrite148.0ms (8.8%)

Memory

30.3MiB live, 268.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	116
0	42	112
1	142	109
2	1010	109
0	4110	109
0	4295	106

Stop Event

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

Counts

23 → 281

Calls

Call 1

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

Outputs
re
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (exp.f64 re)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(/.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 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (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 (cosh.f64 re) (cosh.f64 re) (*.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re))))))
(/.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 (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 (.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) (sinh.f64 re))) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 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 (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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 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 (.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 (.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 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -2 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 (.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 (.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 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 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 (.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 (.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 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 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 (.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 (.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 (cosh.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 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 (.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) (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 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.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 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 (+.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 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.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 (.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) (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 #s(literal 1 binary64) (exp.f64 (neg.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) (sinh.f64 (neg.f64 (neg.f64 re))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 re) #s(literal 2 binary64)) (cosh.f64 re))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (sinh.f64 (neg.f64 (neg.f64 re))))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (sinh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (sinh.f64 (neg.f64 (neg.f64 re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 re) #s(literal 1 binary64)) (sinh.f64 re))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 re) #s(literal 1 binary64)) (cosh.f64 re))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 re)) (sinh.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 (neg.f64 (neg.f64 re)))
(exp.f64 re)
(+.f64 (/.f64 (*.f64 (cosh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 re))
(+.f64 (/.f64 (*.f64 (sinh.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 re))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.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)) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64)) #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) (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 (cosh.f64 re) (sinh.f64 (neg.f64 (neg.f64 re))))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(+.f64 (sinh.f64 re) (cosh.f64 re))
im
(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 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 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 #s(literal 0 binary64) (sin.f64 im)))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 im))))
(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 (neg.f64 (sin.f64 im)) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(literal 0 binary64) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 (.f64 re re) re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 re re (.f64 #s(literal 1 binary64) (neg.f64 re)))))
(/.f64 (fma.f64 (*.f64 re re) re #s(literal 1 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 re))
(-.f64 re #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 (.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im))))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im))))) (-.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) re))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re) (.f64 (cos.f64 im) (.f64 (neg.f64 re) (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re))) (.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) re)))
(neg.f64 (-.f64 (*.f64 (neg.f64 re) (cos.f64 im)) (cos.f64 im)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(-.f64 (*.f64 (cos.f64 im) re) (neg.f64 (cos.f64 im)))
(-.f64 (cos.f64 im) (*.f64 (neg.f64 re) (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (neg.f64 (neg.f64 re)) (cos.f64 im)))
(+.f64 (cos.f64 im) (neg.f64 (*.f64 (neg.f64 re) (cos.f64 im))))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
#s(approx (* (exp re) (cos im)) (*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im)))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im (neg.f64 im)))
(fabs.f64 (*.f64 im im))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) im) im)
(.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
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eval36.0ms (2.2%)

Memory: -29.7MiB live, 71.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 617 to 1 127 computations (83.0% saved)

prune11.0ms (0.7%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	383	8	391
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	385	12	397

Accuracy

100.0%

Counts

397 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	61.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	25.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	47.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	29.9%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
	47.3%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
▶	58.5%	#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
▶	25.1%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	46.6%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	28.3%	#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))))))
▶	28.2%	#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 201 to 78 computations (61.2% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1/2
2
1/24
(PI)

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 884279719003555/281474976710656 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 7 computations (12.5% saved)

series45.0ms (2.7%)

Memory

-6.9MiB live, 40.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	2732

Stop Event

1×	iter-limit

Counts

39 → 96

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
20.0ms	re	0
3.0ms	im	0
3.0ms	im	inf
1.0ms	im	-inf
1.0ms	re	inf

rewrite150.0ms (8.9%)

Memory

22.7MiB live, 247.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	309
0	70	303
1	295	260
2	2133	260
0	4107	234
0	4286	226

Stop Event

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

Counts

39 → 616

Calls

Call 1

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

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

eval92.0ms (5.4%)

Memory: -33.1MiB live, 156.3MiB allocated; 43ms collecting garbage
Compiler: Compiled 21 012 to 2 963 computations (85.9% saved)

prune19.0ms (1.1%)

Memory

1.8MiB live, 49.1MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	695	8	703
Fresh	3	0	3
Picked	3	2	5
Done	0	4	4
Total	701	14	715

Accuracy

100.0%

Counts

715 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	61.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	47.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	29.9%	(.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))))
▶	47.3%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
▶	46.6%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
✓	25.1%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	46.6%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	34.3%	#s(approx (* (exp re) (cos im)) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (- (cos im) (* (cos im) re))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) re))))
▶	28.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
▶	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	24.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
	28.1%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) #s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))))

Compiler

Compiled 201 to 85 computations (57.7% saved)

sample1.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2
-1/2
2
1/24
1/4
-1

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 6004799503160661/144115188075855872 binary64)
#s(literal 1/4 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

series39.0ms (2.3%)

Memory

-20.7MiB live, 40.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	437	2649

Stop Event

1×	iter-limit

Counts

36 → 91

Calls

Call 1

Inputs
re
im
(cos.f64 im)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 1/24 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) im)
#s(literal -1 binary64)
(*.f64 (cos.f64 im) re)
(-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 im im)
(.f64 (.f64 im im) (*.f64 im im))
(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)))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 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(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))
(fma.f64 (.f64 (.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im)
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (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 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
#s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))

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

Calls

6 calls:

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

rewrite129.0ms (7.7%)

Memory

20.7MiB live, 212.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	351
0	72	311
1	326	285
2	2248	285
0	4010	264
0	4170	264

Stop Event

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

Counts

36 → 506

Calls

Call 1

Inputs
re
im
(cos.f64 im)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(literal 1/24 binary64)
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) im)
#s(literal -1 binary64)
(*.f64 (cos.f64 im) re)
(-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 im im)
(.f64 (.f64 im im) (*.f64 im im))
(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)))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 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(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))
(fma.f64 (.f64 (.f64 im im) (*.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im)
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (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 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
#s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
(/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)))
#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))

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

eval62.0ms (3.7%)

Memory: 4.9MiB live, 140.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 351 to 2 187 computations (82.3% saved)

prune19.0ms (1.2%)

Memory

-2.3MiB live, 52.2MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	558	7	565
Fresh	2	1	3
Picked	2	3	5
Done	1	5	6
Total	563	16	579

Accuracy

100.0%

Counts

579 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.2%	(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	61.6%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	47.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
	29.9%	(.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))))
✓	47.3%	#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
	46.6%	#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
	68.3%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	46.6%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	24.8%	#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
✓	28.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
✓	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	29.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	24.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
	12.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
	29.6%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))

Compiler

Compiled 133 to 43 computations (67.7% saved)

regimes122.0ms (7.2%)

Memory

23.4MiB live, 216.4MiB allocated; 11ms collecting garbage

Counts

1 → 1

2 → 2

4 → 2

5 → 2

7 → 2

15 → 2

18 → 5

21 → 5

29 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

Outputs

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

Call 3

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))

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

Call 4

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (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))))

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

Call 5

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))

Outputs

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

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

Call 6

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #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) #s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (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 (fma.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (- (cos im) (* (cos im) re))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))

Outputs
(.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)) (exp.f64 re))

Call 7

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #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) #s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (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 (fma.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (- (cos im) (* (cos im) re))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (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) (+.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)))

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

Call 8

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #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) #s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (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 (fma.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (- (cos im) (* (cos im) re))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (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) (+.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)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#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))))))

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

Call 9

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (+ (* (cos im) re) (cos im)) (+.f64 #s(literal 1 binary64) re)))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (exp.f64 re))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) #s(literal -1 binary64)) (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))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #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) #s(approx (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 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))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (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 (fma.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal -1 binary64)))))
#s(approx (* (exp re) (cos im)) #s(approx (/ (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (- (cos im) (* (cos im) re))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)) #s(approx (cos im) (/.f64 #s(approx (+ (* (* (* im im) (* im im)) 1/4) -1) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (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) (+.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)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#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 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
(fma.f64 (sinh.f64 re) (cos.f64 im) (*.f64 (cosh.f64 re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (fma.f64 (cos.f64 (+.f64 im im)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
#s(approx (* (exp re) (cos im)) (/.f64 #s(approx (- (+ 1/2 (* 1/2 (cos (+ im im)))) (* (+ 1/2 (* 1/2 (cos (+ im im)))) (* re re))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))
#s(approx (* (exp re) (cos im)) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 im im)))) (.f64 re re))) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))))

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

Calls

28 calls:

10.0ms	im
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	re
7.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
24.8%	1	`im`
24.8%	1	`(exp.f64 re)`
24.8%	1	`re`
24.8%	1	`(cos.f64 im)`
24.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
29.8%	2	`(exp.f64 re)`
29.8%	2	`re`
30.9%	2	`(cos.f64 im)`
28.2%	1	`im`
31.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
74.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
75.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
71.3%	2	`(cos.f64 im)`
76.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
69.8%	2	`(exp.f64 re)`
72.6%	3	`re`
78.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
99.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
77.9%	3	`(cos.f64 im)`
91.9%	3	`(exp.f64 re)`
99.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
93.9%	4	`re`
73.1%	3	`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 353 to 153 computations (56.7% saved)

bsearch1.0ms (0.1%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999998510067003	0.9999999999999996
0.0ms	-0.0	0.01039585640491088
0.0ms	-0.0045012336296600215	0.0
0.0ms	-inf	-0.995545563400836

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999998510067003	0.9999999999999996
0.0ms	-0.0	0.01039585640491088
0.0ms	-0.0045012336296600215	0.0
0.0ms	-inf	-0.995545563400836

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0045012336296600215	0.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0045012336296600215	0.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0045012336296600215	0.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch2.0ms (0.1%)

Memory

-47.1MiB live, 0.4MiB allocated; 3ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	-0.0045012336296600215	0.0

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.01039585640491088

Compiler

Compiled 12 to 13 computations (-8.3% saved)

derivations76.0ms (4.5%)

Memory

45.3MiB live, 91.9MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 207 to 38 computations (81.6% saved)

preprocess71.0ms (4.2%)

Memory: -37.6MiB live, 154.4MiB allocated; 17ms collecting garbage
Compiler: Compiled 626 to 285 computations (54.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.0ms (0.0%)

sample459.0ms (27.3%)

preprocess40.0ms (2.4%)

sample0.0ms (0.0%)

series8.0ms (0.4%)

rewrite107.0ms (6.3%)

eval15.0ms (0.9%)

prune5.0ms (0.3%)

sample1.0ms (0.0%)

series20.0ms (1.2%)

rewrite148.0ms (8.8%)

eval36.0ms (2.2%)

prune11.0ms (0.7%)

sample0.0ms (0.0%)

series45.0ms (2.7%)

rewrite150.0ms (8.9%)

eval92.0ms (5.4%)

prune19.0ms (1.1%)

sample1.0ms (0.0%)

series39.0ms (2.3%)

rewrite129.0ms (7.7%)

eval62.0ms (3.7%)

prune19.0ms (1.2%)

regimes122.0ms (7.2%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0.0%)

derivations76.0ms (4.5%)

preprocess71.0ms (4.2%)

end0.0ms (0.0%)

Profiling