Metrics for math.exp on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample917.0ms (28.9%)

Memory

23.8MiB live, 975.8MiB allocated; 245ms collecting garbage

Samples

678.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-cos: 229.0ms (64.2% of total)

ival-exp: 88.0ms (24.7% of total)

ival-mult!: 38.0ms (10.7% of total)

adjust: 1.0ms (0.3% of total)

Bogosity

preprocess41.0ms (1.3%)

Memory

-45.7MiB live, 15.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	167	32
3	773	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite152.0ms (4.8%)

Memory

18.7MiB live, 202.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	265
0	88	264
1	529	253
0	5022	233

Stop Event

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

Counts

23 → 38

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 438 to 132 computations (69.9% saved)

prune4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Accuracy

100.0%

Counts

34 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	56.0%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	58.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	60.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	50.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	49.4%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 165 to 131 computations (20.6% saved)

series28.0ms (0.9%)

Memory

-5.3MiB live, 40.4MiB allocated; 7ms collecting garbage

Counts

31 → 57

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow im 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow im 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (* (cos im) (sin (* 1/2 (PI))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))

Calls

6 calls:

Time	Variable	Point
12.0ms	re	inf
3.0ms	im	inf
3.0ms	im	-inf
3.0ms	im	0
3.0ms	re	-inf

rewrite219.0ms (6.9%)

Memory

-8.7MiB live, 324.3MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	1515
0	327	1284
1	1810	1192
0	8762	1130

Stop Event

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

Counts

88 → 223

Calls

Call 1

Inputs
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 im)
im
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 im)
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* 1/2 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* re (+ (* re (+ (* 1/6 (* re (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im)))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (+ (* (cos im) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (cos im))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) re)))))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (* (exp re) (sin (* 1/2 (PI))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (* (cos (* 1/2 (PI))) (exp re))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* -1/2 (* im (* (exp re) (sin (* 1/2 (PI)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* im (+ (* im (+ (* -1/2 (* (exp re) (sin (* 1/2 (PI))))) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))) (* (exp re) (sin (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* im (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* im (cos (* 1/2 (PI))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow im 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow im 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow im 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* 1/24 (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) (sin (/ (PI) 2))) #s(hole binary64 (* (cos im) (sin (* 1/2 (PI))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (-.f64 (.f64 (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))) (.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))) (.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re))))))
(fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re) (.f64 (*.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(fma.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (exp.f64 re) (*.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (exp.f64 re) (.f64 #s(literal 1 binary64) (cos.f64 im))))
(+.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (exp.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(/.f64 (fma.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64))) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im))))))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 #s(literal 1 binary64) (cos.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))))) (/.f64 (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) (.f64 (sin.f64 im) #s(literal 0 binary64)))
(sin.f64 im)
im
#s(literal 0 binary64)
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 im))) #s(literal 2 binary64))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) im) im)
(.f64 (.f64 im im) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 re re) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 re re) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)))) (.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))) (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64)))) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 re re) #s(literal 1 binary64))) (*.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64))) (.f64 (sin.f64 (-.f64 im (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 re re) #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 im))))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 #s(literal 1 binary64) (cos.f64 im))))) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 re re) re) #s(literal -1 binary64)) (fma.f64 re re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 re re) re) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 re re (+.f64 #s(literal 1 binary64) (.f64 re #s(literal -1 binary64))))))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 #s(literal 1/2 binary64) re) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 re (fma.f64 (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) re) #s(literal 1/6 binary64) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) #s(literal 1/2 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))) re (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (exp.f64 re) (cos.f64 im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#s(approx (- re -1) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 (cos.f64 im)) re) (neg.f64 (cos.f64 im))) re)))
#s(approx (* (exp re) (cos im)) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)) im (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re))))
#s(approx (* (exp re) (cos im)) (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re) (.f64 (fma.f64 (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)) im) #s(literal -1/2 binary64) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re))) im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)) im) (.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)) #s(literal -1/2 binary64))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re))) im (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re))))
#s(approx (cos im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos im) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) im (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos im) (fma.f64 im (fma.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) im) #s(literal -1/2 binary64) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos im) (fma.f64 im (fma.f64 im (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) im) #s(literal -1/6 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (.f64 (.f64 im im) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/24 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (.f64 im im) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (cos im) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 im im) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/720 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/24 binary64))) (.f64 im im))) (.f64 im im) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.f64 (exp.f64 re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (exp.f64 re) #s(literal -1/2 binary64))) (.f64 im im) (exp.f64 re)))
#s(approx (* im im) (*.f64 im im))
#s(approx (- (* 1/24 (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1/24 (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) re) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal 1/24 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (+.f64 #s(literal 1 binary64) re)) #s(literal -1/720 binary64) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) (.f64 im im) re) #s(literal 1 binary64)))
#s(approx (sin im) (sin.f64 im))
#s(approx (* (cos im) (sin (/ (PI) 2))) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 im)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (.f64 (.f64 im im) (.f64 im im))))
#s(approx (- (* 1/24 (* im im)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 im im)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))

eval33.0ms (1%)

Memory: -7.6MiB live, 82.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 633 to 952 computations (83.1% saved)

prune11.0ms (0.3%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	199	11	210
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	201	16	217

Accuracy

100.0%

Counts

217 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	56.0%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	58.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	27.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
▶	25.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	60.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	35.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	28.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	28.7%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	26.7%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	28.2%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	50.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	49.4%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	29.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

Compiler

Compiled 481 to 358 computations (25.6% saved)

series20.0ms (0.6%)

Memory

-9.2MiB live, 35.7MiB allocated; 7ms collecting garbage

Counts

36 → 58

Calls

Call 1

Inputs
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(sin.f64 im)
im
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
#s(literal 1 binary64)
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)

Outputs
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (+ (* 1/2 (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (+ (* re (+ (* 1/6 (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (* (exp re) (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (* (cos (* 1/2 (PI))) (exp re))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (+ (* -1/2 (* im (exp re))) (* (cos (* 1/2 (PI))) (exp re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (+ (* im (+ (* -1/2 (exp re)) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* -1/2 im))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* im (- (* -1/6 (* im (cos (* 1/2 (PI))))) 1/2)))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))

Calls

6 calls:

Time	Variable	Point
6.0ms	im	0
5.0ms	im	-inf
3.0ms	im	inf
2.0ms	re	inf
2.0ms	re	-inf

rewrite231.0ms (7.3%)

Memory

-9.1MiB live, 271.7MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	1466
0	309	1359
1	1612	1357
0	8326	1313

Stop Event

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

Counts

94 → 272

Calls

Call 1

Inputs
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(exp.f64 re)
re
(fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 im) #s(literal 1 binary64)))
(sin.f64 im)
im
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
#s(literal 1 binary64)
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/2 binary64)
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (cos im) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (+ (* 1/2 (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (cos im) (+ (* re (+ (cos im) (+ (* re (+ (* 1/6 (* re (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))) (* 1/2 (+ (cos im) (* (cos (* 1/2 (PI))) (sin im)))))) (* (cos (* 1/2 (PI))) (sin im))))) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (* (exp re) (+ (cos im) (* (cos (* 1/2 (PI))) (sin im))))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (* (cos (* 1/2 (PI))) (exp re))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (+ (* -1/2 (* im (exp re))) (* (cos (* 1/2 (PI))) (exp re)))))))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) #s(hole binary64 (+ (exp re) (* im (+ (* im (+ (* -1/2 (exp re)) (* -1/6 (* im (* (cos (* 1/2 (PI))) (exp re)))))) (* (cos (* 1/2 (PI))) (exp re)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* -1/2 im))))))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* im (- (* -1/6 (* im (cos (* 1/2 (PI))))) 1/2)))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (* (cos im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (* im im) -1/2) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))

Outputs
(*.f64 (fma.f64 (sin.f64 im) #s(literal 0 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (fma.f64 (sin.f64 im) #s(literal 0 binary64) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (-.f64 (.f64 (.f64 (cos.f64 im) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re))) (.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (.f64 (cos.f64 im) (exp.f64 re))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (-.f64 (.f64 (.f64 (cos.f64 im) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re))) (.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (.f64 (cos.f64 im) (exp.f64 re))))))
(fma.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re) (.f64 (cos.f64 im) (exp.f64 re)))
(fma.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (.f64 (exp.f64 re) (.f64 (sin.f64 im) #s(literal 0 binary64))) (*.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (exp.f64 re)) (*.f64 (cos.f64 im) (exp.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))) (fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 im) (.f64 (sin.f64 im) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))))) (neg.f64 (-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im))))) (-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im)))
(/.f64 (fma.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im)))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (cos.f64 im))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (cos.f64 im))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (-.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))))
(-.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (neg.f64 (cos.f64 im)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))))) (/.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) im)))) (.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))))))
(+.f64 (*.f64 (sin.f64 im) #s(literal 0 binary64)) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (sin.f64 im) #s(literal 0 binary64)))
(sin.f64 im)
im
#s(literal 0 binary64)
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(sin.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 im (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 im) #s(literal 0 binary64) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 im) (*.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 im)))
(cos.f64 (neg.f64 im))
(cos.f64 im)
(+.f64 (.f64 (sin.f64 im) #s(literal 0 binary64)) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(.f64 #s(approx ( (cos im) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) #s(literal 1 binary64)))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx ( (cos im) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (cos im) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1/2 binary64) (.f64 im im)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) im)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 im im) im)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im im) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 im im)))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) (.f64 (.f64 im im) #s(literal -1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(.f64 #s(approx ( (cos im) 1) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx ( (cos im) 1) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
#s(approx (* (cos im) 1) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64))))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
(.f64 (.f64 im im) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 im im))
(.f64 im (.f64 #s(literal -1/2 binary64) im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx ( (cos im) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx ( (cos im) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))))
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(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im))
(.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64)))) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal 1/13824 binary64) (pow.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 im im)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 im im)) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 im im))) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (*.f64 im im))))))
(fma.f64 (.f64 im im) #s(literal 1/24 binary64) (.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal -1/720 binary64))))
(fma.f64 (.f64 im im) #s(literal 1/24 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (*.f64 im im)))
(fma.f64 #s(literal 1/24 binary64) (.f64 im im) (.f64 (.f64 im im) (.f64 (*.f64 im im) #s(literal -1/720 binary64))))
(fma.f64 #s(literal 1/24 binary64) (.f64 im im) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (*.f64 im im)))
(+.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) #s(literal -1/720 binary64))))
(+.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 im im)))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (.f64 #s(literal 1/720 binary64) (.f64 im im)))) (+.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (*.f64 im im))))
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(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/13824 binary64) (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
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(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal 1/13824 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))
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(fma.f64 (*.f64 #s(literal -1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (-.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (*.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal -1/720 binary64)))))
(-.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1/720 binary64) (.f64 im im)))
(+.f64 (/.f64 (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (fma.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))))
(+.f64 (/.f64 #s(literal 1/13824 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))) (/.f64 (.f64 #s(literal -1/373248000 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) (.f64 (.f64 im im) #s(literal -1/720 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))))))
(+.f64 (.f64 (.f64 im im) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (+.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)) re)) (cos.f64 im)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) re) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im))) (cos.f64 im)) re (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im))) (cos.f64 im)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (+.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) re) (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)) (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)) #s(literal 1/2 binary64))) re (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im))) (cos.f64 im)) re (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im))) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64) (cos.f64 im)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 re (fma.f64 (.f64 (cos.f64 im) re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 im))) (cos.f64 im)) (cos.f64 im)))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 re re))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)) im (exp.f64 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 im (fma.f64 (.f64 #s(literal -1/2 binary64) im) (exp.f64 re) (.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re))) (exp.f64 re)))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (fma.f64 im (fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re)) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (exp.f64 re))) im (exp.f64 re)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) im #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) im (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) im #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (fma.f64 im (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) im) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) im (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (* (cos im) 1) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (cos im) 1) (fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/2 binary64) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (exp.f64 re)) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) (exp.f64 re))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (* im im) -1/2) (.f64 (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (sin im) (sin.f64 im))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (.f64 im im))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (-.f64 (-.f64 (+.f64 (pow.f64 im #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (.f64 im im))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/720 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 im im))))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (*.f64 im im)))

eval38.0ms (1.2%)

Memory: 12.1MiB live, 101.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 146 to 1 438 computations (85.8% saved)

prune36.0ms (1.1%)

Memory

-20.3MiB live, 44.0MiB allocated; 30ms collecting garbage

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	299	8	307
Fresh	1	6	7
Picked	3	2	5
Done	0	4	4
Total	303	20	323

Accuracy

100.0%

Counts

323 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	56.0%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	58.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
▶	27.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
✓	25.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	60.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
✓	35.7%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	28.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	28.7%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	14.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	14.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	49.2%	#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)))
✓	50.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	49.4%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	29.3%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
▶	26.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	16.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))

Compiler

Compiled 760 to 553 computations (27.2% saved)

series10.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

35 → 49

Calls

Call 1

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

Outputs
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))

Calls

6 calls:

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

rewrite166.0ms (5.2%)

Memory

17.1MiB live, 288.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1282
0	231	1218
1	1137	1205
0	8606	1121

Stop Event

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

Counts

84 → 359

Calls

Call 1

Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(cos.f64 im)
im
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 im im)
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im)) #s(literal 1/2 binary64))
(.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(*.f64 re re)
#s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(exp.f64 re)
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (cos im)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (cos im)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (* (cos im) (exp re))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))))
#s(approx (* (exp re) (cos im)) #s(hole binary64 (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* -1/2 (pow im 2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))))
#s(approx (cos im) #s(hole binary64 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))))
#s(approx im #s(hole binary64 im))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (+ 1/24 (* -1/720 (pow im 2)))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* -1/720 (pow im 6))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (- (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* -1/720 (pow im 4))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (- (* 1/24 (/ 1 (pow im 2))) (+ 1/720 (/ 1/2 (pow im 4)))))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* -1/720 (pow im 2))))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(hole binary64 (* (pow im 2) (- (* 1/24 (/ 1 (pow im 2))) 1/720))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* -1/2 (pow im 2))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))))

Outputs
(*.f64 (cos.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) (.f64 re re) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(fma.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) re))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 re)) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) re)
(*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))
(/.f64 (.f64 re (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(/.f64 (.f64 re (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re)))) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re))) re) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re))) re) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) re #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 re re) re) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (fma.f64 #s(literal 1/2 binary64) re #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal -1 binary64))))
(-.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (neg.f64 re) (/.f64 #s(literal 1 binary64) re)))
(-.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) re)) re))
(-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
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(.f64 #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))) (exp.f64 re))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))))
(fma.f64 (cosh.f64 re) #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))) (.f64 (sinh.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64)))))))
(fma.f64 #s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))) (cosh.f64 re) (.f64 #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))) (sinh.f64 re)))
(+.f64 (.f64 #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))) (cosh.f64 re)) (.f64 #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64)))))) (.f64 (sinh.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (cos im) #s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64)))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))
(.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64)))
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))
(.f64 (.f64 (neg.f64 im) im) (.f64 (.f64 (neg.f64 im) im) #s(literal 1/24 binary64)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) (.f64 #s(literal 1/24 binary64) (.f64 im im))))
(.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 im im) im) im)))
(.f64 #s(literal 1/24 binary64) (.f64 (.f64 (.f64 im im) im) im))
(.f64 (.f64 im im) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
(.f64 im (.f64 (.f64 (.f64 im im) im) #s(literal 1/24 binary64)))
(.f64 im (.f64 im (.f64 #s(literal 1/24 binary64) (.f64 im im))))
(.f64 (.f64 (fabs.f64 im) (neg.f64 im)) (*.f64 (fabs.f64 im) (neg.f64 im)))
(.f64 (.f64 (fabs.f64 im) im) (*.f64 (fabs.f64 im) im))
(.f64 (.f64 (neg.f64 im) (fabs.f64 im)) (*.f64 (neg.f64 im) (fabs.f64 im)))
(.f64 (.f64 im (fabs.f64 im)) (*.f64 im (fabs.f64 im)))
(.f64 (.f64 (*.f64 im im) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) (*.f64 im im)))
(.f64 (.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) (*.f64 im im)))
(.f64 (.f64 im im) (*.f64 im im))
(.f64 im (.f64 (*.f64 im im) im))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 im) im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 2 binary64))
(pow.f64 im #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 (*.f64 im im) im) (neg.f64 im)))
(fabs.f64 (.f64 (.f64 (*.f64 im im) im) im))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 4 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (*.f64 (-.f64 re #s(literal -1 binary64)) (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (cos.f64 im)) re (cos.f64 im)))
#s(approx (* (exp re) (cos im)) (fma.f64 re (fma.f64 (*.f64 (cos.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (cos.f64 im)) (cos.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (+ (* (* re re) 1/2) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 #s(literal 1/2 binary64) re) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (/.f64 #s(literal 1 binary64) re)) #s(literal -1/2 binary64)) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (cos im)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (.f64 im im) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64))) (exp.f64 re)))
#s(approx (* (exp re) (cos im)) (fma.f64 (fma.f64 (.f64 (exp.f64 re) (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (.f64 im im) (.f64 #s(literal -1/2 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)))
#s(approx (cos im) (fma.f64 #s(literal -1/2 binary64) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (cos im) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal -1/2 binary64)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 #s(literal 1/24 binary64) (.f64 im im)))
#s(approx (* (+ (* -1/720 (* im im)) 1/24) (* im im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (* -1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* im im)) 1/24) (fma.f64 (*.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* (* (* im im) (* im im)) 1/24) (.f64 (.f64 (.f64 im im) im) (.f64 im #s(literal 1/24 binary64))))
#s(approx (* (* im im) (* im im)) (.f64 (.f64 (*.f64 im im) im) im))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im im) im) im)))))
#s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) (-.f64 (-.f64 (+.f64 (pow.f64 im #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 im im))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im im) im) im))))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 #s(literal -1/720 binary64) im) (.f64 (.f64 im im) im)))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 im (.f64 (.f64 (.f64 im im) im) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)))))
#s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im im) im) im))) (.f64 (.f64 (.f64 im im) im) im)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* im im)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/720 binary64)) (*.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))
#s(approx (+ (* (* im im) -1/2) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 im (.f64 (.f64 (.f64 im im) im) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))))
#s(approx (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) im) im)) #s(literal -1/24 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 (.f64 (.f64 im im) im) im)))

eval70.0ms (2.2%)

Memory: -17.6MiB live, 122.9MiB allocated; 41ms collecting garbage
Compiler: Compiled 13 497 to 1 870 computations (86.1% saved)

prune24.0ms (0.8%)

Memory

3.0MiB live, 50.1MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	381	8	389
Fresh	2	7	9
Picked	2	3	5
Done	1	5	6
Total	386	23	409

Accuracy

100.0%

Counts

409 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	58.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓	27.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
✓	25.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	60.9%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	28.3%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	28.7%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.4%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	7.5%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
	14.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	14.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	14.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	49.2%	#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)))
✓	50.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	27.5%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	49.4%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	26.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	26.7%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	29.3%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
✓	28.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	28.9%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
	16.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
	16.2%	#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))

Compiler

Compiled 1 361 to 582 computations (57.2% saved)

regimes45.0ms (1.4%)

Memory

30.6MiB live, 77.0MiB allocated; 3ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)))
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) (fma.f64 (sin.f64 im) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 im) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))

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

Calls

5 calls:

10.0ms	re
9.0ms	im
9.0ms	(cos.f64 im)
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(cos.f64 im)`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes52.0ms (1.6%)

Memory

-22.0MiB live, 74.5MiB allocated; 18ms collecting garbage

Counts

30 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))

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

Calls

5 calls:

20.0ms	im
8.0ms	re
8.0ms	(cos.f64 im)
8.0ms	(exp.f64 re)
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
77.2%	2	`(cos.f64 im)`
84.0%	3	`(exp.f64 re)`
88.7%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
86.0%	4	`re`
77.5%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

29 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
88.5%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.3%)

Memory

-30.7MiB live, 15.4MiB allocated; 3ms collecting garbage

Counts

28 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
88.1%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes36.0ms (1.1%)

Memory

21.2MiB live, 67.2MiB allocated; 2ms collecting garbage

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.1%	2	`(cos.f64 im)`
61.1%	2	`im`
58.7%	1	`(exp.f64 re)`
58.7%	1	`re`
63.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes112.0ms (3.5%)

Memory

-45.2MiB live, 26.4MiB allocated; 115ms collecting garbage

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))

Outputs

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

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

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

Calls

2 calls:

6.0ms	(cos.f64 im)
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
63.2%	3	`(cos.f64 im)`
58.7%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes32.0ms (1%)

Memory

45.1MiB live, 45.1MiB allocated; 0ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im)) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) im) im #s(literal -1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(approx (+ ( -1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 im im)))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 im im) im) #s(literal -1/720 binary64))))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) #s(approx (+ (* (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal -1/720 binary64)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 #s(literal 1/2 binary64) re) re re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 #s(approx (- (* (+ (* -1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal -1/2 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) #s(approx (cos im) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (neg.f64 re) (.f64 (neg.f64 re) (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)))))) #s(approx (cos im) (fma.f64 (*.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.7%	1	`(exp.f64 re)`
58.7%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
58.7%	1	`re`
58.7%	1	`im`
58.7%	1	`(cos.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes41.0ms (1.3%)

Memory

-18.1MiB live, 36.4MiB allocated; 11ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

21.0ms	im
5.0ms	re
5.0ms	(cos.f64 im)
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
42.5%	2	`(cos.f64 im)`
53.9%	2	`(exp.f64 re)`
54.3%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
53.9%	2	`re`
42.5%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes14.0ms (0.4%)

Memory

-24.5MiB live, 21.6MiB allocated; 2ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

6.0ms	re
4.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
54.0%	3	`(exp.f64 re)`
54.0%	3	`re`
54.7%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes12.0ms (0.4%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
45.0%	3	`(exp.f64 re)`
45.0%	3	`re`
45.7%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.5%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.8%	2	`(cos.f64 im)`
28.9%	1	`im`
41.9%	3	`(exp.f64 re)`
41.9%	3	`re`
42.0%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes16.0ms (0.5%)

Memory

-35.9MiB live, 10.7MiB allocated; 2ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

11.0ms	re
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
34.9%	2	`(exp.f64 re)`
34.9%	2	`re`
37.5%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
34.9%	2	`(exp.f64 re)`
34.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
34.8%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
34.8%	2	`re`
34.8%	2	`(exp.f64 re)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
34.2%	2	`re`
34.2%	2	`(exp.f64 re)`
34.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
28.2%	1	`im`
28.2%	1	`(cos.f64 im)`
28.2%	1	`re`
28.2%	1	`(exp.f64 re)`
28.2%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9993483977456543	0.9999999999999857
0.0ms	0.0	0.02221909720000155
0.0ms	-0.019679624078326595	-4.355432678243446e-143
0.0ms	-inf	-0.999305029908515

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9993483977456543	0.9999999999999857
0.0ms	0.0	0.02221909720000155
0.0ms	-0.019679624078326595	-4.355432678243446e-143
0.0ms	-inf	-0.999305029908515

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9993483977456543	0.9999999999999857
0.0ms	0.0	0.02221909720000155
0.0ms	-0.019679624078326595	-4.355432678243446e-143
0.0ms	-inf	-0.999305029908515

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9432492895791988	0.9533670503217591
0.0ms	-0.019679624078326595	-0.006960360727205996

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04754397020523719	0.11633513770757394

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.548289627533127e-143

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.02221909720000155

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations470.0ms (14.8%)

Memory

-19.4MiB live, 351.0MiB allocated; 66ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 135 to 132 computations (88.4% saved)

preprocess282.0ms (8.9%)

Memory: 41.6MiB live, 421.9MiB allocated; 75ms collecting garbage
Remove: (abs im)
Compiler: Compiled 3 410 to 1 321 computations (61.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample917.0ms (28.9%)

preprocess41.0ms (1.3%)

series4.0ms (0.1%)

rewrite152.0ms (4.8%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

series28.0ms (0.9%)

rewrite219.0ms (6.9%)

eval33.0ms (1%)

prune11.0ms (0.3%)

series20.0ms (0.6%)

rewrite231.0ms (7.3%)

eval38.0ms (1.2%)

prune36.0ms (1.1%)

series10.0ms (0.3%)

rewrite166.0ms (5.2%)

eval70.0ms (2.2%)

prune24.0ms (0.8%)

regimes45.0ms (1.4%)

regimes52.0ms (1.6%)

regimes8.0ms (0.3%)

regimes10.0ms (0.3%)

regimes36.0ms (1.1%)

regimes112.0ms (3.5%)

regimes32.0ms (1%)

regimes41.0ms (1.3%)

regimes14.0ms (0.4%)

regimes12.0ms (0.4%)

regimes15.0ms (0.5%)

regimes16.0ms (0.5%)

regimes4.0ms (0.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations470.0ms (14.8%)

preprocess282.0ms (8.9%)

end0.0ms (0%)

Profiling