Metrics for math.exp on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample799.0ms (25%)

Memory

35.6MiB live, 1 011.6MiB allocated; 244ms collecting garbage

Samples

583.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-cos: 239.0ms (65.5% of total)

ival-exp: 66.0ms (18.1% of total)

ival-mult!: 59.0ms (16.2% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess33.0ms (1%)

Memory

-14.2MiB live, 30.9MiB allocated; 8ms 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

8.9MiB live, 8.9MiB 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	Expression
1.0ms	re	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	re	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
1.0ms	im	@	inf	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	re	@	0	((* (exp re) (cos im)) (exp re) re (cos im) im)
0.0ms	im	@	-inf	((* (exp re) (cos im)) (exp re) re (cos im) im)

rewrite145.0ms (4.6%)

Memory

40.7MiB live, 180.7MiB allocated; 23ms 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)

eval4.0ms (0.1%)

Memory: -38.9MiB live, 7.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 246 to 132 computations (46.3% saved)

prune4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB 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))
▶	55.9%	(.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))))
▶	62.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	63.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
▶	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	50.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 137 to 131 computations (4.4% saved)

series20.0ms (0.6%)

Memory

-4.0MiB live, 42.4MiB allocated; 2ms 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	Expression
5.0ms	im	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms	im	@	0	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms	im	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms	re	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)
3.0ms	re	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2))))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) (sin (/ (PI) 2)))) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) (sin (/ (PI) 2))) (cos im) (sin (/ (PI) 2)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite233.0ms (7.3%)

Memory

37.7MiB live, 178.7MiB allocated; 40ms 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)
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(fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.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 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.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)))

eval39.0ms (1.2%)

Memory: 7.3MiB live, 49.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 619 to 952 computations (63.7% saved)

prune24.0ms (0.7%)

Memory

-33.5MiB live, 24.5MiB allocated; 10ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	197	13	210
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	199	18	217

Accuracy

100.0%

Counts

217 → 18

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))
✓	62.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	24.8%	(.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)))))
▶	29.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	63.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	36.6%	(.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))))
▶	27.1%	(.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))))
	28.8%	(.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))))
	26.4%	(.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))))
▶	26.6%	(.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))))
	63.4%	#s(approx (* (exp re) (cos im)) (/.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)))))
✓	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
	26.9%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	50.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	28.8%	#s(approx (* (exp re) (cos im)) #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))))
▶	3.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re)))
	28.5%	#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 478 to 448 computations (6.3% saved)

series15.0ms (0.5%)

Memory

24.2MiB live, 24.2MiB allocated; 0ms collecting garbage

Counts

35 → 54

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

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 (* (cos im) re) #s(hole binary64 (* re (cos im))))
#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 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) 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) 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 (- (* 1/24 (* 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 (* (cos im) re) #s(hole binary64 (+ re (* -1/2 (* (pow im 2) re)))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#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 (+ (* (- (* 1/24 (* 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	Expression
3.0ms	im	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re))
3.0ms	im	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re))
2.0ms	re	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re))
2.0ms	re	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re))
2.0ms	im	@	0	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (exp re) re (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1)) (sin im) im (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos im) 1) (cos im) 1 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (- (* 1/24 (* im im)) 1/2) (* im im)) 1) (- (* 1/24 (* im im)) 1/2) (* 1/24 (* im im)) 1/24 1/2 (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re))

rewrite216.0ms (6.8%)

Memory

3.9MiB live, 188.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1349
0	326	1257
1	1834	1255
0	8801	1197

Stop Event

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

Counts

89 → 204

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) (+.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) (+.f64 #s(literal 1 binary64) 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)))
(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)) #s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) re)
#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 (* (cos im) re) #s(hole binary64 (* re (cos im))))
#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 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) 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) 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 (- (* 1/24 (* 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 (* (cos im) re) #s(hole binary64 (+ re (* -1/2 (* (pow im 2) re)))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#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 (+ (* (- (* 1/24 (* 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 (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 (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) (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 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #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) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (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 (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1/8 binary64) #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) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 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))))))
(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 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 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 #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 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2 binary64)) #s(literal 3 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 (.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 ( (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 (exp re) (+.f64 #s(literal 1 binary64) re)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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 (exp re) (+.f64 #s(literal 1 binary64) re))
(/.f64 (fma.f64 (.f64 re re) re #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) (.f64 re #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 re re) re)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))) (/.f64 (.f64 (.f64 re re) re) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #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)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.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 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.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 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))) (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.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)) #s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re)))
#s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) re)
(*.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)))
#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 (* (cos im) re) (*.f64 (cos.f64 im) re))
#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 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re))
#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) (+ (* (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 (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 #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 (- (* 1/24 (* 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 (* (cos im) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) re))
#s(approx (* (cos im) re) (fma.f64 (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) re)) (.f64 im im) re))
#s(approx (* (cos im) re) (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) re)) (.f64 #s(literal -1/2 binary64) re)) (.f64 im im) re))
#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 (+ (* (- (* 1/24 (* 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)))

eval36.0ms (1.1%)

Memory: -6.0MiB live, 38.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 425 to 943 computations (61.1% saved)

prune19.0ms (0.6%)

Memory

-11.3MiB live, 35.4MiB allocated; 3ms collecting garbage

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	194	9	203
Fresh	2	7	9
Picked	2	3	5
Done	0	4	4
Total	198	23	221

Accuracy

100.0%

Counts

221 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(.f64 (exp.f64 re) (/.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))))
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	62.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	24.8%	(.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)))))
✓	29.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	63.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	36.6%	(.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))))
▶	13.6%	(.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) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	27.1%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	28.8%	(.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))))
	16.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)))))
	26.4%	(.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))))
✓	26.6%	(.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))))
	26.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	11.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos 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)))))
▶	99.7%	#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)))
✓	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	26.9%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	50.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	3.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re)))
	6.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) re)) (.f64 im im) re))))
▶	8.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) re))))
	28.5%	#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 629 to 596 computations (5.2% saved)

series25.0ms (0.8%)

Memory

7.1MiB live, 52.6MiB allocated; 4ms collecting garbage

Counts

39 → 80

Calls

Call 1

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

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 (* (cos im) re) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* re (+ 1 (* -1/2 (pow im 2))))))
#s(approx (* (* im im) re) #s(hole binary64 (* (pow im 2) re)))
#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 (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) 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 (+ 1 re) #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 (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* -1 (* re (- (* 1/2 (pow im 2)) 1)))))
#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 (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* -1/2 im))))))
#s(approx (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) #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) #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 (* (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 (* (cos im) re) #s(hole binary64 (+ re (* -1/2 (* (pow im 2) re)))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 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 (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* -1/2 im)))
#s(approx (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* im (- (* 1/24 (pow im 2)) 1/2))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* (PI) 1/2) im)) #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 (+ (* (PI) 1/2) im) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (PI) 1/2) im) #s(hole binary64 (+ im (* 1/2 (PI)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* -1/2 (* (pow im 2) re))))
#s(approx (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* (pow im 2) (+ (* -1/2 re) (/ re (pow im 2))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (- (* (* im im) 1/24) 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 (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* 1/24 (pow im 3))))
#s(approx (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (sin (+ im (* 1/2 (PI))))))
#s(approx (+ (* (PI) 1/2) im) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (PI) im))))))
#s(approx (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 im)))))
#s(approx (+ (* (PI) 1/2) im) #s(hole binary64 (* -1 (* im (- (* -1/2 (/ (PI) im)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (* (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (exp re)) (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (cos (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (sin im) im (cos im) (exp re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re) (+ (* (* (* im im) re) -1/2) re) (* (* im im) re) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) (* (- (* (* im im) 1/24) 1/2) im) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im))
5.0ms	re	@	0	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (* (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (exp re)) (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (cos (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (sin im) im (cos im) (exp re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re) (+ (* (* (* im im) re) -1/2) re) (* (* im im) re) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) (* (- (* (* im im) 1/24) 1/2) im) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im))
4.0ms	im	@	-inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (* (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (exp re)) (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (cos (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (sin im) im (cos im) (exp re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re) (+ (* (* (* im im) re) -1/2) re) (* (* im im) re) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) (* (- (* (* im im) 1/24) 1/2) im) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im))
4.0ms	im	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (* (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (exp re)) (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (cos (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (sin im) im (cos im) (exp re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re) (+ (* (* (* im im) re) -1/2) re) (* (* im im) re) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) (* (- (* (* im im) 1/24) 1/2) im) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im))
3.0ms	re	@	inf	((* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (* (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (exp re)) (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) (cos (* (PI) 1/2)) (* (PI) 1/2) (PI) 1/2 (sin im) im (cos im) (exp re) re (* (exp re) (cos im)) (* (cos im) (- re -1)) (* (cos im) re) (+ (* (* (* im im) re) -1/2) re) (* (* im im) re) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1 (cos im) (+ (* (* im im) -1/2) 1) (* (* im im) -1/2) (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) (* (- (* (* im im) 1/24) 1/2) im) (- (* (* im im) 1/24) 1/2) (* (* im im) 1/24) 1/24 (* (exp re) (cos im)) (sin (+ (* (PI) 1/2) im)) (+ (* (PI) 1/2) im))

rewrite179.0ms (5.6%)

Memory

13.6MiB live, 250.0MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	1860
0	427	1775
1	2329	1771
0	8155	1698

Stop Event

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

Counts

119 → 299

Calls

Call 1

Inputs
#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)))
(.f64 (fma.f64 (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im)) (exp.f64 re))
(fma.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 im) (cos.f64 im))
(cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(sin.f64 im)
im
(cos.f64 im)
(exp.f64 re)
re
#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) re))))
#s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) re)))
#s(approx (* (cos im) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) re))
(fma.f64 (.f64 (.f64 im im) re) #s(literal -1/2 binary64) re)
(.f64 (.f64 im im) re)
(*.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) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 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 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) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (cos im) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im)
(-.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) im)
#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 (* (cos im) re) #s(hole binary64 (* re (cos im))))
#s(approx (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* re (+ 1 (* -1/2 (pow im 2))))))
#s(approx (* (* im im) re) #s(hole binary64 (* (pow im 2) re)))
#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 (* (cos im) (- re -1)) #s(hole binary64 (* re (+ (cos im) (/ (cos im) 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 (+ 1 re) #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 (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* -1 (* re (- (* 1/2 (pow im 2)) 1)))))
#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 (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (cos (* 1/2 (PI)))))))
#s(approx (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) #s(hole binary64 (+ 1 (* im (+ (cos (* 1/2 (PI))) (* -1/2 im))))))
#s(approx (+ (* (cos (* (PI) 1/2)) (sin im)) (cos im)) #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) #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 (* (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 (* (cos im) re) #s(hole binary64 (+ re (* -1/2 (* (pow im 2) re)))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* 1/24 (* (pow im 2) re)))))))
#s(approx (* (cos im) re) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/2 re) (* (pow im 2) (+ (* -1/720 (* (pow im 2) re)) (* 1/24 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 (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* -1/2 im)))
#s(approx (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* im (- (* 1/24 (pow im 2)) 1/2))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (- (* 1/24 (pow im 2)) 1/2)))
#s(approx (* (* im im) 1/24) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (cos (* 1/2 (PI)))))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* im (+ (cos (* 1/2 (PI))) (* -1/2 (* im (sin (* 1/2 (PI))))))))))
#s(approx (sin (+ (* (PI) 1/2) im)) #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 (+ (* (PI) 1/2) im) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (PI) 1/2) im) #s(hole binary64 (+ im (* 1/2 (PI)))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (cos im) (- re -1)) #s(hole binary64 (* (cos im) (+ 1 re))))
#s(approx (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* -1/2 (* (pow im 2) re))))
#s(approx (+ (* (* (* im im) re) -1/2) re) #s(hole binary64 (* (pow im 2) (+ (* -1/2 re) (/ re (pow im 2))))))
#s(approx (+ (* (* im im) -1/2) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))))
#s(approx (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (* (- (* (* im im) 1/24) 1/2) im) im) 1) #s(hole binary64 (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (- (* (* im im) 1/24) 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 (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* 1/24 (pow im 3))))
#s(approx (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* (pow im 3) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (- (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (sin (+ im (* 1/2 (PI))))))
#s(approx (+ (* (PI) 1/2) im) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (PI) im))))))
#s(approx (* (- (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* -1 (* (pow im 3) (- (* 1/2 (/ 1 (pow im 2))) 1/24)))))
#s(approx (sin (+ (* (PI) 1/2) im)) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 im)))))
#s(approx (+ (* (PI) 1/2) im) #s(hole binary64 (* -1 (* im (- (* -1/2 (/ (PI) im)) 1)))))

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

eval38.0ms (1.2%)

Memory: -7.5MiB live, 81.0MiB allocated; 15ms collecting garbage
Compiler: Compiled 3 910 to 1 554 computations (60.3% saved)

prune25.0ms (0.8%)

Memory

14.6MiB live, 60.5MiB allocated; 4ms collecting garbage

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	282	10	292
Fresh	2	9	11
Picked	3	2	5
Done	0	7	7
Total	287	28	315

Accuracy

100.0%

Counts

315 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	62.7%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	24.8%	(.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)))))
✓	29.1%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	63.7%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (cos.f64 im))
	36.6%	(.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))))
	28.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (.f64 #s(approx (- (* (* im im) 1/24) 1/2) #s(literal -1/2 binary64)) im) im #s(literal 1 binary64))))
	27.0%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 #s(approx ( (- (* (* im im) 1/24) 1/2) im) (.f64 (.f64 (*.f64 im im) im) #s(literal 1/24 binary64))) im #s(literal 1 binary64))))
	16.8%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) 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)))))
	13.6%	(.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) #s(approx (+ (* (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	26.4%	(.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))))
✓	26.6%	(.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))))
	26.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos im) (fma.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	11.6%	(.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (cos 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)))))
	93.0%	#s(approx (* (exp re) (+ (* (sin im) (cos (/ (PI) 2))) (* (cos im) 1))) (fma.f64 (exp.f64 re) (cos.f64 im) (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 im)) (exp.f64 re))))
✓	99.7%	#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)))
✓	51.1%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	26.9%	#s(approx (* (exp re) (cos im)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) im)))
✓	50.5%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	3.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (cos.f64 im) re)))
	6.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) re)) (.f64 im im) re))))
	6.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) re (.f64 #s(literal -1/2 binary64) re)) (.f64 im im) re))))
	8.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) re) #s(literal -1/2 binary64) re))))
	8.3%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) (fma.f64 (.f64 im (.f64 im re)) #s(literal -1/2 binary64) re))))
	8.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) #s(approx (+ (* (* (* im im) re) -1/2) re) (.f64 (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64)) re)))))
	10.4%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) #s(approx (+ (* (* (* im im) re) -1/2) re) (.f64 (fma.f64 #s(literal -1/2 binary64) re (/.f64 re (.f64 im im))) (*.f64 im im))))))
	15.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (cos im) re) #s(approx (+ (* (* (* im im) re) -1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal -1/2 binary64))))))
	28.5%	#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 850 to 690 computations (18.8% saved)

regimes66.0ms (2.1%)

Memory

14.1MiB live, 148.9MiB allocated; 28ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	im
15.0ms	re
11.0ms	(exp.f64 re)
10.0ms	(cos.f64 im)
9.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes53.0ms (1.7%)

Memory

-3.4MiB live, 95.6MiB allocated; 21ms collecting garbage

Counts

32 → 4

Calls

Call 1

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

Calls

5 calls:

16.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
12.0ms	im
9.0ms	re
8.0ms	(cos.f64 im)
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
81.5%	2	`(cos.f64 im)`
89.5%	3	`(exp.f64 re)`
93.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
92.2%	4	`re`
83.2%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes40.0ms (1.3%)

Memory

-6.8MiB live, 38.2MiB allocated; 10ms collecting garbage

Counts

31 → 5

Calls

Call 1

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

Calls

2 calls:

31.0ms	re
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
93.8%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
89.5%	3	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes9.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

30 → 5

Calls

Call 1

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

Outputs
(.f64 (exp.f64 re) #s(approx (cos im) #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 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (* (exp re) (cos im)) (cos.f64 im))
(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (-.f64 (.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
93.6%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes70.0ms (2.2%)

Memory

2.9MiB live, 93.4MiB allocated; 13ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

(*.f64 (exp.f64 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) (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:

37.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	(exp.f64 re)
7.0ms	re
7.0ms	im
7.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
67.0%	2	`(cos.f64 im)`
62.7%	1	`im`
62.7%	1	`(exp.f64 re)`
62.7%	1	`re`
67.4%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes25.0ms (0.8%)

Memory

-12.3MiB live, 39.5MiB allocated; 20ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

(*.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:

16.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
66.9%	3	`(cos.f64 im)`
62.7%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes18.0ms (0.6%)

Memory

-6.1MiB live, 38.5MiB allocated; 6ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs
(.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:

10.0ms	(cos.f64 im)
7.0ms	re

Results

Accuracy	Segments	Branch
62.7%	1	`re`
62.7%	1	`(cos.f64 im)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes32.0ms (1%)

Memory

-11.1MiB live, 78.7MiB allocated; 12ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
7.0ms	(exp.f64 re)
5.0ms	im
5.0ms	re
5.0ms	(cos.f64 im)

Results

Accuracy	Segments	Branch
56.8%	2	`(exp.f64 re)`
44.5%	2	`im`
46.5%	3	`(cos.f64 im)`
57.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`
56.8%	2	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes35.0ms (1.1%)

Memory

-17.2MiB live, 48.6MiB allocated; 25ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Calls

3 calls:

17.0ms	(exp.f64 re)
8.0ms	re
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))

Results

Accuracy	Segments	Branch
52.0%	3	`(exp.f64 re)`
52.1%	3	`re`
54.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

(*.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))))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
54.0%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.3%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

Calls

1 calls:

7.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes40.0ms (1.2%)

Memory

-7.1MiB live, 83.0MiB allocated; 12ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Calls

5 calls:

11.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	(cos.f64 im)
8.0ms	re
5.0ms	(exp.f64 re)
4.0ms	im

Results

Accuracy	Segments	Branch
28.8%	1	`im`
33.5%	3	`(cos.f64 im)`
42.9%	3	`(exp.f64 re)`
42.9%	3	`re`
44.1%	4	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.4%)

Memory

-16.2MiB live, 29.8MiB allocated; 4ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
3.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
40.1%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`
39.9%	3	`(exp.f64 re)`
40.0%	3	`re`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.3%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
37.0%	2	`(exp.f64 re)`
37.0%	2	`re`
37.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.3%)

Memory

-33.9MiB live, 21.6MiB allocated; 6ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Calls

3 calls:

6.0ms	re
2.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
36.8%	3	`(exp.f64 re)`
36.8%	3	`re`
36.6%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.3%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms collecting garbage

Accuracy

Total -5.3b remaining (-9.7%)

Threshold costs -5.3b (-9.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
15.6%	1	`im`
15.6%	1	`(cos.f64 im)`
15.6%	1	`(exp.f64 re)`
15.6%	1	`re`
15.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch39.0ms (1.2%)

Memory

-9.6MiB live, 83.0MiB allocated; 9ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.536392070654949e+153	7.208480470329935e+154
10.0ms	132153622.47788876	248740637.7721088
18.0ms	-6.047989862319841	-1.9361028486812516e-13

Samples

21.0ms

320×

valid

Compiler

Compiled 408 to 450 computations (-10.3% saved)

Precisions

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

ival-cos: 7.0ms (48.5% of total)

ival-exp: 6.0ms (41.5% of total)

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

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998767409218804	0.9999999999998064
0.0ms	0.0023626064005992406	0.1385042940741066
0.0ms	-0.004518233729663518	-0.0
0.0ms	-inf	-681981125.826166

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998767409218804	0.9999999999998064
0.0ms	0.0023626064005992406	0.1385042940741066
0.0ms	-0.004518233729663518	-0.0
0.0ms	-inf	-681981125.826166

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0023626064005992406

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9974132573875534	0.9981848760821163
0.0ms	-0.004518233729663518	0.044258579592027114

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0023626064005992406

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0023626064005992406	0.1385042940741066

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0023626064005992406

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000015481891	+inf
0.0ms	0.0023626064005992406	0.1385042940741066

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch37.0ms (1.1%)

Memory

-17.4MiB live, 73.9MiB allocated; 19ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1235168037833697e+105	9.252157289519428e+120
16.0ms	-6.047989862319841	-1.9361028486812516e-13

Samples

19.0ms

272×

valid

Compiler

Compiled 748 to 740 computations (1.1% saved)

Precisions

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

ival-cos: 6.0ms (63% of total)

ival-exp: 2.0ms (21% of total)

ival-mult!: 1.0ms (10.5% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000015481891	+inf
0.0ms	0.9788334166646	0.9981848760821163

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9788334166646	0.9981848760821163

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9788334166646	0.9981848760821163

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations546.0ms (17.1%)

Memory

-5.9MiB live, 409.2MiB allocated; 249ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 212 to 136 computations (35.8% saved)

preprocess262.0ms (8.2%)

Memory: -6.2MiB live, 269.0MiB allocated; 59ms collecting garbage
Remove: (abs im)
Compiler: Compiled 1 373 to 1 145 computations (16.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample799.0ms (25%)

preprocess33.0ms (1%)

series4.0ms (0.1%)

rewrite145.0ms (4.6%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

series20.0ms (0.6%)

rewrite233.0ms (7.3%)

eval39.0ms (1.2%)

prune24.0ms (0.7%)

series15.0ms (0.5%)

rewrite216.0ms (6.8%)

eval36.0ms (1.1%)

prune19.0ms (0.6%)

series25.0ms (0.8%)

rewrite179.0ms (5.6%)

eval38.0ms (1.2%)

prune25.0ms (0.8%)

regimes66.0ms (2.1%)

regimes53.0ms (1.7%)

regimes40.0ms (1.3%)

regimes9.0ms (0.3%)

regimes70.0ms (2.2%)

regimes25.0ms (0.8%)

regimes18.0ms (0.6%)

regimes32.0ms (1%)

regimes35.0ms (1.1%)

regimes9.0ms (0.3%)

regimes9.0ms (0.3%)

regimes40.0ms (1.2%)

regimes12.0ms (0.4%)

regimes9.0ms (0.3%)

regimes10.0ms (0.3%)

regimes9.0ms (0.3%)

bsearch39.0ms (1.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (1.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations546.0ms (17.1%)

preprocess262.0ms (8.2%)

end0.0ms (0%)

Profiling