Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (41.6%)

Memory

21.5MiB live, 2 063.6MiB allocated; 434ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 926.0ms

ival-cos: 617.0ms (66.6% of total)

ival-exp: 122.0ms (13.2% of total)

ival-mult!: 74.0ms (8% of total)

ival-add!: 57.0ms (6.2% of total)

ival-neg: 54.0ms (5.8% of total)

adjust: 1.0ms (0.1% of total)

Bogosity

preprocess41.0ms (1.1%)

Memory

-25.6MiB live, 74.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	112	54
2	363	44
3	1990	34

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Symmetry

(abs re)

(abs im)

Compiler

Compiled 22 to 20 computations (9.1% saved)

series8.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

10 → 37

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))

Calls

6 calls:

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

rewrite206.0ms (5.6%)

Memory

29.0MiB live, 261.5MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	658
0	175	591
1	1017	564
0	8521	528

Stop Event

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

Counts

47 → 135

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx im #s(hole binary64 im))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))

Outputs
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re))))
(neg.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (*.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (exp.f64 im)) (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(-.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(-.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(+.f64 (.f64 (.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (.f64 (cos.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(neg.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(neg.f64 im)
im
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 re re) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal -1/4 binary64)))) (.f64 re re) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) (neg.f64 im))
#s(approx im im)
#s(approx (exp im) (-.f64 im #s(literal -1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval17.0ms (0.4%)

Memory: 5.8MiB live, 39.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 409 to 470 computations (80.5% saved)

prune24.0ms (0.7%)

Memory

-36.8MiB live, 18.0MiB allocated; 12ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Accuracy

100.0%

Counts

124 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
	46.9%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
▶	100.0%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
▶	76.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	63.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	64.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))

Compiler

Compiled 238 to 196 computations (17.6% saved)

series17.0ms (0.5%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Counts

23 → 52

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cosh.f64 im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))

Outputs
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (pow im 2)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* 1/48 (pow im 2)))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* (pow im 2) (+ 1/48 (* 1/1440 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (* 1/4 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

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

rewrite262.0ms (7.1%)

Memory

-21.7MiB live, 393.8MiB allocated; 121ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1293
0	282	1147
1	1661	1147
0	8195	1102

Stop Event

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

Counts

75 → 272

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cosh.f64 im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (* 2 (cosh im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (pow im 2)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* 1/48 (pow im 2)))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/4 (* (pow im 2) (+ 1/48 (* 1/1440 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (* 1/4 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Outputs
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (cos.f64 re) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (cos.f64 re)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (-.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(literal 1/2 binary64)
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (cosh.f64 im) (cosh.f64 im))) (-.f64 (cosh.f64 im) (cosh.f64 im)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im))))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(+.f64 (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 2 binary64)
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64))
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(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
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(+.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
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(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
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(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 -1/4 binary64)
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
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(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
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(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 im im))))
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(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 im im #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 im im))) (/.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(-.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 (.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 2 binary64) (.f64 im im))))) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 2 binary64) (*.f64 im im))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2 binary64))))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re))))
#s(approx (* (cos re) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos re) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cos re) 1/2) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (cos re) 1/2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re))))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)))
#s(approx (* (cos re) 1/2) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.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 (* (cosh im) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 im im) #s(literal 1/48 binary64)) (.f64 im im) #s(literal 1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (cosh im) 1/2) (.f64 #s(literal 1/4 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval34.0ms (0.9%)

Memory: 30.6MiB live, 118.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 10 590 to 1 220 computations (88.5% saved)

prune44.0ms (1.2%)

Memory

-27.3MiB live, 31.1MiB allocated; 49ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	319	5	324
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	320	11	331

Accuracy

100.0%

Counts

331 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
	46.9%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
✓	100.0%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
✓	76.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	47.7%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	26.4%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	15.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
✓	64.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
▶	49.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
▶	30.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))

Compiler

Compiled 400 to 318 computations (20.5% saved)

series35.0ms (0.9%)

Memory

20.5MiB live, 64.5MiB allocated; 16ms collecting garbage

Counts

27 → 73

Calls

Call 1

Inputs
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(cos.f64 re)
re
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))

Outputs
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* -1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* 1/48 (* (pow re 2) (exp im))))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp im))) (* 1/48 (exp im)))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* 1/4 (cos re))))))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* 1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* 1/12 (cos re)))))))))))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (+ 1/2 (* -1/2 im))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (+ 1/2 (* im (- (* 1/4 im) 1/2)))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (+ 1/2 (* im (- (* im (+ 1/4 (* -1/12 im))) 1/2)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* 1/12 (* im (cos re))) (* 1/4 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (/ 1/2 (exp im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable	Point
17.0ms	im	inf
5.0ms	re	0
4.0ms	im	-inf
3.0ms	re	inf
3.0ms	re	-inf

rewrite216.0ms (5.8%)

Memory

11.9MiB live, 384.6MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	373	2016
0	400	1785
1	2501	1785
0	9336	1709

Stop Event

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

Counts

100 → 274

Calls

Call 1

Inputs
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(cos.f64 re)
re
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
#s(literal 1/2 binary64)
(exp.f64 im)
im
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/4 (exp im)) (* 1/4 (/ 1 (exp im)))))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (/ 1 (exp im)))))) (* 1/4 (/ 1 (exp im)))))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (/ 1 (exp im))) (* (pow re 2) (- (* -1/1440 (exp im)) (* 1/1440 (/ 1 (exp im))))))))) (* 1/4 (/ 1 (exp im)))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (exp im))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp im))) (* 1/2 (exp im)))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* 1/48 (* (pow re 2) (exp im))))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/4 (exp im)) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp im))) (* 1/48 (exp im)))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (/ (cos re) (exp im))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (* 1/2 (* (cos re) (exp im)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* 1/4 (cos re))))))))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* 1/4 (cos re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (* 1/12 (cos re)))))))))))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (+ 1/2 (* -1/2 im))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (+ 1/2 (* im (- (* 1/4 im) 1/2)))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (+ 1/2 (* im (- (* im (+ 1/4 (* -1/12 im))) 1/2)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/4 (* im (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* (cos re) 1/2) (exp im)) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* 1/12 (* im (cos re))) (* 1/4 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (/ 1/2 (exp im)) #s(hole binary64 (/ 1/2 (exp im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) (.f64 (neg.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (neg.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (cos.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))
(-.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))))
(-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 im)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))) (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))))))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
im
(.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (cos.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
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#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (.f64 (.f64 re re) (fma.f64 (/.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) im (cos.f64 re)))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 im (fma.f64 (cos.f64 re) #s(literal 0 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) (cos.f64 re)))
#s(approx (+ (* (cos re) (/ 1/2 (exp im))) (* (* (cos re) 1/2) (exp im))) (fma.f64 (fma.f64 (cos.f64 re) #s(literal 0 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64) (fma.f64 im (fma.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 re) #s(literal -1/3 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)))) (.f64 #s(literal 1/12 binary64) (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))) im)) im (cos.f64 re)))
#s(approx (/ 1/2 (exp im)) (fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (exp im)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64)) im #s(literal 1/2 binary64)))
#s(approx (/ 1/2 (exp im)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) im #s(literal 1/4 binary64)) im) #s(literal 1/2 binary64)) im #s(literal 1/2 binary64)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* (cos re) 1/2) (exp im)) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) (.f64 (cos.f64 re) im))))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (cos.f64 re) im) #s(literal 1/4 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* (cos re) 1/2) (exp im)) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (cos.f64 re) im) #s(literal 1/12 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ 1/2 (exp im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (.f64 (.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval34.0ms (0.9%)

Memory: -2.1MiB live, 88.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 14 128 to 1 357 computations (90.4% saved)

prune17.0ms (0.5%)

Memory

-16.8MiB live, 37.9MiB allocated; 6ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	296	9	305
Fresh	1	1	2
Picked	2	3	5
Done	0	4	4
Total	299	17	316

Accuracy

100.0%

Counts

316 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
✓	76.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	36.5%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
▶	24.4%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
✓	26.4%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
	15.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
✓	64.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
▶	39.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
	28.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
✓	30.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	30.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	26.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
	47.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
▶	7.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))

Compiler

Compiled 826 to 591 computations (28.5% saved)

series21.0ms (0.6%)

Memory

5.2MiB live, 51.5MiB allocated; 3ms collecting garbage

Counts

33 → 79

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
#s(literal 1/2 binary64)
(fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im)))
(exp.f64 im)
im
(cos.f64 re)
re
(/.f64 (cos.f64 re) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
(.f64 #s(literal -1/2 binary64) (.f64 re re))
#s(literal -1/2 binary64)
(*.f64 re re)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

Outputs
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (* 1/2 (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im)))))) (* 1/2 (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im))))))))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (+ (* 1/24 (/ 1 (exp im))) (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im))))))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (/ 1 (exp im))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (* -1/2 (/ (pow re 2) (exp im))) (/ 1 (exp im)))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (* (pow re 2) (- (* 1/24 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/720 (/ (pow re 2) (exp im))) (* 1/24 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* -1/2 (* re re)) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (/ (cos re) (exp im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* 1/2 (cos re)))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re)))))))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (* 2 (cos re))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (cos re)))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (cos re) (* -1 (* im (cos re))))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (cos re) (* im (- (* -1 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (cos re) (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (/ 2 (* im im)) 1) #s(hole binary64 (/ 2 (pow im 2))))
#s(approx (+ (/ 2 (* im im)) 1) #s(hole binary64 (/ (+ 2 (pow im 2)) (pow im 2))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (/ 2 (* im im)) 1) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

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

rewrite222.0ms (6%)

Memory

35.7MiB live, 369.6MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	2486
0	419	2195
1	2600	2183
0	9420	2075

Stop Event

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

Counts

112 → 255

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
#s(literal 1/2 binary64)
(fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im)))
(exp.f64 im)
im
(cos.f64 re)
re
(/.f64 (cos.f64 re) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
(.f64 #s(literal -1/2 binary64) (.f64 re re))
#s(literal -1/2 binary64)
(*.f64 re re)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 im im))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (* 1/2 (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (* (pow re 2) (+ (* 1/2 (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im)))))) (* 1/2 (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im))))))))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (* 1/24 (/ 1 (exp im)))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* 1/24 (exp im)) (+ (* 1/24 (/ 1 (exp im))) (* (pow re 2) (- (* -1/720 (exp im)) (* 1/720 (/ 1 (exp im))))))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (/ 1 (exp im))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (* -1/2 (/ (pow re 2) (exp im))) (/ 1 (exp im)))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (* (pow re 2) (- (* 1/24 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/720 (/ (pow re 2) (exp im))) (* 1/24 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* -1/2 (* re re)) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* 1/2 (+ 2 (pow im 2)))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ 2 (pow im 2)))) (* 1/2 (+ 2 (pow im 2))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (/ (cos re) (exp im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* -1/4 (* (pow re 2) (+ 2 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow re 2) (+ (* -1/4 (+ 2 (pow im 2))) (* 1/2 (/ (+ 2 (pow im 2)) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* 1/2 (cos re)))))))
#s(approx (* 1/2 (+ (* (exp im) (cos re)) (/ (cos re) (exp im)))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (* -1/2 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re)))))))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (* 2 (cos re))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (cos re)))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re))))) (+ (* -1/2 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/6 (cos re)))))) (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (* -1/2 (cos re))))) (* -1 (cos re)))))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (cos re) (* -1 (* im (cos re))))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (cos re) (* im (- (* -1 (* im (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (+ (cos re) (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (cos re)) (* 1/2 (cos re)))) (+ (* -1/2 (cos re)) (* 1/6 (cos re)))))) (+ (* -1 (cos re)) (* 1/2 (cos re))))) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (+ (/ 2 (* im im)) 1) #s(hole binary64 (/ 2 (pow im 2))))
#s(approx (+ (/ 2 (* im im)) 1) #s(hole binary64 (/ (+ 2 (pow im 2)) (pow im 2))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (+ (/ 2 (* im im)) 1) #s(hole binary64 (+ 1 (* 2 (/ 1 (pow im 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 2 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Outputs
(*.f64 (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))))
(+.f64 (.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))))) (neg.f64 (-.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))) (.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im)))) (-.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))) (.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im))))))
(fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im)))
(fma.f64 (cos.f64 re) (exp.f64 im) (/.f64 (cos.f64 re) (exp.f64 im)))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))) (-.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))))
(+.f64 (/.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))) (.f64 (.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))))) (/.f64 (pow.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (exp.f64 (+.f64 im im))) (.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))))))
(+.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (exp.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (exp.f64 im) (cos.f64 re)) (/.f64 (cos.f64 re) (exp.f64 im)))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
im
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
(/.f64 (neg.f64 (neg.f64 (cos.f64 re))) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 (neg.f64 (cos.f64 re)) (neg.f64 (exp.f64 im)))
(/.f64 (cos.f64 re) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (.f64 re re) #s(literal -1/2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (.f64 re re) #s(literal -1/2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (.f64 re re) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) re) re)
(.f64 (.f64 re re) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 re re))
#s(literal -1/2 binary64)
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.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))))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 im im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(*.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 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))))
(.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (cos re) #s(literal 1 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
(.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im)
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))
(.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 (.f64 im im) (/.f64 #s(literal 2 binary64) (.f64 im im))))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) (.f64 im im)))
(+.f64 (.f64 (.f64 im im) #s(literal 1 binary64)) (.f64 (.f64 im im) (/.f64 #s(literal 2 binary64) (*.f64 im im))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) (*.f64 im im)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im im))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) #s(literal 2 binary64) (.f64 im #s(literal 2 binary64))) (.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -4 binary64) (.f64 (neg.f64 (.f64 im im)) #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 im im)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))) (.f64 (.f64 im im) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) im (.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 2 binary64) im))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 im im)) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 im im))))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 im im) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (*.f64 im im)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (.f64 im im) (.f64 (.f64 im im) im)) (.f64 (*.f64 im im) im))
(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 im im) (.f64 (neg.f64 (.f64 im im)) (.f64 im im))) (.f64 (neg.f64 (.f64 im im)) (*.f64 im im)))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 im im) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 im im) (*.f64 im im)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 im im #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im))))))
(/.f64 (neg.f64 (fma.f64 im im #s(literal 2 binary64))) (neg.f64 (*.f64 im im)))
(/.f64 (fma.f64 im im #s(literal 2 binary64)) (*.f64 im im))
(fma.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 im)) (/.f64 #s(literal 1 binary64) (fabs.f64 im)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im)))) (/.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im)))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im im))))
(+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 im im)))))) (/.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im)))))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 im im)))
(*.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 im)) (/.f64 #s(literal 1 binary64) (fabs.f64 im)))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 im im)))
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#s(literal 2 binary64)
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#s(literal -1/4 binary64)
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#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) (*.f64 (cos.f64 re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) (fma.f64 (-.f64 (.f64 (neg.f64 im) (fma.f64 (cos.f64 re) #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))))) (neg.f64 (cos.f64 re))) (.f64 im im) (.f64 #s(literal 2 binary64) (cos.f64 re))))
#s(approx (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 im) (+.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 (cos.f64 re) #s(literal -1/3 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))))))) (fma.f64 (cos.f64 re) #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))))) im) (neg.f64 (cos.f64 re))) (.f64 im im) (.f64 #s(literal 2 binary64) (cos.f64 re))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (/ (cos re) (exp im)) (fma.f64 (neg.f64 im) (cos.f64 re) (cos.f64 re)))
#s(approx (/ (cos re) (exp im)) (fma.f64 im (-.f64 (.f64 (neg.f64 im) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) (cos.f64 re)) (cos.f64 re)))
#s(approx (/ (cos re) (exp im)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 im) (fma.f64 (cos.f64 re) #s(literal -1/3 binary64) (neg.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re))))) (.f64 #s(literal -1/2 binary64) (cos.f64 re))) im) (cos.f64 re)) im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (/ 2 (* im im)) 1) (/.f64 #s(literal 2 binary64) (*.f64 im im)))
#s(approx (+ (/ 2 (* im im)) 1) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (+ (/ 2 (* im im)) 1) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (.f64 (.f64 im im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval38.0ms (1%)

Memory: -31.2MiB live, 59.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 14 878 to 1 642 computations (89% saved)

prune17.0ms (0.5%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	332	10	342
Fresh	2	3	5
Picked	3	2	5
Done	1	6	7
Total	338	21	359

Accuracy

100.0%

Counts

359 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
✓	76.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	36.4%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (.f64 im im)))))
	36.5%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 1 binary64)) (.f64 im im)))))
	36.9%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im))))
	14.6%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im)))))
✓	26.4%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	28.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
	36.5%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
	24.4%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (exp.f64 im) (cos.f64 re))))
	15.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
✓	64.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
	16.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im))))))
✓	30.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	26.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
	47.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
✓	7.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
	7.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64)))))))

Compiler

Compiled 1 511 to 597 computations (60.5% saved)

regimes52.0ms (1.4%)

Memory

-25.0MiB live, 71.0MiB allocated; 9ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im))))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 im) (cos.f64 re) (/.f64 (cos.f64 re) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (.f64 (exp.f64 im) (cos.f64 re))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(fma.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))

Outputs
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))

Calls

6 calls:

10.0ms	im
9.0ms	re
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
100.0%	1	`(cos.f64 re)`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes42.0ms (1.1%)

Memory

15.1MiB live, 60.9MiB allocated; 3ms collecting garbage

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im))))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))

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

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

Calls

6 calls:

8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	im
7.0ms	re
7.0ms	(cos.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
86.5%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
88.3%	2	`(cos.f64 re)`
88.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
88.7%	2	`re`
94.3%	3	`im`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes7.0ms (0.2%)

Memory

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

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im))))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes45.0ms (1.2%)

Memory

-25.6MiB live, 63.8MiB allocated; 9ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im))))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))

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

Calls

6 calls:

9.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	re
7.0ms	im
6.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
64.4%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
79.2%	2	`(cos.f64 re)`
79.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
67.8%	2	`re`
66.4%	2	`im`
79.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes15.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 #s(approx (+ (/ 2 ( im im)) 1) (/.f64 #s(literal 2 binary64) (.f64 im im))) (.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1 binary64)) im) im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) im) im) #s(literal 1 binary64)) (.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64)))))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))

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

Calls

3 calls:

5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(cos.f64 re)
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
77.0%	2	`(cos.f64 re)`
77.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes25.0ms (0.7%)

Memory

-14.9MiB live, 34.8MiB allocated; 9ms collecting garbage

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))))

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Calls

6 calls:

9.0ms	(cos.f64 re)
3.0ms	re
3.0ms	im
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
51.8%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
51.8%	2	`im`
49.6%	1	`re`
60.2%	2	`(cos.f64 re)`
60.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
60.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes9.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (*.f64 im im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (+ (* im im) 2) (*.f64 im im)))))

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Calls

3 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(cos.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
60.0%	2	`(cos.f64 re)`
60.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
60.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes11.0ms (0.3%)

Memory

-31.5MiB live, 14.4MiB allocated; 4ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) (+ (* im im) 2)) (*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))

Calls

3 calls:

6.0ms	(cos.f64 re)
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
54.2%	2	`(cos.f64 re)`
54.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
54.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

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

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

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

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

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

Calls

3 calls:

1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
54.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
39.1%	3	`(cos.f64 re)`
39.1%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

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

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

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

Calls

6 calls:

1.0ms	re
1.0ms	im
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
30.9%	2	`(cos.f64 re)`
30.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
24.4%	1	`re`
24.4%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
26.6%	2	`im`
30.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes6.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))))

Calls

6 calls:

1.0ms	re
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	im
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
7.9%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
7.9%	1	`re`
7.9%	1	`im`
7.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
7.9%	1	`(cos.f64 re)`
7.9%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9981266253519167	1.0
0.0ms	-inf	-0.9972001174994229

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9981266253519167	1.0
0.0ms	-inf	-0.9972001174994229

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06203221601322841	0.029073615483116978

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06203221601322841	0.029073615483116978

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06203221601322841	0.029073615483116978

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06203221601322841	0.029073615483116978

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02763490447506855	0.014528528125078646

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1540951013123413	1.5270348723107231e+147
0.0ms	-0.06203221601322841	0.029073615483116978

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02763490447506855	0.014528528125078646

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations455.0ms (12.3%)

Memory

-51.9MiB live, 301.5MiB allocated; 155ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 823 to 95 computations (88.5% saved)

preprocess224.0ms (6.1%)

Memory

31.7MiB live, 260.2MiB allocated; 29ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 4 126 to 1 769 computations (57.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (41.6%)

preprocess41.0ms (1.1%)

series8.0ms (0.2%)

rewrite206.0ms (5.6%)

eval17.0ms (0.4%)

prune24.0ms (0.7%)

series17.0ms (0.5%)

rewrite262.0ms (7.1%)

eval34.0ms (0.9%)

prune44.0ms (1.2%)

series35.0ms (0.9%)

rewrite216.0ms (5.8%)

eval34.0ms (0.9%)

prune17.0ms (0.5%)

series21.0ms (0.6%)

rewrite222.0ms (6%)

eval38.0ms (1%)

prune17.0ms (0.5%)

regimes52.0ms (1.4%)

regimes42.0ms (1.1%)

regimes7.0ms (0.2%)

regimes45.0ms (1.2%)

regimes15.0ms (0.4%)

regimes25.0ms (0.7%)

regimes9.0ms (0.2%)

regimes11.0ms (0.3%)

regimes5.0ms (0.1%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations455.0ms (12.3%)

preprocess224.0ms (6.1%)

end0.0ms (0%)

Profiling