Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.6s (17.6%)

Memory

7.6MiB live, 1 470.1MiB allocated; 455ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 631.0ms

ival-cos: 246.0ms (39% of total)

ival-exp: 226.0ms (35.8% of total)

ival-mult!: 101.0ms (16% of total)

ival-neg: 34.0ms (5.4% of total)

ival-add!: 22.0ms (3.5% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess574.0ms (6.1%)

Memory

-3.7MiB live, 42.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	112	54
2	363	44
3	1989	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 20 to 20 computations (0% saved)

series8.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

10 → 40

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)))
#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))
#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))
#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	Expression
1.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms	im	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))

rewrite1.4s (15.2%)

Memory

0.6MiB live, 478.1MiB allocated; 159ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	681
0	178	612
1	518	555
2	1925	517
0	8425	509
0	24278	470

Stop Event

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

Counts

50 → 849

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)))
#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))
#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))
#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 #s(literal -2 binary64) (*.f64 (cosh.f64 im) (cos.f64 re))) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 im) (cos.f64 re))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) (*.f64 (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 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (/.f64 (-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (cosh.f64 im))
(.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (neg.f64 (.f64 (exp.f64 im) (cos.f64 re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.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))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))) (fma.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re) (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im))))) (fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))) (fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.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))))) (fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 (.f64 (neg.f64 (.f64 (exp.f64 im) (cos.f64 re))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 (exp.f64 im) (cos.f64 re))) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (neg.f64 (.f64 (exp.f64 im) (cos.f64 re))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 (.f64 (neg.f64 (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))) (.f64 (neg.f64 (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (neg.f64 (cos.f64 re)) (.f64 (exp.f64 im) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.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 #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 #s(literal -1/2 binary64) (exp.f64 im)) (cos.f64 re))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 im)) (cos.f64 re))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (neg.f64 (exp.f64 (neg.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
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(fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 im)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im)) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (sinh.f64 im))
(fma.f64 #s(literal 1/4 binary64) (.f64 (cosh.f64 im) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (cosh.f64 im) #s(literal 4 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 im) (.f64 #s(literal -2 binary64) (cosh.f64 im))) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) (sinh.f64 im))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))) (sinh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))) (sinh.f64 im))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (sinh.f64 im))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(exp.f64 (*.f64 (log.f64 (E.f64)) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 im)) #s(literal 1 binary64)))
(exp.f64 im)
(+.f64 (-.f64 (cosh.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (cosh.f64 im))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 re re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (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)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) re) re #s(literal -1/4 binary64))) re) re (cosh.f64 im)))
#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 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) 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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (cosh.f64 im) (cos.f64 re)))
#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))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) #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 (.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)) im) im #s(literal 2 binary64)))
#s(approx (exp (neg im)) #s(literal 1 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) #s(literal 1 binary64))
#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 (cosh.f64 im) #s(literal 2 binary64)))
#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 (cosh.f64 im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval380.0ms (4.1%)

Memory: -9.0MiB live, 174.8MiB allocated; 35ms collecting garbage
Compiler: Compiled 8 327 to 2 690 computations (67.7% saved)

prune103.0ms (1.1%)

Memory

9.3MiB live, 47.4MiB allocated; 15ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	831	6	837
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	832	6	838

Accuracy

100.0%

Counts

838 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(.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))))
▶	58.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (neg.f64 (.f64 (exp.f64 im) (cos.f64 re)))))
▶	56.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 re re))))
▶	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
▶	53.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Compiler

Compiled 158 to 154 computations (2.5% saved)

series90.0ms (1%)

Memory

2.8MiB live, 47.7MiB allocated; 10ms collecting garbage

Counts

24 → 109

Calls

Call 1

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

Outputs
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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) (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 (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 (neg (* (exp im) (cos re))) #s(hole binary64 (* -1 (exp im))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* 1/2 (* (pow re 2) (exp im))) (exp im))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* (pow re 2) (- (* -1/24 (* (pow re 2) (exp im))) (* -1/2 (exp im)))) (exp im))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* (pow re 2) (- (* (pow re 2) (- (* 1/720 (* (pow re 2) (exp im))) (* 1/24 (exp im)))) (* -1/2 (exp im)))) (exp im))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (exp im)))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (exp im) (* -1/2 (* (pow re 2) (exp im))))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* 1/24 (* (pow re 2) (exp im))))))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (exp im))) (* 1/24 (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 (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (- 2 (* re re)) #s(hole binary64 2))
#s(approx (- 2 (* re re)) #s(hole binary64 (+ 2 (* -1 (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 (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (/ (cos re) (exp im))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (* -1 (* (cos re) (exp im)))))
#s(approx (* (exp im) (cos re)) #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 (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #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 (- 2 (* re re)) #s(hole binary64 (* -1 (pow re 2))))
#s(approx (- 2 (* re re)) #s(hole binary64 (* (pow re 2) (- (* 2 (/ 1 (pow re 2))) 1))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (cos re)))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (* 2 (cos re))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (cos re)))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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 (/ (cos re) (exp im)) #s(hole binary64 (cos re)))
#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 (exp im) #s(hole binary64 1))
#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 (neg (* (exp im) (cos re))) #s(hole binary64 (* -1 (cos re))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* -1 (* im (cos re))) (cos re))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* im (- (* -1/2 (* im (cos re))) (cos re))) (cos re))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* im (- (* im (- (* -1/6 (* im (cos re))) (* 1/2 (cos re)))) (cos re))) (cos re))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (cos re) (* im (cos re)))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (cos re) (* im (+ (cos re) (* 1/2 (* im (cos re))))))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (cos re) (* im (+ (cos re) (* im (+ (* 1/6 (* im (cos re))) (* 1/2 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (cosh im) #s(hole binary64 1))
#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 (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* 1/2 (- 2 (pow re 2)))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* 1/4 (* (pow im 2) (- 2 (pow re 2)))) (* 1/2 (- 2 (pow re 2))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* 1/2 (- 2 (pow re 2))) (* (pow im 2) (+ (* 1/48 (* (pow im 2) (- 2 (pow re 2)))) (* 1/4 (- 2 (pow re 2))))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* 1/2 (- 2 (pow re 2))) (* (pow im 2) (+ (* 1/4 (- 2 (pow re 2))) (* (pow im 2) (+ (* 1/1440 (* (pow im 2) (- 2 (pow re 2)))) (* 1/48 (- 2 (pow re 2))))))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 1/2))
#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 (+ (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))
#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 (exp im) #s(hole binary64 (exp im)))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* 1/4 (* (+ (exp im) (/ 1 (exp im))) (- 2 (pow re 2))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (* 1/4 (+ (exp im) (/ 1 (exp 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 (* (* 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	Expression
69.0ms	im	@	-inf	((* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (/ (cos re) (exp im)) (cos re) re (exp im) im (neg (* (exp im) (cos re))) (* (exp im) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* (cosh im) 1/2) (- 2 (* re re))) (* (cosh im) 1/2) (- 2 (* re re)) 2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))))
6.0ms	im	@	inf	((* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (/ (cos re) (exp im)) (cos re) re (exp im) im (neg (* (exp im) (cos re))) (* (exp im) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* (cosh im) 1/2) (- 2 (* re re))) (* (cosh im) 1/2) (- 2 (* re re)) 2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))))
4.0ms	re	@	0	((* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (/ (cos re) (exp im)) (cos re) re (exp im) im (neg (* (exp im) (cos re))) (* (exp im) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* (cosh im) 1/2) (- 2 (* re re))) (* (cosh im) 1/2) (- 2 (* re re)) 2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))))
3.0ms	im	@	0	((* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (/ (cos re) (exp im)) (cos re) re (exp im) im (neg (* (exp im) (cos re))) (* (exp im) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* (cosh im) 1/2) (- 2 (* re re))) (* (cosh im) 1/2) (- 2 (* re re)) 2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))))
3.0ms	re	@	inf	((* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (/ (cos re) (exp im)) (cos re) re (exp im) im (neg (* (exp im) (cos re))) (* (exp im) (cos re)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* (cosh im) 1/2) (- 2 (* re re))) (* (cosh im) 1/2) (- 2 (* re re)) 2 (* re re) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))))

rewrite688.0ms (7.4%)

Memory

30.5MiB live, 706.9MiB allocated; 155ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	2634
0	509	2377
1	1527	1929
2	7078	1919
0	8206	1833
0	32898	1721

Stop Event

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

Counts

133 → 1 591

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (neg.f64 (.f64 (exp.f64 im) (cos.f64 re)))))
#s(literal 1/2 binary64)
(-.f64 (/.f64 (cos.f64 re) (exp.f64 im)) (neg.f64 (*.f64 (exp.f64 im) (cos.f64 re))))
(/.f64 (cos.f64 re) (exp.f64 im))
(cos.f64 re)
re
(exp.f64 im)
im
(neg.f64 (*.f64 (exp.f64 im) (cos.f64 re)))
(*.f64 (exp.f64 im) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
(cosh.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 re re))))
(.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
(*.f64 (cosh.f64 im) #s(literal 1/2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 re re))
#s(literal 2 binary64)
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (exp im) (+ (* (pow re 2) (- (* -1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) (/ 1 (exp im))))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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) (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 (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 (neg (* (exp im) (cos re))) #s(hole binary64 (* -1 (exp im))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* 1/2 (* (pow re 2) (exp im))) (exp im))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* (pow re 2) (- (* -1/24 (* (pow re 2) (exp im))) (* -1/2 (exp im)))) (exp im))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* (pow re 2) (- (* (pow re 2) (- (* 1/720 (* (pow re 2) (exp im))) (* 1/24 (exp im)))) (* -1/2 (exp im)))) (exp im))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (exp im)))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (exp im) (* -1/2 (* (pow re 2) (exp im))))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* 1/24 (* (pow re 2) (exp im))))))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (exp im) (* (pow re 2) (+ (* -1/2 (exp im)) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (exp im))) (* 1/24 (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 (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (- 2 (* re re)) #s(hole binary64 2))
#s(approx (- 2 (* re re)) #s(hole binary64 (+ 2 (* -1 (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 (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (* 1/2 (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))
#s(approx (/ (cos re) (exp im)) #s(hole binary64 (/ (cos re) (exp im))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (* -1 (* (cos re) (exp im)))))
#s(approx (* (exp im) (cos re)) #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 (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #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 (- 2 (* re re)) #s(hole binary64 (* -1 (pow re 2))))
#s(approx (- 2 (* re re)) #s(hole binary64 (* (pow re 2) (- (* 2 (/ 1 (pow re 2))) 1))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (cos re)))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* 1/2 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re))))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (* 2 (cos re))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #s(hole binary64 (+ (* 2 (cos re)) (* (pow im 2) (cos re)))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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 (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) #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 (/ (cos re) (exp im)) #s(hole binary64 (cos re)))
#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 (exp im) #s(hole binary64 1))
#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 (neg (* (exp im) (cos re))) #s(hole binary64 (* -1 (cos re))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* -1 (* im (cos re))) (cos re))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* im (- (* -1/2 (* im (cos re))) (cos re))) (cos re))))
#s(approx (neg (* (exp im) (cos re))) #s(hole binary64 (- (* im (- (* im (- (* -1/6 (* im (cos re))) (* 1/2 (cos re)))) (cos re))) (cos re))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (cos re) (* im (cos re)))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (cos re) (* im (+ (cos re) (* 1/2 (* im (cos re))))))))
#s(approx (* (exp im) (cos re)) #s(hole binary64 (+ (cos re) (* im (+ (cos re) (* im (+ (* 1/6 (* im (cos re))) (* 1/2 (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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 (cosh im) #s(hole binary64 1))
#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 (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* 1/2 (- 2 (pow re 2)))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* 1/4 (* (pow im 2) (- 2 (pow re 2)))) (* 1/2 (- 2 (pow re 2))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* 1/2 (- 2 (pow re 2))) (* (pow im 2) (+ (* 1/48 (* (pow im 2) (- 2 (pow re 2)))) (* 1/4 (- 2 (pow re 2))))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (+ (* 1/2 (- 2 (pow re 2))) (* (pow im 2) (+ (* 1/4 (- 2 (pow re 2))) (* (pow im 2) (+ (* 1/1440 (* (pow im 2) (- 2 (pow re 2)))) (* 1/48 (- 2 (pow re 2))))))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 1/2))
#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 (+ (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))
#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 (exp im) #s(hole binary64 (exp im)))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) #s(hole binary64 (* 1/4 (* (+ (exp im) (/ 1 (exp im))) (- 2 (pow re 2))))))
#s(approx (* (cosh im) 1/2) #s(hole binary64 (* 1/4 (+ (exp im) (/ 1 (exp 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 (* (* 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 (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im))) #s(literal -1/2 binary64))
(*.f64 (cosh.f64 im) (cos.f64 re))
(.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im))))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) (cos.f64 re)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im)) #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 (cosh.f64 im) (cos.f64 re)) #s(literal 1 binary64))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) (cosh.f64 im))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.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))))) (fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) (.f64 (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re))) (.f64 (.f64 (neg.f64 (exp.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))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re) (.f64 (neg.f64 (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (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 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 (/.f64 (neg.f64 (cos.f64 re)) (exp.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 re)) (exp.f64 im)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (*.f64 #s(literal -1/2 binary64) (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 (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (fma.f64 (.f64 (neg.f64 (exp.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 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (.f64 (neg.f64 (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 im))) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -4 binary64))
(/.f64 (*.f64 (cosh.f64 im) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (.f64 (cosh.f64 im) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (cosh.f64 im)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 (cosh.f64 im)) (.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 re))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal -8 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 im)))) #s(literal -8 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal -4 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (neg.f64 (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 re)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal 2 binary64))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 im)))) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (neg.f64 (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
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#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 (fma.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 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (neg (* (exp im) (cos re))) (neg.f64 (exp.f64 im)))
#s(approx (neg (* (exp im) (cos re))) (-.f64 (.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) (exp.f64 im)) (exp.f64 im)))
#s(approx (neg (* (exp im) (cos re))) (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64))) re) re) (exp.f64 im)))
#s(approx (neg (* (exp im) (cos re))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (exp.f64 im) (fma.f64 (.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) re) re (.f64 (exp.f64 im) #s(literal 1/2 binary64))) re) re) (exp.f64 im)))
#s(approx (* (exp im) (cos re)) (exp.f64 im))
#s(approx (* (exp im) (cos re)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (exp.f64 im)))
#s(approx (* (exp im) (cos re)) (.f64 (exp.f64 im) (fma.f64 (fma.f64 re re #s(literal -2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 re re) (.f64 #s(literal 1/24 binary64) (*.f64 re re))))))
#s(approx (* (exp im) (cos re)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (exp.f64 im) (.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 im) (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64))) re) re) re) re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (cosh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 re (+.f64 re re)) (cosh.f64 im)) (fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (cosh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (cosh.f64 im) (.f64 (.f64 (.f64 (.f64 (.f64 re (+.f64 re re)) (cosh.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))) re) re)))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (cosh.f64 im))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (cosh.f64 im)))
#s(approx (- 2 (* re re)) #s(literal 2 binary64))
#s(approx (- 2 (* re re)) (-.f64 #s(literal 2 binary64) (*.f64 re re)))
#s(approx (* re re) (*.f64 re re))
(.f64 (neg.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64))))
(.f64 #s(literal 1 binary64) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (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 (* 1/2 (cos re)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) re) re) #s(literal 1/4 binary64)) re) re #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (cosh.f64 im) (cos.f64 re)))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (.f64 (.f64 #s(literal 2 binary64) (cos.f64 re)) (cosh.f64 im)))
#s(approx (/ (cos re) (exp im)) (/.f64 (cos.f64 re) (exp.f64 im)))
#s(approx (cos re) (cos.f64 re))
#s(approx (neg (* (exp im) (cos re))) (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)))
#s(approx (* (exp im) (cos re)) (*.f64 (exp.f64 im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (cosh.f64 im) (cos.f64 re)))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal -1/2 binary64)) re) re))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64))) re) re))
#s(approx (- 2 (* re re)) (*.f64 (neg.f64 re) re))
#s(approx (- 2 (* re re)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 re re)) #s(literal 1 binary64)) re) re))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) (.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 (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (cos.f64 re) (.f64 (.f64 (.f64 im im) im) (.f64 (fma.f64 (cos.f64 re) #s(literal 1/12 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 #s(literal -1/2 binary64) im)))))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (*.f64 (fma.f64 im im #s(literal 2 binary64)) (cos.f64 re)))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (*.f64 (fma.f64 im im #s(literal 2 binary64)) (cos.f64 re)))
#s(approx (- (/ (cos re) (exp im)) (neg (* (exp im) (cos re)))) (fma.f64 (fma.f64 im (.f64 (fma.f64 (cos.f64 re) #s(literal 1/12 binary64) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (neg.f64 im)) (cos.f64 re)) (.f64 im im) (.f64 #s(literal 2 binary64) (cos.f64 re))))
#s(approx (/ (cos re) (exp im)) (cos.f64 re))
#s(approx (/ (cos re) (exp im)) (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) im)))
#s(approx (/ (cos re) (exp im)) (fma.f64 (.f64 (cos.f64 re) (-.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))) im (cos.f64 re)))
#s(approx (/ (cos re) (exp im)) (fma.f64 (-.f64 (.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64))) im) (cos.f64 re)) im (cos.f64 re)))
#s(approx (exp im) #s(literal 1 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 (neg (* (exp im) (cos re))) (neg.f64 (cos.f64 re)))
#s(approx (neg (* (exp im) (cos re))) (*.f64 (neg.f64 (cos.f64 re)) (-.f64 im #s(literal -1 binary64))))
#s(approx (neg (* (exp im) (cos re))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) im #s(literal -1 binary64)) (cos.f64 re)) im) (cos.f64 re)))
#s(approx (neg (* (exp im) (cos re))) (-.f64 (.f64 (.f64 (cos.f64 re) (fma.f64 (*.f64 #s(literal 1/6 binary64) im) im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (neg.f64 im)) (cos.f64 re)))
#s(approx (* (exp im) (cos re)) (cos.f64 re))
#s(approx (* (exp im) (cos re)) (*.f64 (+.f64 #s(literal 1 binary64) im) (cos.f64 re)))
#s(approx (* (exp im) (cos re)) (*.f64 (cos.f64 re) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))
#s(approx (* (exp im) (cos re)) (fma.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 #s(literal 1/6 binary64) im) im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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))) (.f64 (cos.f64 re) (fma.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im) im (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (cos.f64 re) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) im) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) im) im)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #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 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (-.f64 #s(literal 2 binary64) (.f64 re re)) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (fma.f64 (.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64))) im) im (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (fma.f64 (-.f64 #s(literal 2 binary64) (.f64 re re)) (fma.f64 (.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 re re)) (fma.f64 #s(literal 1/1440 binary64) (*.f64 im im) #s(literal 1/48 binary64))) im) im) im) im)))
#s(approx (* (cosh im) 1/2) #s(literal 1/2 binary64))
#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 (.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)) im) im #s(literal 1/2 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 (.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)) im) im #s(literal 2 binary64)))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.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 (exp im) (exp.f64 im))
#s(approx (cosh im) (cosh.f64 im))
#s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (cosh.f64 im)))
#s(approx (* (cosh im) 1/2) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 (cosh.f64 im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval269.0ms (2.9%)

Memory: -28.1MiB live, 397.6MiB allocated; 80ms collecting garbage
Compiler: Compiled 20 510 to 6 383 computations (68.9% saved)

prune38.0ms (0.4%)

Memory

6.8MiB live, 100.3MiB allocated; 6ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 901	7	1 908
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	1 904	10	1 914

Accuracy

100.0%

Counts

1 914 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(.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))))
▶	25.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(literal 1 binary64))))
▶	42.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 im)) (cos.f64 re) (.f64 (exp.f64 im) (cos.f64 re))))
	43.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( (cosh im) 1/2) (fma.f64 (.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 re re))))
✓	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	53.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	29.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
	15.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal -1/2 binary64)) re) re)))
▶	25.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cosh im) #s(literal 1 binary64)))

Compiler

Compiled 292 to 290 computations (0.7% saved)

series12.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

23 → 78

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (neg im) im (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)))
2.0ms	im	@	-inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (neg im) im (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)))
2.0ms	re	@	inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (neg im) im (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)))
2.0ms	re	@	-inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (neg im) im (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)))
1.0ms	re	@	0	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (neg im) im (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)))

rewrite353.0ms (3.8%)

Memory

5.7MiB live, 326.5MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	1770
0	367	1472
1	1157	1235
2	5343	1227
0	8339	1151

Stop Event

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

Counts

101 → 442

Calls

Call 1

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

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

eval115.0ms (1.2%)

Memory: 3.0MiB live, 166.8MiB allocated; 91ms collecting garbage
Compiler: Compiled 5 465 to 1 693 computations (69% saved)

prune23.0ms (0.2%)

Memory

3.7MiB live, 48.9MiB allocated; 12ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	581	6	587
Fresh	1	2	3
Picked	2	3	5
Done	0	2	2
Total	584	13	597

Accuracy

100.0%

Counts

597 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(.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))))
▶	29.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(literal 1 binary64))))
	43.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	24.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx (exp im) #s(literal 1 binary64))))
✓	42.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	32.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 im im))) im) im)))
▶	20.8%	(.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 #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (cos.f64 re) (.f64 (exp.f64 im) (cos.f64 re))))
✓	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	53.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	29.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
	15.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal -1/2 binary64)) re) re)))
✓	25.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cosh im) #s(literal 1 binary64)))

Compiler

Compiled 366 to 364 computations (0.5% saved)

series15.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated; 0ms collecting garbage

Counts

38 → 109

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) (- 1 im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* (- 1 (/ -2 (* im im))) im) im) (* (- 1 (/ -2 (* im im))) im) (- 1 (/ -2 (* im im))) (/ -2 (* im im)) -2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* -1/4 (* re re)) 1/2) -1/4 (* re re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im))
3.0ms	im	@	inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) (- 1 im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* (- 1 (/ -2 (* im im))) im) im) (* (- 1 (/ -2 (* im im))) im) (- 1 (/ -2 (* im im))) (/ -2 (* im im)) -2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* -1/4 (* re re)) 1/2) -1/4 (* re re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im))
2.0ms	im	@	0	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) (- 1 im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* (- 1 (/ -2 (* im im))) im) im) (* (- 1 (/ -2 (* im im))) im) (- 1 (/ -2 (* im im))) (/ -2 (* im im)) -2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* -1/4 (* re re)) 1/2) -1/4 (* re re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im))
2.0ms	re	@	inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) (- 1 im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* (- 1 (/ -2 (* im im))) im) im) (* (- 1 (/ -2 (* im im))) im) (- 1 (/ -2 (* im im))) (/ -2 (* im im)) -2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* -1/4 (* re re)) 1/2) -1/4 (* re re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im))
2.0ms	re	@	-inf	((* 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re)))) 1/2 (+ (* (exp (neg im)) (cos re)) (* (exp im) (cos re))) (exp (neg im)) (+ (* (+ (* im 1/2) -1) im) 1) (+ (* im 1/2) -1) im -1 1 (cos re) re (* (exp im) (cos re)) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2) (* im im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (exp (neg im)) (- 1 im) (exp im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (+ (exp (neg im)) (exp im)) (* (* (- 1 (/ -2 (* im im))) im) im) (* (- 1 (/ -2 (* im im))) im) (- 1 (/ -2 (* im im))) (/ -2 (* im im)) -2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* -1/4 (* re re)) 1/2) -1/4 (* re re) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im))

rewrite1.3s (13.6%)

Memory

-128.7MiB live, 153.8MiB allocated; 1.2s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	2366
0	450	2017
1	1299	1851
2	6161	1793
0	8421	1700

Stop Event

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

Counts

147 → 425

Calls

Call 1

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

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

eval73.0ms (0.8%)

Memory: 4.6MiB live, 49.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 918 to 1 786 computations (54.4% saved)

prune56.0ms (0.6%)

Memory

-29.4MiB live, 26.1MiB allocated; 8ms collecting garbage

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	406	7	413
Fresh	0	3	3
Picked	4	1	5
Done	0	5	5
Total	410	16	426

Accuracy

100.0%

Counts

426 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(.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))))
	43.4%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	8.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* -1/4 (* re re)) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(literal 1 binary64))))
	7.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (+.f64 #s(approx (exp (neg im)) #s(approx (- 1 im) (neg.f64 im))) #s(approx (exp im) #s(literal 1 binary64))))
✓	42.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	32.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) im) (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im) im)))
	14.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (.f64 (.f64 #s(approx (- 1 (/ -2 (* im im))) (/.f64 #s(literal 2 binary64) (*.f64 im im))) im) im)))
	25.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (.f64 #s(approx ( (- 1 (/ -2 (* im im))) im) (/.f64 #s(literal 2 binary64) im)) im)))
✓	20.8%	(.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))))
	28.4%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (sqrt.f64 (.f64 (.f64 im im) (*.f64 im im))))))
	77.7%	(.f64 #s(literal 1/2 binary64) (fma.f64 #s(approx (exp (neg im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))) (cos.f64 re) (.f64 #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))) (cos.f64 re))))
✓	58.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	53.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	29.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
	15.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* (cosh im) 1/2) (- 2 (* re re))) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal -1/2 binary64)) re) re)))
✓	25.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cosh im) #s(literal 1 binary64)))

Compiler

Compiled 509 to 431 computations (15.3% saved)

regimes69.0ms (0.7%)

Memory

8.8MiB live, 54.8MiB allocated; 3ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

33.0ms	(cos.f64 re)
8.0ms	re
7.0ms	im
7.0ms	(*.f64 #s(literal 1/2 binary64) (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
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 23 to 28 computations (-21.7% saved)

regimes42.0ms (0.4%)

Memory

20.1MiB live, 63.5MiB allocated; 6ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(.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	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(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 23 to 28 computations (-21.7% saved)

regimes42.0ms (0.4%)

Memory

-34.1MiB live, 60.7MiB allocated; 12ms collecting garbage

Counts

22 → 3

Calls

Call 1

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

(*.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))) (cosh.f64 im))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
86.3%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
87.7%	2	`(cos.f64 re)`
87.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
87.7%	2	`re`
94.6%	3	`im`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes6.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 10 to 10 computations (0% saved)

regimes33.0ms (0.3%)

Memory

32.5MiB live, 79.0MiB allocated; 2ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

6.0ms	re
5.0ms	im
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
58.0%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
72.2%	2	`(cos.f64 re)`
72.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
60.7%	2	`re`
58.0%	1	`im`
72.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes14.0ms (0.1%)

Memory

-16.8MiB live, 30.0MiB allocated; 2ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.6%	2	`(cos.f64 re)`
69.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes10.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

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
65.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
65.5%	2	`(cos.f64 re)`
65.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes16.0ms (0.2%)

Memory

-17.7MiB live, 27.7MiB allocated; 2ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	re
2.0ms	im
2.0ms	(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
46.3%	3	`im`
42.8%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
45.3%	2	`re`
50.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
50.3%	2	`(cos.f64 re)`
50.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(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
50.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
38.9%	3	`(cos.f64 re)`
38.9%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

4 calls:

2.0ms	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	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
42.8%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
42.8%	2	`im`
31.5%	2	`re`
42.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes9.0ms (0.1%)

Memory

-36.5MiB live, 14.5MiB allocated; 5ms 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 (cosh im) #s(literal 1 binary64)))

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

Calls

6 calls:

4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	im
1.0ms	re
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
25.2%	1	`re`
25.2%	1	`(cos.f64 re)`
25.2%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
25.2%	1	`im`
25.2%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
25.2%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999999	1.0
0.0ms	-inf	-0.9999955448811666

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999999	1.0
0.0ms	-inf	-0.9999955448811666

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06572197579450333	0.010293392504687119

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03286098789725166	0.005146696252343559

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03286098789725166	0.005146696252343559

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03286098789725166	0.005146696252343559

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	-0.06572197579450333	0.010293392504687119

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf

Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations1.7s (17.7%)

Memory

52.9MiB live, 645.1MiB allocated; 162ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 138 to 82 computations (40.6% saved)

preprocess301.0ms (3.2%)

Memory

-11.3MiB live, 126.4MiB allocated; 19ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 1 772 to 1 410 computations (20.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (17.6%)

preprocess574.0ms (6.1%)

series8.0ms (0.1%)

rewrite1.4s (15.2%)

eval380.0ms (4.1%)

prune103.0ms (1.1%)

series90.0ms (1%)

rewrite688.0ms (7.4%)

eval269.0ms (2.9%)

prune38.0ms (0.4%)

series12.0ms (0.1%)

rewrite353.0ms (3.8%)

eval115.0ms (1.2%)

prune23.0ms (0.2%)

series15.0ms (0.2%)

rewrite1.3s (13.6%)

eval73.0ms (0.8%)

prune56.0ms (0.6%)

regimes69.0ms (0.7%)

regimes42.0ms (0.4%)

regimes42.0ms (0.4%)

regimes6.0ms (0.1%)

regimes33.0ms (0.3%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations1.7s (17.7%)

preprocess301.0ms (3.2%)

end0.0ms (0%)

Profiling