Metrics for math.exp on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample837.0ms (27%)

Memory

-6.2MiB live, 1 272.3MiB allocated; 274ms collecting garbage

Samples

588.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-cos: 268.0ms (64.8% of total)

ival-exp: 102.0ms (24.6% of total)

ival-mult!: 42.0ms (10.1% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess49.0ms (1.6%)

Memory

1.8MiB live, 48.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series9.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	250

Stop Event

1×	iter-limit

Counts

5 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite317.0ms (10.2%)

Memory

21.5MiB live, 531.1MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	22	11
2	123	11
3	657	11
4	6074	11
0	9669	11
1	29032	11

Stop Event

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

Counts

5 → 305

Calls

Call 1

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

Outputs
(.f64 (.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(.f64 (cos.f64 im) (.f64 #s(literal 1 binary64) (exp.f64 re)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(/.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (.f64 (cos.f64 im) (.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (.f64 (exp.f64 re) (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (.f64 (exp.f64 re) (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (.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)))) (cos.f64 im)) (exp.f64 re)) #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 im)) (exp.f64 re)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (cos.f64 im)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) (cos.f64 im)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 2 binary64) (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (.f64 (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (.f64 (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (*.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (.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)))) (cos.f64 im)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 8 binary64))
(/.f64 (.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)))) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 im)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 8 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 re))) (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 re))) (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 im))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) (+.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 im))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 im))) #s(literal 4 binary64))
(neg.f64 (*.f64 (cos.f64 im) (neg.f64 (exp.f64 re))))
(neg.f64 (*.f64 (neg.f64 (exp.f64 re)) (cos.f64 im)))
(neg.f64 (-.f64 (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im))))
(fma.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 0 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 0 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 (.f64 (cosh.f64 re) #s(literal 1 binary64)) (cos.f64 im) (.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 (sinh.f64 re) #s(literal 1 binary64)) (cos.f64 im) (.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1 binary64)) (.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (/.f64 (cos.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1 binary64)) (.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 (.f64 (cos.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 1/2 binary64) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 0 binary64) (cosh.f64 re)) (sin.f64 im) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 #s(literal 0 binary64) (sinh.f64 re)) (sin.f64 im) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 (.f64 #s(literal 0 binary64) (exp.f64 re)) (sin.f64 im) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 (cosh.f64 re) (cos.f64 im)) #s(literal 1 binary64) (.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 (sinh.f64 re) (cos.f64 im)) #s(literal 1 binary64) (.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 im) (exp.f64 re)) (.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 #s(literal 1 binary64) (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (.f64 (sin.f64 im) (sinh.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 #s(literal 0 binary64) (.f64 (sin.f64 im) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 #s(literal 0 binary64) (.f64 (sin.f64 im) (cosh.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 #s(literal 0 binary64) (sinh.f64 re) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 #s(literal 0 binary64) (cosh.f64 re) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 #s(literal 0 binary64) (exp.f64 re) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (sin.f64 im) (.f64 #s(literal 0 binary64) (cosh.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (sin.f64 im) (.f64 #s(literal 0 binary64) (sinh.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (sin.f64 im) (.f64 #s(literal 0 binary64) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 0 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (cos.f64 im) #s(literal 2 binary64)) (.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 0 binary64) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (sinh.f64 re) #s(literal 0 binary64) (*.f64 (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) #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (.f64 #s(literal 1 binary64) (exp.f64 re)) (.f64 #s(literal 0 binary64) (exp.f64 re)))
(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 (cos.f64 im) (exp.f64 re) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(fma.f64 (exp.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (exp.f64 re) (cos.f64 im) (*.f64 #s(literal 0 binary64) (exp.f64 re)))
(-.f64 (.f64 #s(literal 0 binary64) (exp.f64 re)) (.f64 (neg.f64 (exp.f64 re)) (cos.f64 im)))
(-.f64 (.f64 #s(literal 0 binary64) (exp.f64 re)) (.f64 (neg.f64 (cos.f64 im)) (exp.f64 re)))
(-.f64 (.f64 #s(literal 0 binary64) (exp.f64 re)) (neg.f64 (.f64 (cos.f64 im) (exp.f64 re))))
(-.f64 (.f64 (cosh.f64 re) (cos.f64 im)) (.f64 (sinh.f64 (neg.f64 re)) (cos.f64 im)))
(-.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (neg.f64 (cosh.f64 re)) (cos.f64 im)))
(-.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (.f64 (neg.f64 (cos.f64 im)) (cosh.f64 re)))
(-.f64 (.f64 (sinh.f64 re) (cos.f64 im)) (neg.f64 (.f64 (cosh.f64 re) (cos.f64 im))))
(+.f64 (fma.f64 (cosh.f64 re) (cos.f64 im) (.f64 #s(literal 0 binary64) (sinh.f64 re))) (.f64 (sinh.f64 re) (cos.f64 im)))
(+.f64 (fma.f64 (sinh.f64 re) (cos.f64 im) (.f64 #s(literal 0 binary64) (cosh.f64 re))) (.f64 (cosh.f64 re) (cos.f64 im)))
(+.f64 (.f64 #s(literal 0 binary64) (cosh.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (.f64 #s(literal 0 binary64) (sinh.f64 re)) (.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (.f64 (cos.f64 im) (exp.f64 re)) (.f64 #s(literal 0 binary64) (exp.f64 re)))
(+.f64 (.f64 #s(literal 0 binary64) (exp.f64 re)) (.f64 (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)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 2 binary64) (exp.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 re)))
(pow.f64 (exp.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64)) #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 (cosh.f64 re) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.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))
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(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 im) (fabs.f64 (.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 im) (fabs.f64 (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 im) (.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 im) (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 im) (.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 im)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 im) (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 im (neg.f64 (.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 im (neg.f64 (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 im (fabs.f64 (.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 im (fabs.f64 (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (+.f64 im (.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 im (*.f64 (fabs.f64 (PI.f64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(-.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)))) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 im)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 im)))
(-.f64 (cos.f64 im) #s(literal 0 binary64))
(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)) (cos.f64 im))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (cos.f64 im) #s(literal 0 binary64))
im

eval36.0ms (1.2%)

Memory: 10.6MiB live, 100.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 3 140 to 1 053 computations (66.5% saved)

prune63.0ms (2%)

Memory

-45.0MiB live, 33.9MiB allocated; 92ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	313	5	318
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	6	319

Accuracy

100.0%

Counts

319 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
▶	73.4%	(*.f64 (fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	63.4%	(.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))))))
▶	57.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (cos.f64 im))
▶	56.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 97 to 95 computations (2.1% saved)

series44.0ms (1.4%)

Memory

8.2MiB live, 102.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	303	1501

Stop Event

1×	iter-limit

Counts

26 → 62

Calls

Call 1

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

Outputs
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cos.f64 im))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh 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 (+ (* (cosh re) (cos im)) (* (sinh 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 (cosh re) #s(literal 1 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 re re)
#s(approx (* (sinh re) (cos im)) (*.f64 re (cos.f64 im)))
#s(approx (* (sinh re) (cos im)) (.f64 re (+.f64 (cos.f64 im) (.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im))))))
#s(approx (* (sinh re) (cos im)) (.f64 re (+.f64 (cos.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (.f64 #s(literal 1/6 binary64) (cos.f64 im)))))))
#s(approx (* (sinh re) (cos im)) (.f64 re (+.f64 (cos.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)) (*.f64 #s(literal 1/120 binary64) (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 (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 (neg re)) 1/2) (sinh re)) #s(literal 1/2 binary64))
#s(approx (+ (* (exp (neg re)) 1/2) (sinh re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (+ (* (exp (neg re)) 1/2) (sinh re)) (+.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) re)))))
#s(approx (+ (* (exp (neg re)) 1/2) (sinh re)) (+.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) re)))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
#s(approx (exp (neg re)) (+.f64 #s(literal 1 binary64) (.f64 re (-.f64 (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))) #s(literal 1 binary64)))))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh 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 (cosh 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)) (.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) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#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) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (+ (* (exp (neg re)) 1/2) (sinh re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (exp (neg re)) (exp.f64 (neg.f64 re)))
#s(approx (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) re)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (+ (* (exp (neg re)) 1/2) (sinh re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 #s(literal -1 binary64) re)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (exp (neg re)) (exp.f64 (*.f64 #s(literal -1 binary64) re)))
#s(approx (+ (* (cosh re) (cos im)) (* (sinh 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 (+ (* (cosh re) (cos im)) (* (sinh 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 (+ (* (cosh re) (cos im)) (* (sinh 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 (+ (* (cosh re) (cos im)) (* (sinh 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 (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 im im)
#s(approx (* (sinh 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 (* (sinh 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 (* (sinh 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 (* (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 (* -1/2 (pow im 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (.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) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))
#s(approx (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.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 -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))))))
#s(approx (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.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 -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (.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 -1/720 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))) (.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 re)) (*.f64 #s(literal 1/2 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	Expression
10.0ms	im	@	0	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ 1 (* -1/2 (pow im 2))) 1 (* -1/2 (pow im 2)) -1/2 (pow im 2) 2 (* (exp re) (cos im)) (exp re) (+ 1 re) (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) 1/2 (+ (* (exp (neg re)) 1/2) (sinh re)) (exp (neg re)) (neg re))
6.0ms	im	@	inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ 1 (* -1/2 (pow im 2))) 1 (* -1/2 (pow im 2)) -1/2 (pow im 2) 2 (* (exp re) (cos im)) (exp re) (+ 1 re) (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) 1/2 (+ (* (exp (neg re)) 1/2) (sinh re)) (exp (neg re)) (neg re))
5.0ms	re	@	inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ 1 (* -1/2 (pow im 2))) 1 (* -1/2 (pow im 2)) -1/2 (pow im 2) 2 (* (exp re) (cos im)) (exp re) (+ 1 re) (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) 1/2 (+ (* (exp (neg re)) 1/2) (sinh re)) (exp (neg re)) (neg re))
4.0ms	re	@	-inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ 1 (* -1/2 (pow im 2))) 1 (* -1/2 (pow im 2)) -1/2 (pow im 2) 2 (* (exp re) (cos im)) (exp re) (+ 1 re) (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) 1/2 (+ (* (exp (neg re)) 1/2) (sinh re)) (exp (neg re)) (neg re))
3.0ms	im	@	-inf	((+ (* (cosh re) (cos im)) (* (sinh re) (cos im))) (cosh re) re (cos im) im (* (sinh re) (cos im)) (sinh re) (* (exp re) (cos im)) (* (exp re) (cos im)) (exp re) (cos im) (+ 1 (* -1/2 (pow im 2))) 1 (* -1/2 (pow im 2)) -1/2 (pow im 2) 2 (* (exp re) (cos im)) (exp re) (+ 1 re) (* (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) (cos im)) (+ (* (exp re) 1/2) (+ (* (exp (neg re)) 1/2) (sinh re))) 1/2 (+ (* (exp (neg re)) 1/2) (sinh re)) (exp (neg re)) (neg re))

rewrite333.0ms (10.7%)

Memory

35.5MiB live, 439.5MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	130
0	50	107
1	185	107
2	726	107
3	5083	107
0	8181	104
1	20168	104

Stop Event

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

Counts

26 → 1 287

Calls

Call 1

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

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

eval216.0ms (7%)

Memory: -7.6MiB live, 332.3MiB allocated; 147ms collecting garbage
Compiler: Compiled 11 912 to 4 197 computations (64.8% saved)

prune64.0ms (2.1%)

Memory

27.8MiB live, 73.7MiB allocated; 6ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 395	9	1 404
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 397	13	1 410

Accuracy

100.0%

Counts

1 410 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	73.4%	(*.f64 (fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	63.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	57.3%	(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
▶	34.7%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 im))))
▶	33.5%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
	33.0%	(.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))))))
	57.2%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))) (cos.f64 im))
▶	32.6%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	56.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	33.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
▶	31.8%	#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 251 to 244 computations (2.8% saved)

series27.0ms (0.9%)

Memory

-12.5MiB live, 41.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1154

Stop Event

1×	iter-limit

Counts

27 → 58

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	re	@	0	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ 1 (* -1/2 (pow im 2))) (* -1/2 (pow im 2)) (pow im 2) 2 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im) (PI) 1/2 (* (exp re) (sin (+ (* (PI) 1/2) im))) (exp re) (+ 1 re) (* (exp re) (sin (+ (* (PI) 1/2) (neg im)))) (sin (+ (* (PI) 1/2) (neg im))) (+ (* (PI) 1/2) (neg im)) (neg im))
2.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ 1 (* -1/2 (pow im 2))) (* -1/2 (pow im 2)) (pow im 2) 2 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im) (PI) 1/2 (* (exp re) (sin (+ (* (PI) 1/2) im))) (exp re) (+ 1 re) (* (exp re) (sin (+ (* (PI) 1/2) (neg im)))) (sin (+ (* (PI) 1/2) (neg im))) (+ (* (PI) 1/2) (neg im)) (neg im))
2.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ 1 (* -1/2 (pow im 2))) (* -1/2 (pow im 2)) (pow im 2) 2 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im) (PI) 1/2 (* (exp re) (sin (+ (* (PI) 1/2) im))) (exp re) (+ 1 re) (* (exp re) (sin (+ (* (PI) 1/2) (neg im)))) (sin (+ (* (PI) 1/2) (neg im))) (+ (* (PI) 1/2) (neg im)) (neg im))
2.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ 1 (* -1/2 (pow im 2))) (* -1/2 (pow im 2)) (pow im 2) 2 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im) (PI) 1/2 (* (exp re) (sin (+ (* (PI) 1/2) im))) (exp re) (+ 1 re) (* (exp re) (sin (+ (* (PI) 1/2) (neg im)))) (sin (+ (* (PI) 1/2) (neg im))) (+ (* (PI) 1/2) (neg im)) (neg im))
2.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) (+ (* (* im im) -1/2) 1) (* im im) im -1/2 1 (* (exp re) (cos im)) (cos im) (+ 1 (* -1/2 (pow im 2))) (* -1/2 (pow im 2)) (pow im 2) 2 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im) (PI) 1/2 (* (exp re) (sin (+ (* (PI) 1/2) im))) (exp re) (+ 1 re) (* (exp re) (sin (+ (* (PI) 1/2) (neg im)))) (sin (+ (* (PI) 1/2) (neg im))) (+ (* (PI) 1/2) (neg im)) (neg im))

rewrite369.0ms (11.9%)

Memory

-3.9MiB live, 320.5MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	147
0	49	142
1	203	127
2	655	127
3	3193	127
0	8103	127
1	21394	127

Stop Event

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

Counts

27 → 391

Calls

Call 1

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

Outputs
(.f64 #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(fma.f64 (sinh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64))) (.f64 (cosh.f64 re) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))))
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(fma.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 im) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (*.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 (sin.f64 im) #s(literal 0 binary64)))
(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 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (.f64 #s(literal 0 binary64) (cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 im))))
(-.f64 (.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (.f64 (cos.f64 im) #s(literal -1 binary64)))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal -1 binary64) (cos.f64 im)))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (.f64 (sin.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 (neg.f64 (fabs.f64 im)))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (fabs.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))))
(cos.f64 (fabs.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))))
(cos.f64 (fabs.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) im))))
(cos.f64 (fabs.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (+.f64 (-.f64 im (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im) (.f64 #s(literal 1/2 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im)) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im)) (PI.f64)))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1 binary64) im) (PI.f64)))
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(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 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
(cos.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
(cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) im) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) im)))
(cos.f64 (fabs.f64 im))
(cos.f64 (neg.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 1/2 binary64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.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 (sin.f64 im) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (neg.f64 (sin.f64 im)) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 (sin.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 (sin.f64 im) #s(literal 0 binary64)))
(/.f64 (fma.f64 (neg.f64 im) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 im) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im))
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 im)))
(neg.f64 (-.f64 im (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (neg.f64 im))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 im))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 im))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 im))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (PI.f64)) (neg.f64 im))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)
(-.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 im))
(+.f64 (neg.f64 im) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(+.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 im)

eval57.0ms (1.8%)

Memory: -4.9MiB live, 90.3MiB allocated; 14ms collecting garbage
Compiler: Compiled 3 626 to 1 176 computations (67.6% saved)

prune15.0ms (0.5%)

Memory

-3.3MiB live, 43.6MiB allocated; 2ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	420	6	426
Fresh	1	3	4
Picked	3	2	5
Done	0	4	4
Total	424	15	439

Accuracy

100.0%

Counts

439 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	73.4%	(*.f64 (fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))) (cos.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	63.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	57.3%	(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
▶	34.7%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
▶	33.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (+ ( (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
	33.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	57.2%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))) (cos.f64 im))
	33.9%	#s(approx (* (exp re) (sin (+ (* (PI) 1/2) (neg im)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
✓	32.6%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
▶	32.7%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓	56.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
	33.0%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))

Compiler

Compiled 295 to 288 computations (2.4% saved)

series18.0ms (0.6%)

Memory

-5.3MiB live, 40.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	1158

Stop Event

1×	iter-limit

Counts

25 → 58

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite243.0ms (7.8%)

Memory

14.0MiB live, 341.6MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	148
0	46	140
1	186	140
2	550	140
3	2913	140
0	8228	136
1	19715	136

Stop Event

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

Counts

25 → 315

Calls

Call 1

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

Outputs
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (neg.f64 (cos.f64 im))))
(fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(fma.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (*.f64 (sin.f64 im) #s(literal 0 binary64))))
(+.f64 (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 (sin.f64 im) #s(literal 0 binary64))))
(+.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 im))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im))) #s(literal 2 binary64))
(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im) (PI.f64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 im)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))
(fma.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) 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 (sin.f64 (neg.f64 (fabs.f64 im))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) im)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (fabs.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (neg.f64 (cos.f64 im)) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 im))))
(fma.f64 (+.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 im) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 im) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.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 (sin.f64 im) #s(literal 0 binary64)))
(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 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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)))
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(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
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(cos.f64 (neg.f64 im))
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(cos.f64 im)
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im
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(neg.f64 (-.f64 #s(literal -1 binary64) re))
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re
#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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (neg.f64 im) #s(literal 1 binary64))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im #s(literal 1 binary64))
(fma.f64 (neg.f64 im) (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))
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(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
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#s(literal -1/2 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.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)
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(pow.f64 (neg.f64 (neg.f64 (fabs.f64 im))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 im im) (*.f64 im im)))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
#s(literal 1 binary64)
#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (+ (* (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
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(/.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (PI.f64))))
#s(literal 1/2 binary64)
(PI.f64)
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(/.f64 (fma.f64 re #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
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(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
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(fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64)))))
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(neg.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) im)))
(neg.f64 (neg.f64 (cos.f64 im)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fabs.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (PI.f64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im) (PI.f64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 im)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im))
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(fma.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) im)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (cos.f64 im)))
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(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 (sin.f64 im) #s(literal 0 binary64)))
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(fma.f64 (+.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fabs.f64 im))) (cos.f64 im)) #s(literal 1/2 binary64) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (sin.f64 im) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 im) (cos.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 im)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (.f64 (cos.f64 im) (sin.f64 (.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.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 (sin.f64 im) #s(literal 0 binary64)))
(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 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 im))))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal -1 binary64) (cos.f64 im)))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 im))))
(-.f64 (.f64 (sin.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 (neg.f64 (fabs.f64 im)))))
(-.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))))
(cos.f64 (neg.f64 (fabs.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))))
(cos.f64 (fabs.f64 (fabs.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))))
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 (fabs.f64 im)))))
(cos.f64 (fabs.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (fabs.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) im)) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) im)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) im) (PI.f64)))
(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 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(cos.f64 (fabs.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (fabs.f64 im)))
(cos.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(cos.f64 (neg.f64 im))
(cos.f64 (fabs.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (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 (neg.f64 (cos.f64 im)) #s(literal -1 binary64)) (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im)) #s(literal 0 binary64)))
(+.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 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) 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 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) (sin.f64 (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (sin.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 (sin.f64 im) #s(literal 0 binary64)))
(/.f64 (fma.f64 (neg.f64 im) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 im) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) im))
(fma.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/9 binary64))) (pow.f64 (PI.f64) #s(literal 1/9 binary64)) (neg.f64 im))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 im))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (.f64 (cbrt.f64 (fabs.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (.f64 (neg.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 im))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (neg.f64 im))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 im))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 im))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 im))
(-.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) im)
(+.f64 (neg.f64 im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 im))

eval39.0ms (1.3%)

Memory: -11.1MiB live, 90.7MiB allocated; 18ms collecting garbage
Compiler: Compiled 2 744 to 990 computations (63.9% saved)

prune14.0ms (0.4%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	292	6	298
Fresh	2	2	4
Picked	2	3	5
Done	0	6	6
Total	296	17	313

Accuracy

100.0%

Counts

313 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.4%	(fma.f64 (cosh.f64 re) (cos.f64 im) (*.f64 (sinh.f64 re) (cos.f64 im)))
✓	73.4%	(*.f64 (fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))) (cos.f64 im))
	33.6%	(.f64 (sin.f64 #s(approx (+ ( (PI) 1/2) im) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	63.4%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	57.3%	(*.f64 (cos.f64 im) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
	57.2%	(.f64 (cos.f64 im) #s(approx (exp re) #s(approx (- re -1) (.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))))
	5.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 #s(approx (- ( 1/2 (PI)) im) (*.f64 #s(literal -1 binary64) im))))
	33.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	33.9%	#s(approx (* (exp re) (sin (- (* 1/2 (PI)) im))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) im)))
✓	32.6%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	32.7%	#s(approx (* (exp re) (cos im)) (sin.f64 #s(approx (+ (* (PI) 1/2) im) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
✓	56.2%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	31.8%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))))
	32.5%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 im im) (*.f64 im im))) #s(literal 1 binary64))))
	33.0%	#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))))))
	8.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* -1/2 (* im im)) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))

Compiler

Compiled 397 to 316 computations (20.4% saved)

regimes39.0ms (1.3%)

Memory

-14.0MiB live, 78.0MiB allocated; 7ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	im
8.0ms	(exp.f64 re)
7.0ms	re
7.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
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 11 to 15 computations (-36.4% saved)

regimes33.0ms (1.1%)

Memory

25.8MiB live, 71.9MiB allocated; 2ms collecting garbage

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

9.0ms	re
7.0ms	im
6.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
77.1%	2	`(cos.f64 im)`
89.1%	3	`(exp.f64 re)`
88.9%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
89.1%	3	`re`
78.6%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.4%)

Memory

-32.4MiB live, 18.0MiB allocated; 8ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
88.8%	3	`(exp.f64 re)`
88.8%	3	`re`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes12.0ms (0.4%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	im
3.0ms	re
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
63.4%	1	`(cos.f64 im)`
63.4%	1	`im`
63.4%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
63.4%	1	`(exp.f64 re)`
63.4%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.4%)

Memory

-22.8MiB live, 23.4MiB allocated; 2ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

4.0ms	re
2.0ms	im
2.0ms	(cos.f64 im)
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
33.0%	1	`(cos.f64 im)`
37.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
38.2%	2	`(exp.f64 re)`
33.0%	1	`im`
38.2%	2	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

Calls

4 calls:

1.0ms	re
1.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
33.0%	1	`(cos.f64 im)`
33.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
33.0%	1	`(exp.f64 re)`
33.0%	1	`re`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes6.0ms (0.2%)

Memory

-30.5MiB live, 16.5MiB allocated; 2ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	(exp.f64 re)
1.0ms	im
1.0ms	re
1.0ms	(cos.f64 im)
1.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
31.8%	1	`im`
31.8%	1	`re`
31.8%	1	`(exp.f64 re)`
31.8%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
31.8%	1	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch27.0ms (0.9%)

Memory

15.4MiB live, 62.5MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	11.129163379361279	346978.4244745612
12.0ms	-4.1200022716272757e-5	-9.389439372137683e-8

Samples

16.0ms

256×

valid

Compiler

Compiled 296 to 330 computations (-11.5% saved)

Precisions

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

ival-cos: 6.0ms (57.6% of total)

ival-exp: 3.0ms (28.8% of total)

ival-mult!: 1.0ms (9.6% of total)

adjust: 0.0ms (0% of total)

bsearch29.0ms (0.9%)

Memory

-23.7MiB live, 37.7MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.821368462375292e-22	7.8055234643074e-19
9.0ms	-4.1200022716272757e-5	-9.389439372137683e-8

Samples

19.0ms

224×

valid

Compiler

Compiled 280 to 314 computations (-12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 11.0ms (75.9% of total)

ival-exp: 2.0ms (13.8% of total)

ival-mult!: 1.0ms (6.9% of total)

adjust: 0.0ms (0% of total)

bsearch15.0ms (0.5%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-7129981.457945019	-0.0027762094873111254

Samples

8.0ms

144×

valid

Compiler

Compiled 278 to 289 computations (-4% saved)

Precisions

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

ival-cos: 3.0ms (55.3% of total)

ival-exp: 2.0ms (36.9% of total)

ival-mult!: 1.0ms (18.4% of total)

adjust: 0.0ms (0% of total)

derivations91.0ms (2.9%)

Memory

-23.4MiB live, 65.8MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 61 to 50 computations (18% saved)

preprocess72.0ms (2.3%)

Memory: 29.3MiB live, 75.1MiB allocated; 7ms collecting garbage
Remove: (abs im)
Compiler: Compiled 290 to 269 computations (7.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample837.0ms (27%)

preprocess49.0ms (1.6%)

series9.0ms (0.3%)

rewrite317.0ms (10.2%)

eval36.0ms (1.2%)

prune63.0ms (2%)

series44.0ms (1.4%)

rewrite333.0ms (10.7%)

eval216.0ms (7%)

prune64.0ms (2.1%)

series27.0ms (0.9%)

rewrite369.0ms (11.9%)

eval57.0ms (1.8%)

prune15.0ms (0.5%)

series18.0ms (0.6%)

rewrite243.0ms (7.8%)

eval39.0ms (1.3%)

prune14.0ms (0.4%)

regimes39.0ms (1.3%)

regimes33.0ms (1.1%)

regimes13.0ms (0.4%)

regimes12.0ms (0.4%)

regimes11.0ms (0.4%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch27.0ms (0.9%)

bsearch29.0ms (0.9%)

bsearch15.0ms (0.5%)

derivations91.0ms (2.9%)

preprocess72.0ms (2.3%)

end0.0ms (0%)

Profiling