Metrics for math.exp on complex, real part

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory

-38.6MiB live, 0.7MiB allocated; 8ms 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)

sample1.0s (32.9%)

Memory

72.5MiB live, 943.2MiB allocated; 899ms collecting garbage

Samples

757.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 561.0ms

ival-cos: 435.0ms (77.5% of total)

ival-exp: 86.0ms (15.3% of total)

ival-mult!: 39.0ms (6.9% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess94.0ms (3%)

Memory

-23.9MiB live, 19.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	51	34
2	138	32
3	417	32
4	1629	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 → 21

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

Calls

6 calls:

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

rewrite183.0ms (5.9%)

Memory

-1.8MiB live, 146.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	282
0	91	281
1	532	270
0	5122	250

Stop Event

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

Counts

26 → 41

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

eval4.0ms (0.1%)

Memory: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 258 to 137 computations (46.9% saved)

prune4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Accuracy

100.0%

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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))
▶	65.1%	(.f64 (exp.f64 re) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	65.7%	(*.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))
▶	56.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
▶	72.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
▶	55.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))

Compiler

Compiled 123 to 119 computations (3.3% saved)

series20.0ms (0.7%)

Memory

-5.6MiB live, 38.8MiB allocated; 6ms collecting garbage

Counts

25 → 64

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (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)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (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)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (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)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (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)) (* (exp re) (cos im)) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 1 (* (exp re) (cos im)) (* (exp re) (cos im)) (* (cos im) (- re -1)) (- re -1) -1)

rewrite248.0ms (7.9%)

Memory

-26.0MiB live, 270.9MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	1466
0	302	1227
1	1691	1126
0	8408	1062

Stop Event

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

Counts

89 → 197

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

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

eval18.0ms (0.6%)

Memory: 21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 968 to 755 computations (61.6% saved)

prune10.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	177	13	190

Accuracy

100.0%

Counts

190 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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))
	23.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
▶	65.7%	(*.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))
▶	35.2%	(.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))))
	34.1%	(.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))))
✓	56.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	72.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	55.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
	33.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
	55.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
▶	40.7%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	33.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 251 to 241 computations (4% saved)

series17.0ms (0.6%)

Memory

-26.5MiB live, 21.2MiB allocated; 4ms collecting garbage

Counts

28 → 64

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
2.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))
2.0ms	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) (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)))

rewrite181.0ms (5.8%)

Memory

47.8MiB live, 275.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1218
0	268	1107
1	1427	1103
0	8205	1053

Stop Event

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

Counts

92 → 227

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

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

eval29.0ms (0.9%)

Memory: -38.6MiB live, 61.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 795 to 962 computations (65.6% saved)

prune10.0ms (0.3%)

Memory

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

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	236	6	242
Fresh	1	3	4
Picked	2	3	5
Done	0	4	4
Total	239	16	255

Accuracy

100.0%

Counts

255 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	23.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.7%	(*.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))
▶	35.2%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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))))
▶	6.5%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	34.1%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	55.1%	#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)))
✓	56.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	72.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	55.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
▶	33.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
▶	55.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
✓	40.7%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	10.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
	10.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))))
✓	33.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 350 to 338 computations (3.4% saved)

series72.0ms (2.3%)

Memory

11.6MiB live, 145.6MiB allocated; 17ms collecting garbage

Counts

33 → 84

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	im	@	0	((* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im) im re (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
13.0ms	im	@	-inf	((* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im) im re (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
12.0ms	im	@	inf	((* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im) im re (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
5.0ms	re	@	inf	((* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im) im re (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)
2.0ms	re	@	-inf	((* (exp re) (cos im)) (* (cos im) (- re -1)) (* (+ (/ (cos im) re) (cos im)) re) (+ (/ (cos im) re) (cos im)) (/ (cos im) re) (cos im) im re (* (exp re) (cos im)) (* (cos im) (- re -1)) (+ 1 re) 1 (* (exp re) (cos im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (* re re) 1/2 (* (exp re) (cos im)) (exp re) (+ 1 re) (cos im) (+ (* (* im im) -1/2) 1) (* im im) -1/2 (* (exp re) (cos im)) (exp re) (cos im) (+ (* (exp (* (log im) 2)) -1/2) 1) (exp (* (log im) 2)) (* (log im) 2) (log im) 2)

rewrite266.0ms (8.5%)

Memory

7.5MiB live, 280.8MiB allocated; 135ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	1624
0	325	1540
1	1663	1519
0	8112	1458

Stop Event

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

Counts

117 → 265

Calls

Call 1

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

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

eval23.0ms (0.7%)

Memory: 5.3MiB live, 50.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 440 to 1 140 computations (53.3% saved)

prune18.0ms (0.6%)

Memory

-9.1MiB live, 37.7MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	206	10	216
Fresh	1	3	4
Picked	2	3	5
Done	0	7	7
Total	209	23	232

Accuracy

100.0%

Counts

232 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
	23.3%	(.f64 (exp.f64 re) #s(approx (cos im) #s(approx (+ ( (* im im) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
✓	65.7%	(*.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))
	35.2%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (cos im) (fma.f64 (exp.f64 (log.f64 (.f64 im im))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	6.5%	(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.1%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (cos im) #s(approx (+ ( (exp (* (log im) 2)) -1/2) 1) (.f64 (.f64 im im) #s(literal -1/2 binary64)))))
	34.1%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (cos im) (fma.f64 (.f64 im im) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	34.1%	(.f64 #s(approx (exp re) #s(approx (+ 1 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))))
	55.1%	#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)))
✓	56.0%	#s(approx (* (exp re) (cos im)) (*.f64 (cos.f64 im) (-.f64 re #s(literal -1 binary64))))
✓	72.0%	#s(approx (* (exp re) (cos im)) (exp.f64 re))
✓	55.3%	#s(approx (* (exp re) (cos im)) (cos.f64 im))
✓	33.6%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (+.f64 #s(literal 1 binary64) re)))
✓	55.8%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 (+.f64 (/.f64 (cos.f64 im) re) (cos.f64 im)) re)))
	33.5%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (*.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))) re)))
	35.1%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) (.f64 #s(approx (+ (/ (cos im) re) (cos im)) (+.f64 (+.f64 (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)) (*.f64 im im))) (/.f64 #s(literal 1 binary64) re)) #s(literal 1 binary64))) re)))
	35.2%	#s(approx (* (exp re) (cos im)) #s(approx (* (cos im) (- re -1)) #s(approx (* (+ (/ (cos im) re) (cos im)) re) (+.f64 (neg.f64 (.f64 (.f64 (*.f64 im im) re) (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))))))
✓	40.7%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
✓	10.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))))
	10.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))))
	10.5%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 re (.f64 #s(literal 1/2 binary64) re)))))
	3.6%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))
✓	33.3%	#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Compiler

Compiled 593 to 503 computations (15.2% saved)

regimes50.0ms (1.6%)

Memory

-7.4MiB live, 87.8MiB allocated; 17ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	re
9.0ms	(cos.f64 im)
8.0ms	im
7.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes50.0ms (1.6%)

Memory

-3.1MiB live, 84.9MiB allocated; 19ms collecting garbage

Counts

26 → 5

Calls

Call 1

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

Calls

5 calls:

16.0ms	re
14.0ms	(cos.f64 im)
7.0ms	im
6.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
86.2%	2	`(cos.f64 im)`
94.5%	3	`(exp.f64 re)`
99.4%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`
97.7%	4	`re`
85.3%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

25 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.3%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes13.0ms (0.4%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Counts

24 → 5

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.1%	3	`re`
99.0%	5	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes43.0ms (1.4%)

Memory

-1.1MiB live, 48.1MiB allocated; 19ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Calls

5 calls:

19.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
6.0ms	im
6.0ms	re
6.0ms	(cos.f64 im)
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
72.0%	1	`im`
75.9%	2	`(cos.f64 im)`
72.0%	1	`re`
72.0%	1	`(exp.f64 re)`
77.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes163.0ms (5.2%)

Memory

-40.7MiB live, 6.5MiB allocated; 5ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
76.1%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.3%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.0%	1	`(cos.f64 im)`
75.9%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes15.0ms (0.5%)

Memory

30.3MiB live, 30.3MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
44.5%	2	`(cos.f64 im)`
46.9%	2	`(exp.f64 re)`
46.9%	2	`re`
40.7%	1	`im`
50.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes40.0ms (1.3%)

Memory

-40.6MiB live, 5.5MiB allocated; 4ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

39.0ms

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

Results

Accuracy	Segments	Branch
50.6%	3	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.4%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.5%	2	`im`
35.7%	2	`(cos.f64 im)`
40.6%	2	`re`
40.6%	2	`(exp.f64 re)`
40.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
40.7%	2	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
33.6%	1	`im`
33.6%	1	`(cos.f64 im)`
33.6%	1	`re`
33.6%	1	`(exp.f64 re)`
33.6%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Accuracy

Total -19.4b remaining (-45.5%)

Threshold costs -19.4b (-45.5%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))))

Outputs
#s(approx (* (exp re) (cos im)) #s(approx (exp re) #s(literal 1 binary64)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
33.3%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
33.3%	1	`(cos.f64 im)`
33.3%	1	`re`
33.3%	1	`im`
33.3%	1	`(exp.f64 re)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9803502563708544	1.0
0.0ms	-0.0	0.021967351650287466
0.0ms	-0.01514829298637654	0.0
0.0ms	-inf	-0.999975959909269

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch14.0ms (0.5%)

Memory

-46.1MiB live, 0.7MiB allocated; 2ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
14.0ms	0.9803502563708544	1.0
0.0ms	-0.0	0.021967351650287466
0.0ms	-0.01514829298637654	0.0
0.0ms	-inf	-0.999975959909269

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9604678843063521	0.9776624834785637
0.0ms	-0.0	0.021967351650287466
0.0ms	-0.01514829298637654	0.0
0.0ms	-inf	-0.999975959909269

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	-0.01514829298637654	0.0

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	-0.01514829298637654	0.0

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	-0.01514829298637654	0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.021967351650287466

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000002952222329	65579696.105325945
0.0ms	-0.0	0.021967351650287466

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	1.000002952222329	65579696.105325945

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	1.000002952222329	65579696.105325945

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations332.0ms (10.6%)

Memory

23.1MiB live, 269.8MiB allocated; 82ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 158 to 102 computations (35.4% saved)

preprocess126.0ms (4%)

Memory: -12.0MiB live, 221.8MiB allocated; 34ms collecting garbage
Remove: (abs im)
Compiler: Compiled 919 to 785 computations (14.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.1%)

sample1.0s (32.9%)

preprocess94.0ms (3%)

series4.0ms (0.1%)

rewrite183.0ms (5.9%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

series20.0ms (0.7%)

rewrite248.0ms (7.9%)

eval18.0ms (0.6%)

prune10.0ms (0.3%)

series17.0ms (0.6%)

rewrite181.0ms (5.8%)

eval29.0ms (0.9%)

prune10.0ms (0.3%)

series72.0ms (2.3%)

rewrite266.0ms (8.5%)

eval23.0ms (0.7%)

prune18.0ms (0.6%)

regimes50.0ms (1.6%)

regimes50.0ms (1.6%)

regimes7.0ms (0.2%)

regimes13.0ms (0.4%)

regimes43.0ms (1.4%)

regimes163.0ms (5.2%)

regimes8.0ms (0.3%)

regimes15.0ms (0.5%)

regimes40.0ms (1.3%)

regimes12.0ms (0.4%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch1.0ms (0%)

bsearch14.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations332.0ms (10.6%)

preprocess126.0ms (4%)

end0.0ms (0%)

Profiling