Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 14 to 13 computations (7.1% saved)

sample2.3s (53.6%)

Memory

111.4MiB live, 3 348.6MiB allocated; 796ms collecting garbage

Samples

873.0ms	1 655×	2	valid
606.0ms	2 358×	1	valid
420.0ms	4 243×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 968.0ms (60.2% of total)

ival-cos: 293.0ms (18.2% of total)

ival-mult!: 150.0ms (9.3% of total)

adjust: 136.0ms (8.5% of total)

ival-sub!: 60.0ms (3.7% of total)

Bogosity

preprocess75.0ms (1.8%)

Memory

-36.2MiB live, 58.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	70
1	133	55
2	567	34
3	3812	34

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.6%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Symmetry

(abs re)

(negabs im)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series18.0ms (0.4%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	675

Stop Event

1×	iter-limit

Counts

11 → 38

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.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(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (- 0 im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))

Calls

6 calls:

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

rewrite148.0ms (3.5%)

Memory

-36.6MiB live, 206.3MiB allocated; 71ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	51	32
2	200	27
3	1223	27
0	4758	27

Stop Event

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

Counts

11 → 608

Calls

Call 1

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

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

eval67.0ms (1.6%)

Memory: 8.6MiB live, 149.2MiB allocated; 23ms collecting garbage
Compiler: Compiled 13 367 to 2 381 computations (82.2% saved)

prune11.0ms (0.3%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	633	5	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	634	5	639

Accuracy

99.9%

Counts

639 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
▶	79.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
▶	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
▶	41.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
▶	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))

Compiler

Compiled 162 to 138 computations (14.8% saved)

series58.0ms (1.4%)

Memory

-31.2MiB live, 108.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	1815

Stop Event

1×	iter-limit

Counts

30 → 85

Calls

Call 1

Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(expm1.f64 (+.f64 im im))
(+.f64 im im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.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(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im)))) (exp.f64 im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im)))) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) im))) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* -1 (* im (cos re))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im)))) (exp.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1 binary64) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -2/3 binary64) (cos.f64 re))) (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (.f64 #s(literal -1/3 binary64) (cos.f64 re))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4/3 binary64) (cos.f64 re)) (.f64 #s(literal -1 binary64) (cos.f64 re)))))))))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4/3 binary64) (cos.f64 re)) (.f64 #s(literal -1 binary64) (cos.f64 re))) (.f64 im (fma.f64 #s(literal 1/2 binary64) (.f64 im (-.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (.f64 #s(literal -4/15 binary64) (cos.f64 re)))) (fma.f64 #s(literal -1 binary64) (cos.f64 re) (fma.f64 #s(literal -2/3 binary64) (cos.f64 re) (fma.f64 #s(literal -1/12 binary64) (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4/3 binary64) (cos.f64 re)) (.f64 #s(literal -1 binary64) (cos.f64 re))))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -2/3 binary64) (cos.f64 re))) (fma.f64 #s(literal -4/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))))))))))
#s(approx (neg (- (exp (+ im im)) 1)) (.f64 im (-.f64 (.f64 #s(literal -2 binary64) im) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (.f64 im (-.f64 (.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (neg (- (exp (+ im im)) 1)) (.f64 im (-.f64 (.f64 im (-.f64 (.f64 im (-.f64 (.f64 #s(literal -2/3 binary64) im) #s(literal 4/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (+ im im)) 1) (*.f64 #s(literal 2 binary64) im))
#s(approx (- (exp (+ im im)) 1) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) im))))
#s(approx (- (exp (+ im im)) 1) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im))))))
#s(approx (- (exp (+ im im)) 1) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 2/3 binary64) im))))))))
#s(approx (- (* -1/3 (pow im 2)) 2) #s(literal -2 binary64))
#s(approx (- (* -1/3 (pow im 2)) 2) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (* -1/3 (pow im 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))) (exp.f64 im)))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (* im (- (* -1/3 (pow im 2)) 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (- (* -1/3 (pow im 2)) 2) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (/ (neg (- (exp (+ im im)) 1)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))) (exp.f64 im))))
#s(approx (/ (neg (- (exp (+ im im)) 1)) (exp im)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))) (exp.f64 im)))
#s(approx (neg (- (exp (+ im im)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (- (exp (+ im im)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))

Calls

6 calls:

Time	Variable	Point
9.0ms	im	inf
6.0ms	re	0
6.0ms	im	0
5.0ms	im	-inf
3.0ms	re	inf

rewrite164.0ms (3.9%)

Memory

56.0MiB live, 320.1MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	188
0	61	168
1	150	149
2	491	145
3	3651	145
0	4010	141

Stop Event

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

Counts

30 → 1 386

Calls

Call 1

Inputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im))
(neg.f64 (expm1.f64 (+.f64 im im)))
(expm1.f64 (+.f64 im im))
(+.f64 im im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(.f64 (.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)))
(.f64 (/.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)))
(.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re)) #s(literal 2 binary64)) (exp.f64 (neg.f64 im)))
(.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (neg.f64 (expm1.f64 (+.f64 im im))))
(*.f64 (neg.f64 (cos.f64 re)) (sinh.f64 im))
(.f64 (.f64 (expm1.f64 (+.f64 im im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (exp.f64 (neg.f64 im))))
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (exp.f64 (neg.f64 im)))
(.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (sinh.f64 im) (neg.f64 (cos.f64 re)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
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(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 #s(literal 0 binary64) im))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 im #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 im) im) #s(literal -1 binary64) (.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 (.f64 (neg.f64 im) im) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (.f64 (neg.f64 im) im) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) im))
(fma.f64 (.f64 (neg.f64 im) im) #s(literal -1 binary64) (.f64 im #s(literal 0 binary64)))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 #s(literal 0 binary64) im))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 im #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 #s(literal 0 binary64) im))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 im #s(literal 0 binary64)))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 #s(literal 0 binary64) im))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 im #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 im) im) (.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 im) im) (.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 im) im) (.f64 #s(literal 0 binary64) im))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 im) im) (.f64 im #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 im) (*.f64 im im))
(fma.f64 #s(literal 0 binary64) im (*.f64 im im))
(fma.f64 (neg.f64 im) #s(literal 0 binary64) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 #s(literal 0 binary64) im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 im #s(literal 0 binary64)))
(fma.f64 im #s(literal 0 binary64) (*.f64 im im))
(fma.f64 im im (*.f64 (neg.f64 im) #s(literal 0 binary64)))
(fma.f64 im im (*.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 im im (*.f64 #s(literal 0 binary64) im))
(fma.f64 im im (*.f64 im #s(literal 0 binary64)))
(-.f64 (*.f64 im im) #s(literal 0 binary64))
(fabs.f64 (*.f64 im im))
(+.f64 (.f64 (neg.f64 im) #s(literal 0 binary64)) (.f64 im im))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 im)) (.f64 im im))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) im))) (*.f64 im im))
(+.f64 (.f64 #s(literal 0 binary64) im) (.f64 im im))
(+.f64 (fma.f64 im im (.f64 #s(literal 2 binary64) (.f64 im #s(literal 0 binary64)))) #s(literal 0 binary64))
(+.f64 (-.f64 (.f64 im im) (.f64 #s(literal 2 binary64) (*.f64 im #s(literal 0 binary64)))) #s(literal 0 binary64))
(+.f64 (.f64 im #s(literal 0 binary64)) (.f64 im im))
(+.f64 (.f64 im im) (.f64 (neg.f64 im) #s(literal 0 binary64)))
(+.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))
(+.f64 (.f64 im im) (.f64 #s(literal 0 binary64) im))
(+.f64 (.f64 im im) (.f64 im #s(literal 0 binary64)))
#s(literal 2 binary64)

eval187.0ms (4.4%)

Memory: -37.0MiB live, 297.9MiB allocated; 136ms collecting garbage
Compiler: Compiled 28 336 to 4 292 computations (84.9% saved)

prune30.0ms (0.7%)

Memory

28.9MiB live, 75.7MiB allocated; 2ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 210	14	1 224
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 214	15	1 229

Accuracy

99.9%

Counts

1 229 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(.f64 (/.f64 (expm1.f64 (+.f64 im im)) (.f64 (exp.f64 im) #s(literal -2 binary64))) (cos.f64 re))
	49.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
✓	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
▶	64.8%	(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
	24.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
▶	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
▶	62.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
	41.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) (exp.f64 im))))
	4.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
▶	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
	26.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re)))))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
▶	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
	62.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))

Compiler

Compiled 628 to 524 computations (16.6% saved)

series27.0ms (0.6%)

Memory

7.8MiB live, 54.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	1283

Stop Event

1×	iter-limit

Counts

35 → 69

Calls

Call 1

Inputs
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
(.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))
(expm1.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
(exp.f64 (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)

Outputs
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.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(literal 1/2 binary64)))))
#s(approx (* -1/2 (pow re 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (neg (cos re)) #s(literal -1 binary64))
#s(approx (neg (cos re)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (cos re)) (-.f64 (.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(literal 1 binary64)))
#s(approx (neg (cos re)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (+ 1 (* -1/2 (pow re 2))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* -1 (* im (cos re))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (neg (cos re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (* -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) im))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (-.f64 (.f64 #s(literal 2/3 binary64) im) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (+ 1 (* -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))
#s(approx (exp im) (exp.f64 im))
#s(approx (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (/ (- (exp (* -2 im)) 1) (exp (neg im))) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
#s(approx (- (exp (* -2 im)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (+ 1 (* -1 im)) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(approx (/ (- (exp (* -2 im)) 1) (exp (neg im))) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (.f64 #s(literal -1 binary64) im))))

Calls

6 calls:

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

rewrite128.0ms (3%)

Memory

7.9MiB live, 197.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	238
0	67	219
1	165	192
2	568	183
3	3658	183
0	4040	180

Stop Event

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

Counts

35 → 1 099

Calls

Call 1

Inputs
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
(.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im)))
#s(literal 1/2 binary64)
(-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
(/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))
(expm1.f64 (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
(exp.f64 (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)

Outputs
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sinh.f64 im))
(.f64 (/.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 (sinh.f64 im) (neg.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 #s(literal 1/2 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (/.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im)))
(.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))) #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal -2 binary64)))
(neg.f64 (.f64 (sinh.f64 im) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 0 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 0 binary64) (.f64 #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(+.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 0 binary64)) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal 0 binary64) #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 #s(approx (cos re) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(.f64 (/.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (exp.f64 im)))
(.f64 (/.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 im)))
(.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))
(.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal -1/2 binary64)) (neg.f64 (exp.f64 im)))
(.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (exp.f64 im))
(.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 im)))))
(.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im))) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(.f64 (exp.f64 im) (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (cosh.f64 (/.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 im #s(literal 2 binary64))) (sinh.f64 (/.f64 (neg.f64 im) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 im))) (exp.f64 (neg.f64 im)))) (exp.f64 (.f64 #s(literal -2 binary64) im)))
(/.f64 (.f64 (-.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 im))) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)) (exp.f64 (.f64 #s(literal -2 binary64) im)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (exp.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (-.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 im))) (exp.f64 (neg.f64 im))) #s(literal 1 binary64)) (.f64 (exp.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im))) #s(literal 1 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 im))) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) im))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)))) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 im)))))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1/2 binary64)) (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (sinh.f64 (.f64 #s(literal -2 binary64) im)) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 (-.f64 (neg.f64 im) (*.f64 #s(literal -2 binary64) im))))
(neg.f64 (.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 im) #s(literal 2 binary64))))
(neg.f64 (sinh.f64 im))
(fma.f64 (sinh.f64 (-.f64 (.f64 #s(literal -2 binary64) im) #s(literal 0 binary64))) (cosh.f64 im) (.f64 (cosh.f64 (-.f64 (*.f64 #s(literal -2 binary64) im) #s(literal 0 binary64))) (sinh.f64 im)))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (exp.f64 im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 im)) #s(literal 0 binary64))
(fma.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 0 binary64))
(fma.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal -1/2 binary64)) (neg.f64 (exp.f64 im)) #s(literal 0 binary64))
(fma.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (cosh.f64 im) (.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (sinh.f64 im)))
(fma.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (sinh.f64 im) (.f64 (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (cosh.f64 im)))
(fma.f64 (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (exp.f64 im) #s(literal 0 binary64))
(fma.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 im)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im))) (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sinh.f64 (.f64 #s(literal -2 binary64) im)) (cosh.f64 im) (.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) im)) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (.f64 (sinh.f64 im) (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))
(fma.f64 (cosh.f64 im) #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (sinh.f64 im) (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) (.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 im) (.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
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(cos.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 re) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (fabs.f64 re) (PI.f64))))
(cos.f64 (fabs.f64 (fabs.f64 (+.f64 (PI.f64) re))))
(cos.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))))
(cos.f64 (fabs.f64 (+.f64 (neg.f64 re) (PI.f64))))
(cos.f64 (fabs.f64 (+.f64 (fabs.f64 re) (PI.f64))))
(cos.f64 (+.f64 (neg.f64 (fabs.f64 re)) (PI.f64)))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (-.f64 (neg.f64 (PI.f64)) re))
(cos.f64 (fabs.f64 (+.f64 (PI.f64) re)))
(cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) re)))
(cos.f64 (+.f64 (neg.f64 re) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 re) (PI.f64)))
(cos.f64 (+.f64 (PI.f64) re))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (neg.f64 (.f64 (sin.f64 re) #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (neg.f64 (sin.f64 re)) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re)) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (cos.f64 re)) (.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (neg.f64 (.f64 (sin.f64 re) #s(literal 0 binary64))) (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 re))))
(+.f64 (.f64 (sin.f64 (+.f64 (PI.f64) re)) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (fabs.f64 re)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (.f64 #s(literal 1 binary64) (cos.f64 re))))
(-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 (fabs.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))

eval169.0ms (4%)

Memory: -24.4MiB live, 236.6MiB allocated; 137ms collecting garbage
Compiler: Compiled 27 026 to 3 905 computations (85.6% saved)

prune41.0ms (1%)

Memory

-15.9MiB live, 82.7MiB allocated; 12ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 018	11	1 029
Fresh	3	6	9
Picked	3	2	5
Done	0	1	1
Total	1 024	20	1 044

Accuracy

99.9%

Counts

1 044 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(.f64 (/.f64 (expm1.f64 (+.f64 im im)) (.f64 (exp.f64 im) #s(literal -2 binary64))) (cos.f64 re))
	49.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
✓	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
▶	64.8%	(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
	24.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
	46.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (cos.f64 re) #s(literal -1 binary64) (.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
▶	26.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)) (PI.f64))) im))
✓	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
✓	62.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
▶	40.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))
	45.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
	41.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) (exp.f64 im))))
▶	4.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
	21.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))
	5.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 ( -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
	62.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
▶	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

Compiler

Compiled 897 to 731 computations (18.5% saved)

series39.0ms (0.9%)

Memory

-10.6MiB live, 86.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	403	1766

Stop Event

1×	iter-limit

Counts

35 → 91

Calls

Call 1

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

Outputs
#s(approx (* (sinh (neg im)) (cos re)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))
#s(approx (* (sinh (neg im)) (cos re)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.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(literal 1/2 binary64)))))
#s(approx (* -1/2 re) (*.f64 #s(literal -1/2 binary64) re))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (neg (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (neg (* im (cos re))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
#s(approx (neg (* im (cos re))) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/24 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (neg (* im (cos re))) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/24 binary64) im))) (.f64 #s(literal -1/2 binary64) im))) im))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (.f64 #s(literal -1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) im) (.f64 im (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (* (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) im) (fma.f64 #s(literal -1 binary64) (.f64 im (.f64 re (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))))) (.f64 im (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (* (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) im) (fma.f64 im (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 re (fma.f64 #s(literal -1 binary64) (.f64 im (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal -1/2 binary64) (.f64 im (.f64 re (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))
#s(approx (* (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) im) (fma.f64 im (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 re (fma.f64 #s(literal -1 binary64) (.f64 im (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 re (fma.f64 #s(literal -1/2 binary64) (.f64 im (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))) (.f64 #s(literal 1/6 binary64) (.f64 im (.f64 re (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))
#s(approx (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1 binary64) (.f64 re (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))))
#s(approx (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal -1/2 binary64) (.f64 re (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) (+.f64 (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 re (fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 re (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64)))) (.f64 #s(literal 1/6 binary64) (.f64 re (cos.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))
#s(approx (+ (+ (* (PI) 1/2) (neg re)) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (+ (+ (* (PI) 1/2) (neg re)) (PI)) (+.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) re (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ (* (PI) 1/2) (neg re)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/2) (neg re)) (fma.f64 #s(literal -1 binary64) re (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (neg re) (*.f64 #s(literal -1 binary64) re))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (+ (* (* -1/2 re) re) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (+ (* (* -1/2 re) re) 1) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (neg (* im (cos re))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) im) (.f64 im (sin.f64 (-.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) re))))
#s(approx (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) re)))
#s(approx (+ (+ (* (PI) 1/2) (neg re)) (PI)) (*.f64 re (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) re) (/.f64 (PI.f64) re)) #s(literal 1 binary64))))
#s(approx (+ (* (PI) 1/2) (neg re)) (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) re)) #s(literal 1 binary64))))
#s(approx (* (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) im) (.f64 im (sin.f64 (+.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) re (.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (sin (+ (+ (* (PI) 1/2) (neg re)) (PI))) (sin.f64 (+.f64 (PI.f64) (fma.f64 #s(literal -1 binary64) re (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (+ (+ (* (PI) 1/2) (neg re)) (PI)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (PI.f64))) re))))))
#s(approx (+ (* (PI) 1/2) (neg re)) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) re))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (.f64 im (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (* -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) im))) #s(literal 2 binary64))))
#s(approx (- (exp (* -2 im)) 1) (.f64 im (-.f64 (.f64 im (+.f64 #s(literal 2 binary64) (.f64 im (-.f64 (.f64 #s(literal 2/3 binary64) im) #s(literal 4/3 binary64))))) #s(literal 2 binary64))))
#s(approx (- (* 2 im) 2) #s(literal -2 binary64))
#s(approx (- (* 2 im) 2) (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))
#s(approx (* 2 im) (*.f64 #s(literal 2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (/ (- (exp (* -2 im)) 1) (exp (neg im))) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im))))
#s(approx (- (exp (* -2 im)) 1) (expm1.f64 (*.f64 #s(literal -2 binary64) im)))
#s(approx (* im (- (* 2 im) 2)) (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* im (- (* 2 im) 2)) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (- (* 2 im) 2) (.f64 im (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)))))
#s(approx (* (sinh (neg im)) (cos re)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (* 1/2 (/ (- (exp (* -2 im)) 1) (exp (neg im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(approx (/ (- (exp (* -2 im)) 1) (exp (neg im))) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (.f64 #s(literal -1 binary64) im))))
#s(approx (- (* 2 im) 2) (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))))

Calls

6 calls:

Time	Variable	Point
10.0ms	im	inf
4.0ms	im	-inf
2.0ms	im	0
2.0ms	re	-inf
2.0ms	re	inf

rewrite101.0ms (2.4%)

Memory

29.0MiB live, 219.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	290
0	71	283
1	185	248
2	696	246
0	4322	232

Stop Event

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

Counts

35 → 582

Calls

Call 1

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

Outputs
(.f64 (neg.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (sinh.f64 im))
(.f64 (/.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(.f64 (sinh.f64 im) (neg.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (/.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) #s(literal 2 binary64)))
(.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 (neg.f64 im)))
(.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))) #s(literal 1 binary64))
(neg.f64 (/.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal -2 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) #s(literal -2 binary64)))
(neg.f64 (.f64 (sinh.f64 im) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))))
(neg.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 im)))
(fma.f64 #s(literal 0 binary64) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) #s(literal 0 binary64) (.f64 #s(approx (cos re) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(+.f64 (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) #s(literal 0 binary64)) (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(+.f64 (.f64 #s(literal 0 binary64) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64)))) (.f64 #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))) (sinh.f64 (neg.f64 im))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 2 binary64)) (exp.f64 im)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -4 binary64))
(/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(sinh.f64 (neg.f64 im))
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(neg.f64 (cos.f64 re))
(sin.f64 (neg.f64 (-.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(sin.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re)))
(sin.f64 (+.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) re) (.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (-.f64 (fabs.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re) (PI.f64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) re))
(sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re) (PI.f64)))
(sin.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) re))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (neg.f64 (cos.f64 re)) (cos.f64 re)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 re) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (cos.f64 re) #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re))) (.f64 #s(literal 0 binary64) (sin.f64 (-.f64 re (PI.f64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re))) #s(literal 0 binary64))
(-.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 re)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 re))))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 re)))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(cos.f64 (fabs.f64 (-.f64 (PI.f64) re)))
(cos.f64 (fabs.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) re) (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) re) (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (fabs.f64 re)) (PI.f64)))
(cos.f64 (+.f64 (fabs.f64 re) (PI.f64)))
(cos.f64 (+.f64 re (PI.f64)))
(cos.f64 (+.f64 (-.f64 (fabs.f64 re) (.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(cos.f64 (-.f64 re (PI.f64)))
(cos.f64 (-.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) re) (.f64 (PI.f64) #s(literal -1/2 binary64))))
(cos.f64 (-.f64 (PI.f64) re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (cos.f64 re))) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (neg.f64 (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (neg.f64 (cos.f64 re)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 re))) #s(literal 0 binary64))
(+.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re)))
(/.f64 (fma.f64 (-.f64 (PI.f64) re) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (PI.f64) re) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) re) (neg.f64 (PI.f64))))
(neg.f64 (-.f64 re (*.f64 #s(literal 3/2 binary64) (PI.f64))))
(neg.f64 (-.f64 (-.f64 re (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(neg.f64 (-.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) re) (PI.f64)))
(neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) re)))
(fma.f64 #s(literal 3/2 binary64) (PI.f64) (neg.f64 re))
(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)) (-.f64 (PI.f64) re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (-.f64 (PI.f64) re))
(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)) (-.f64 (PI.f64) re))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (-.f64 (PI.f64) re))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (-.f64 (PI.f64) re))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (+.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 re))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (fma.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 re))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (PI.f64)))) (neg.f64 re))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (PI.f64) re))
(fma.f64 (cbrt.f64 (PI.f64)) (+.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 re))
(fma.f64 (cbrt.f64 (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (PI.f64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 re))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (-.f64 (PI.f64) re))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (PI.f64) re))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (PI.f64) re))
(-.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) re)
(-.f64 (-.f64 (PI.f64) re) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 re (PI.f64)))
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re) (neg.f64 (PI.f64)))
(-.f64 (neg.f64 re) (neg.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))
(-.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) re))
(+.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) (neg.f64 re))
(+.f64 (-.f64 (PI.f64) re) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (PI.f64) re))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re) (PI.f64))
(+.f64 (neg.f64 re) (*.f64 #s(literal 3/2 binary64) (PI.f64)))
(+.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re))
(/.f64 (fma.f64 (neg.f64 re) #s(literal -2 binary64) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 re) #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(neg.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) re))
(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 re))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 re))
(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 re))
(fma.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (neg.f64 re))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 re))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (neg.f64 re))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 re))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) re)
(-.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 re))
(+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(PI.f64)
(neg.f64 re)

eval139.0ms (3.3%)

Memory: 9.1MiB live, 227.5MiB allocated; 57ms collecting garbage
Compiler: Compiled 21 180 to 3 066 computations (85.5% saved)

prune27.0ms (0.6%)

Memory

7.8MiB live, 54.9MiB allocated; 4ms collecting garbage

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	714	9	723
Fresh	2	10	12
Picked	3	2	5
Done	0	3	3
Total	719	24	743

Accuracy

99.9%

Counts

743 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(.f64 (/.f64 (expm1.f64 (+.f64 im im)) (.f64 (exp.f64 im) #s(literal -2 binary64))) (cos.f64 re))
	49.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
✓	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
✓	64.8%	(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
	46.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (cos.f64 re) #s(literal -1 binary64) (.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))
	25.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)) (fabs.f64 re))) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (fabs.f64 re)))) #s(literal 2 binary64)) im))
	4.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
	40.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) im #s(literal -2 binary64)) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	26.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)) re)) im))
✓	47.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	37.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
✓	62.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
	40.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) (.f64 im (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))))) (exp.f64 (neg.f64 im)))))
	61.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) #s(literal -2 binary64)))) (exp.f64 (neg.f64 im)))))
	45.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
	4.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
	4.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
	12.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
	21.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))
	5.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 ( -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
	62.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
✓	25.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

Compiler

Compiled 634 to 510 computations (19.6% saved)

regimes243.0ms (5.7%)

Memory

-36.7MiB live, 354.2MiB allocated; 59ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

7 → 1

12 → 2

17 → 2

21 → 2

26 → 2

32 → 3

40 → 1

Calls

Call 1

Inputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

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

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))

Call 2

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

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))

Call 3

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

Outputs

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

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))

Call 4

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))

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

Call 5

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) #s(literal -2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) im #s(literal -2 binary64)) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 ( -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))

Call 6

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) #s(literal -2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) im #s(literal -2 binary64)) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 ( -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) (.f64 im (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))

Call 7

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) #s(literal -2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) im #s(literal -2 binary64)) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 ( -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) (.f64 im (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)) (PI.f64))) im))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 im (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))

Call 8

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 im) #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))) #s(literal -1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) #s(literal -2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (- (exp (* -2 im)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) im #s(literal -2 binary64)) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (fma.f64 (.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) #s(approx (+ 1 ( -1 im)) (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im (-.f64 (.f64 #s(literal 2 binary64) im) #s(literal 2 binary64)))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) im)) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im #s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal -2 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (exp ( -2 im)) 1) (.f64 im #s(approx (- ( 2 im) 2) (.f64 im (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) im))))))) (exp.f64 (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (cosh.f64 im)) (sinh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(.f64 (sinh.f64 (neg.f64 im)) #s(approx (cos re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (sin.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)) re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 re)) (PI.f64))) im))
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(.f64 (/.f64 (expm1.f64 (+.f64 im im)) (.f64 (exp.f64 im) #s(literal -2 binary64))) (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) #s(approx (* im (- (* -1/3 (pow im 2)) 2)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (PI.f64)) (fabs.f64 re))) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (fabs.f64 re)))) #s(literal 2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (cos.f64 re) #s(literal -1 binary64) (.f64 (sin.f64 re) (sin.f64 (neg.f64 (PI.f64))))) im))

Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))

Calls

34 calls:

34.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
30.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
10.0ms	im
10.0ms	re
10.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
25.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
25.8%	1	`(cos.f64 re)`
25.8%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
25.8%	1	`re`
25.8%	1	`im`
25.8%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
62.2%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
62.2%	1	`im`
62.2%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
62.2%	1	`(cos.f64 re)`
62.2%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.2%	1	`re`
72.2%	2	`(cos.f64 re)`
72.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
72.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
78.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
78.7%	2	`(cos.f64 re)`
78.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
78.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
67.0%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
68.9%	2	`im`
78.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
87.4%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
78.7%	2	`(cos.f64 re)`
78.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
72.6%	2	`re`
89.4%	3	`im`
99.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
99.9%	1	`(cos.f64 re)`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
99.9%	1	`re`
99.9%	1	`im`

Compiler

Compiled 1 157 to 440 computations (62% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.7065455421413885e+22
0.0ms	-4.2937578420554345e-7	-1.1120363067563537e-14

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.7065455421413885e+22

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.7065455421413885e+22

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1120363067563537e-14	-3.2968083562108286e-17

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch28.0ms (0.7%)

Memory

-2.4MiB live, 42.5MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-0.0027822027197230274	0.015861286498228492

Samples

9.0ms	207×	0	valid
4.0ms	33×	1	valid

Compiler

Compiled 780 to 631 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 5.0ms (63.2% of total)

ival-sub!: 1.0ms (12.6% of total)

ival-mult!: 1.0ms (12.6% of total)

adjust: 0.0ms (0% of total)

derivations114.0ms (2.7%)

Memory

7.4MiB live, 148.1MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 401 to 83 computations (79.3% saved)

preprocess155.0ms (3.7%)

Memory

24.9MiB live, 258.0MiB allocated; 36ms collecting garbage

Remove

(negabs im)

(abs re)

Compiler

Compiled 2 735 to 1 452 computations (46.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.3s (53.6%)

preprocess75.0ms (1.8%)

series18.0ms (0.4%)

rewrite148.0ms (3.5%)

eval67.0ms (1.6%)

prune11.0ms (0.3%)

series58.0ms (1.4%)

rewrite164.0ms (3.9%)

eval187.0ms (4.4%)

prune30.0ms (0.7%)

series27.0ms (0.6%)

rewrite128.0ms (3%)

eval169.0ms (4%)

prune41.0ms (1%)

series39.0ms (0.9%)

rewrite101.0ms (2.4%)

eval139.0ms (3.3%)

prune27.0ms (0.6%)

regimes243.0ms (5.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.7%)

derivations114.0ms (2.7%)

preprocess155.0ms (3.7%)

end0.0ms (0%)

Profiling