Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample2.5s (55%)

Memory

60.2MiB live, 4 465.9MiB allocated; 843ms collecting garbage

Samples

998.0ms	1 646×	2	valid
778.0ms	2 361×	1	valid
424.0ms	4 249×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-exp: 1.1s (59.1% of total)

ival-cos: 368.0ms (20% of total)

adjust: 152.0ms (8.3% of total)

ival-mult!: 130.0ms (7.1% of total)

ival-sub!: 103.0ms (5.6% of total)

Bogosity

preprocess66.0ms (1.4%)

Memory

-31.3MiB live, 70.3MiB allocated; 23ms 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
▶	52.4%	(.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)

series26.0ms (0.6%)

Memory

19.0MiB live, 62.3MiB allocated; 10ms 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
2.0ms	im	0
1.0ms	re	inf
1.0ms	im	-inf
1.0ms	im	inf
1.0ms	re	-inf

rewrite151.0ms (3.3%)

Memory

-10.3MiB live, 225.9MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	83	32
2	328	27
3	1883	27
0	4787	27

Stop Event

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

Counts

11 → 577

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

eval60.0ms (1.3%)

Memory: -5.4MiB live, 135.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 723 to 2 341 computations (81.6% saved)

prune9.0ms (0.2%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	604	3	607
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	605	3	608

Accuracy

99.9%

Counts

608 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
▶	38.9%	#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))))
▶	54.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re))))

Status

Accuracy

Program

▶

99.9%

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

▶

38.9%

#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))))

▶

54.0%

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

Compiler

Compiled 46 to 40 computations (13% saved)

series23.0ms (0.5%)

Memory

1.0MiB live, 47.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1052

Stop Event

1×	iter-limit

Counts

16 → 51

Calls

Call 1

Inputs
#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))
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))
(neg.f64 im)
(exp.f64 im)
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.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 (* 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 (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 (* (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 (* (* 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 (cos re) (cos.f64 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 (* (* 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 (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp 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 (* 1/2 (- (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 -1/5040 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 (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 (* (* 1/2 (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 (* (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))))))

Calls

6 calls:

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

rewrite122.0ms (2.7%)

Memory

7.4MiB live, 197.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	86
0	34	87
1	138	61
2	459	60
3	2769	60
0	4101	60

Stop Event

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

Counts

16 → 588

Calls

Call 1

Inputs
#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))
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))
(neg.f64 im)
(exp.f64 im)
(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
(sinh.f64 (neg.f64 im))

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

eval84.0ms (1.9%)

Memory: 3.3MiB live, 145.5MiB allocated; 47ms collecting garbage
Compiler: Compiled 14 705 to 2 260 computations (84.6% saved)

prune20.0ms (0.4%)

Memory

-0.1MiB live, 46.5MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	582	11	593
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	584	12	596

Accuracy

99.9%

Counts

596 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (sinh.f64 im)))))
✓	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
	65.1%	(.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))))))
▶	64.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))))
▶	54.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
▶	5.6%	#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)))))
	38.8%	#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 #s(literal -1 binary64) im))) (exp.f64 im))))
	54.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (/.f64 (-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 1 binary64) (cos.f64 re)))) (-.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))))))
	53.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) (.f64 im (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 re)) (.f64 #s(literal 1 binary64) (cos.f64 re))) (.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 re)))))))))
▶	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(literal -1 binary64) #s(approx ( im (cos re)) im)))
	64.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
	39.7%	#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 582 to 426 computations (26.8% saved)

series41.0ms (0.9%)

Memory

-12.0MiB live, 83.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	1803

Stop Event

1×	iter-limit

Counts

29 → 81

Calls

Call 1

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

Outputs
#s(approx (/ 1 (/ 2 (* (cos re) (* -2 (sinh im))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ 1 (/ 2 (* (cos re) (* -2 (sinh im))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (/ 1 (/ 2 (* (cos re) (* -2 (sinh im))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (/ 1 (/ 2 (* (cos re) (* -2 (sinh im))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/12 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -61/360 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (cos re) (* -2 (sinh im))) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.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 (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 (/ 1 (/ 2 (* (cos re) (* -2 (sinh im))))) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 #s(literal -2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.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 (neg (cos re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(approx (/ 1 (/ 2 (* (cos re) (* -2 (sinh 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) (* -2 (sinh 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) (* -2 (sinh 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 (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -7/360 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re))))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
#s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 31/15120 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 re))))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 #s(literal -2 binary64) (.f64 im (cos.f64 re))))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (.f64 #s(literal -1/60 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (* -2 (sinh im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* -2 (sinh im)) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* -2 (sinh 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 (* -2 (sinh 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 (sinh im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sinh im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sinh im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp 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 (* 1/2 (- (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 -1/5040 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)) (+.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 (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -7/360 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ 2 (* -2 (sinh im))) (/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 7/360 binary64))))) #s(literal 1 binary64)) im))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 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 (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)))

Calls

6 calls:

Time	Variable	Point
5.0ms	re	-inf
5.0ms	re	0
4.0ms	im	-inf
4.0ms	im	inf
3.0ms	re	inf

rewrite189.0ms (4.2%)

Memory

21.8MiB live, 256.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	55	185
1	218	154
2	842	154
0	4146	154

Stop Event

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

Counts

29 → 970

Calls

Call 1

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

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

eval166.0ms (3.7%)

Memory: -9.4MiB live, 318.5MiB allocated; 63ms collecting garbage
Compiler: Compiled 31 173 to 4 751 computations (84.8% saved)

prune75.0ms (1.7%)

Memory

36.5MiB live, 164.9MiB allocated; 30ms collecting garbage

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 182	15	1 197
Fresh	2	4	6
Picked	4	1	5
Done	0	1	1
Total	1 188	21	1 209

Accuracy

100.0%

Counts

1 209 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (cos.f64 re)))
▶	99.8%	(/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) (sinh.f64 im)))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (cos.f64 re)))
	14.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re))) (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)))))))
	53.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))))
✓	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
	65.1%	(.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))))))
	22.5%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) (sinh.f64 im)))) #s(literal -1 binary64)))
	31.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))))
	53.7%	#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))
	53.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 re) #s(literal -1 binary64)) (.f64 (cos.f64 re) #s(literal -1 binary64)) (fma.f64 (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 0 binary64)))))) im))
▶	5.6%	#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)))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	39.7%	#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))
	11.9%	#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)))))
	38.8%	#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 #s(literal -1 binary64) im))) (exp.f64 im))))
	5.6%	#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)))))
	64.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
▶	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
	13.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im))) #s(literal -1 binary64))))
▶	39.7%	#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 970 to 687 computations (29.2% saved)

series83.0ms (1.8%)

Memory

-10.5MiB live, 106.3MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	1395

Stop Event

1×	iter-limit

Counts

29 → 74

Calls

Call 1

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

Outputs
#s(approx (/ (* (sinh im) -2) (/ 2 (cos re))) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (/ (* (sinh im) -2) (/ 2 (cos re))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (cos re))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (/ (* (sinh im) -2) (/ 2 (cos re))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (.f64 #s(literal 1/1440 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (/ 2 (cos re)) #s(literal 2 binary64))
#s(approx (/ 2 (cos re)) (+.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (/ 2 (cos re)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/12 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (/ 2 (cos re)) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 61/360 binary64) (pow.f64 re #s(literal 2 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 (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 (* -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 (* 1/2 (* im (pow re 2))) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* im (pow re 2)) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (/ (* (sinh im) -2) (/ 2 (cos re))) (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (/ 2 (cos re)) (/.f64 #s(literal 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 1/2 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 (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) im))))
#s(approx (/ (* (sinh im) -2) (/ 2 (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 im) -2) (/ 2 (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 im) -2) (/ 2 (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 im) -2) (*.f64 #s(literal -2 binary64) im))
#s(approx (* (sinh im) -2) (.f64 im (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (sinh im) -2) (.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 (* (sinh im) -2) (.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 (sinh im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sinh im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sinh im) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 im (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.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)) (+.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 im) (* 1/2 (* im (pow re 2)))) (.f64 im (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ -1 (sinh im)) (/.f64 #s(literal -1 binary64) im))
#s(approx (/ -1 (sinh im)) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) im))
#s(approx (/ -1 (sinh im)) (/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -7/360 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)) im))
#s(approx (/ -1 (sinh im)) (/.f64 (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 31/15120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 7/360 binary64))))) #s(literal 1 binary64)) im))
#s(approx (* (sinh im) -2) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 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 (- im -1) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (/ -1 (sinh im)) (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 im) (/.f64 #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 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.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 im) (* 1/2 (* im (pow re 2)))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))

Calls

6 calls:

Time	Variable	Point
20.0ms	re	0
17.0ms	im	-inf
5.0ms	im	inf
5.0ms	re	inf
4.0ms	re	-inf

rewrite265.0ms (5.9%)

Memory

21.1MiB live, 386.6MiB allocated; 141ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	204
0	58	201
1	252	177
2	904	177
0	4094	177

Stop Event

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

Counts

29 → 844

Calls

Call 1

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

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

eval181.0ms (4%)

Memory: -25.5MiB live, 255.9MiB allocated; 160ms collecting garbage
Compiler: Compiled 20 814 to 3 328 computations (84% saved)

prune27.0ms (0.6%)

Memory

30.5MiB live, 76.2MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	845	10	855
Fresh	4	10	14
Picked	4	1	5
Done	0	2	2
Total	853	23	876

Accuracy

100.0%

Counts

876 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (.f64 (sinh.f64 im) #s(literal -2 binary64)) (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (/.f64 #s(literal 1 binary64) (cos.f64 re)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (/.f64 #s(literal 1 binary64) (cos.f64 re))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 re)) (/.f64 #s(literal 1 binary64) (cos.f64 re)))))))
	0.0%	(/.f64 (cos.f64 re) (*.f64 (pow.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))))
	53.9%	(/.f64 (cos.f64 re) #s(approx (/ -1 (sinh im)) (/.f64 #s(literal -1 binary64) im)))
	53.9%	(/.f64 #s(approx (* (sinh im) -2) (*.f64 #s(literal -2 binary64) im)) (/.f64 #s(literal 2 binary64) (cos.f64 re)))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im)) (cos.f64 re)))
	14.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (-.f64 (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re))) (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 im)) (cos.f64 re)))))))
	53.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* (cos re) (* -2 (sinh im)))) (/.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))))
✓	99.9%	(*.f64 (sinh.f64 (neg.f64 im)) (cos.f64 re))
	65.1%	(.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))))))
	22.5%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) (sinh.f64 im)))) #s(literal -1 binary64)))
	31.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ 2 (* -2 (sinh im))) (/.f64 #s(literal -1 binary64) im))))
	53.7%	#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))
	8.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (-.f64 #s(approx (exp im) (-.f64 im #s(literal -1 binary64))) (cosh.f64 im))) #s(literal 1/2 binary64)))
	11.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.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 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
	5.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (-.f64 im #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
✓	54.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.8%	#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 #s(literal -1 binary64) im))) (exp.f64 im))))
	64.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (sinh.f64 (neg.f64 im)))
✓	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (neg.f64 #s(approx (* im (cos re)) im)))
	13.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 im))) #s(literal -1 binary64))))
	39.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) re) re (neg.f64 im))))
	39.7%	#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 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))))))))
	39.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))

Compiler

Compiled 551 to 386 computations (29.9% saved)

regimes217.0ms (4.8%)

Memory

7.1MiB live, 478.8MiB allocated; 39ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

5 → 2

18 → 2

20 → 2

26 → 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)))

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

Outputs

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

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

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

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 (neg.f64 (cos.f64 re)) im))

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

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

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

Calls

33 calls:

25.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
13.0ms	im
12.0ms	(cos.f64 re)
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
11.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
31.7%	1	`re`
31.7%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
31.7%	1	`im`
31.7%	1	`(cos.f64 re)`
31.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
31.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
42.7%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
42.7%	2	`im`
39.7%	1	`re`
43.1%	2	`(cos.f64 re)`
43.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
43.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
66.9%	2	`re`
76.4%	2	`(cos.f64 re)`
76.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
76.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
77.9%	2	`(cos.f64 re)`
77.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
64.9%	1	`im`
64.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
78.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
89.6%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
82.0%	3	`(cos.f64 re)`
82.0%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
77.6%	2	`re`
89.6%	2	`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 1 158 to 394 computations (66% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	+inf
0.0ms	-inf	-1.8608771973252177e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	+inf

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch8.0ms (0.2%)

Memory

-55.2MiB live, 1.1MiB allocated; 17ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	+inf

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	+inf

Compiler

Compiled 15 to 16 computations (-6.7% saved)

derivations113.0ms (2.5%)

Memory

9.0MiB live, 193.3MiB allocated; 22ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 287 to 54 computations (81.2% saved)

preprocess109.0ms (2.4%)

Memory

35.4MiB live, 354.7MiB allocated; 53ms collecting garbage

Remove

(negabs im)

(abs re)

Compiler

Compiled 1 969 to 977 computations (50.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (55%)

preprocess66.0ms (1.4%)

series26.0ms (0.6%)

rewrite151.0ms (3.3%)

eval60.0ms (1.3%)

prune9.0ms (0.2%)

series23.0ms (0.5%)

rewrite122.0ms (2.7%)

eval84.0ms (1.9%)

prune20.0ms (0.4%)

series41.0ms (0.9%)

rewrite189.0ms (4.2%)

eval166.0ms (3.7%)

prune75.0ms (1.7%)

series83.0ms (1.8%)

rewrite265.0ms (5.9%)

eval181.0ms (4%)

prune27.0ms (0.6%)

regimes217.0ms (4.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.2%)

bsearch0.0ms (0%)

derivations113.0ms (2.5%)

preprocess109.0ms (2.4%)

end0.0ms (0%)

Profiling