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

0.7MiB live, 0.7MiB 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)

sample1.1s (37.7%)

Memory

-0.3MiB live, 1 520.1MiB allocated; 202ms collecting garbage

Samples

830.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 613.0ms

ival-cos: 294.0ms (48% of total)

ival-exp: 145.0ms (23.7% of total)

ival-mult!: 97.0ms (15.8% of total)

ival-neg: 57.0ms (9.3% of total)

ival-add!: 19.0ms (3.1% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess40.0ms (1.4%)

Memory

-23.7MiB live, 22.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	112	66
2	320	66
3	1222	38
4	7324	38

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 (0.3%)

Memory

21.3MiB live, 21.3MiB 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	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	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	@	-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))

rewrite169.0ms (5.9%)

Memory

-10.1MiB live, 283.4MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	681
0	178	612
1	1019	550
0	8541	512

Stop Event

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

Counts

50 → 132

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

eval12.0ms (0.4%)

Memory: 27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 181 to 474 computations (59.9% saved)

prune7.0ms (0.3%)

Memory

-33.3MiB live, 12.9MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Accuracy

100.0%

Counts

121 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (cos.f64 re))
▶	78.7%	(.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))))
	90.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
▶	58.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	65.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
▶	54.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Compiler

Compiled 194 to 186 computations (4.1% saved)

series19.0ms (0.7%)

Memory

-5.3MiB live, 41.4MiB allocated; 2ms collecting garbage

Counts

21 → 70

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	im	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms	im	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms	re	@	0	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms	re	@	inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms	re	@	-inf	((* (* 1 (cosh im)) (cos re)) (* 1 (cosh im)) 1 (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))

rewrite162.0ms (5.7%)

Memory

18.2MiB live, 250.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	1559
0	273	1344
1	1531	1344
0	8222	1288

Stop Event

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

Counts

91 → 303

Calls

Call 1

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

Outputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) (cos.f64 re)))
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
im
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#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 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.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 #s(literal 2 binary64) (.f64 (cosh.f64 im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
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#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal -1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal -1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal -1 binary64)) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval37.0ms (1.3%)

Memory: 14.5MiB live, 68.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 816 to 1 153 computations (69.8% saved)

prune21.0ms (0.7%)

Memory

-15.7MiB live, 31.2MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	294	10	304
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	297	14	311

Accuracy

100.0%

Counts

311 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
✓	78.7%	(.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))))
▶	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	47.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	49.5%	(.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))))
	90.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
	11.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	65.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	54.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
▶	58.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (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))))
▶	30.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
	35.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
▶	40.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
	31.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))

Compiler

Compiled 435 to 413 computations (5.1% saved)

series15.0ms (0.5%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

26 → 74

Calls

Call 1

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

Outputs
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 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 (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* 1/24 (* re re)) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (cosh im) (cos re)) #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 im #s(hole binary64 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 (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (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 (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1 (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 (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (* 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
5.0ms	re	@	inf	((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) (* re re))
2.0ms	im	@	inf	((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) (* re re))
2.0ms	im	@	-inf	((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) (* re re))
2.0ms	re	@	-inf	((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) (* re re))
1.0ms	re	@	0	((* (cosh im) (cos re)) (cosh im) im (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) 1/2 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (- (* 1/24 (* re re)) 1/2) (* 1/24 (* re re)) (* re re))

rewrite189.0ms (6.6%)

Memory

-37.1MiB live, 151.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1582
0	280	1424
1	1488	1424
0	8329	1354

Stop Event

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

Counts

100 → 264

Calls

Call 1

Inputs
(*.f64 (cosh.f64 im) (cos.f64 re))
(cosh.f64 im)
im
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
#s(approx (* 1 (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(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)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (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 (* 1 (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)))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
#s(literal 1/24 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 re re))
(*.f64 re re)
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* 1/48 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (* 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 (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* 1/24 (* re re)) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (cos re)))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (cosh im) (cos re)) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (cosh im) (cos re)) #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 im #s(hole binary64 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 (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (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 (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 1 (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 (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (* (* 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 (cosh.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
im
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 #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)))
(.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(literal 1/2 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 im im))))
(/.f64 (neg.f64 (fma.f64 (.f64 im im) (.f64 im im) #s(literal -4 binary64))) (neg.f64 (fma.f64 im im #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) (.f64 im im) (.f64 #s(literal -2 binary64) (*.f64 im im))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 2 binary64) (.f64 im im)))
(/.f64 (fma.f64 (.f64 im im) (.f64 im im) #s(literal -4 binary64)) (fma.f64 im im #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im))) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) (.f64 im im) (.f64 #s(literal -2 binary64) (*.f64 im im)))))
(/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im) #s(literal 8 binary64)) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64)))))
(fma.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 (fabs.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (.f64 #s(literal 1 binary64) (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 im im) #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 im im #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 im im))) (/.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(-.f64 (/.f64 (.f64 (.f64 im im) (*.f64 im im)) (fma.f64 im im #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 im im #s(literal -2 binary64))))
(-.f64 (*.f64 im im) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 im) im))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) (.f64 im im) (.f64 #s(literal -2 binary64) (.f64 im im))))) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) (+.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) (.f64 im im) (.f64 #s(literal -2 binary64) (*.f64 im im))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2 binary64))))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (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 (* 1 (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)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (neg.f64 im) im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 im) im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 re re) #s(literal 1/24 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/4 binary64)) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 re re) #s(literal 1/24 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) re) re #s(literal -1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re))) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 re re) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) (.f64 re re)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 1/24 binary64) re) re)
(.f64 (.f64 re re) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 re re))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
#s(approx (* (cosh im) (cos re)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) (cos re)) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (cosh im) (cos re)) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (cosh im) (cos re)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/48 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #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 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.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)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/48 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (- (* 1/24 (* re re)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/24 (* re re)) 1/2) (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
#s(approx (* 1/24 (* re re)) (.f64 (.f64 re re) #s(literal 1/24 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (cosh im) (cos re)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/24 binary64)))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (.f64 (.f64 re re) (*.f64 re re))))
#s(approx (+ (* (- (* 1/24 (* re re)) 1/2) (* re re)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re re))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (.f64 re re) (.f64 re re))))
#s(approx (- (* 1/24 (* re re)) 1/2) (.f64 (.f64 re re) #s(literal 1/24 binary64)))
#s(approx (- (* 1/24 (* re re)) 1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (*.f64 re re)))
#s(approx (* (cosh im) (cos re)) (cos.f64 re))
#s(approx (* (cosh im) (cos re)) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (cosh im) (cos re)) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (cosh im) (cos re)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (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 (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (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 (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (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 (+ (* (* im im) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* im im) 1/24) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* 1 (cosh im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#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) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal -1 binary64)) (*.f64 im im)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (.f64 im im))))
#s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (*.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))

eval25.0ms (0.9%)

Memory: 39.4MiB live, 39.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 677 to 1 104 computations (58.8% saved)

prune30.0ms (1.1%)

Memory

-26.4MiB live, 20.0MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	224	7	231
Fresh	2	5	7
Picked	2	3	5
Done	0	2	2
Total	228	17	245

Accuracy

100.0%

Counts

245 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
✓	78.7%	(.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))))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	58.5%	(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
▶	47.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	49.5%	(.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))))
	34.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal -1 binary64)) (*.f64 im im)))))
▶	22.2%	(.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))))
	90.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
▶	65.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	54.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	58.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	30.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
✓	30.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
▶	40.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	31.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (- (* 1/24 (* re re)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))

Compiler

Compiled 521 to 495 computations (5% saved)

series16.0ms (0.6%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

32 → 90

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (* -1/4 (exp (neg im)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (exp (neg im))))))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (exp im)) (* -1/1440 (exp (neg im)))))))))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (exp (neg im)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp (neg im)))) (* 1/2 (exp (neg im))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* 1/48 (* (pow re 2) (exp (neg im)))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp (neg im)))) (* 1/48 (exp (neg 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 (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (neg 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 (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* -1/12 (cos re)) (* 1/12 (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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* 1/4 (* im (cos re))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/12 (* im (cos re))) (* 1/4 (cos re)))))))))
#s(approx (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 (* (* 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 (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 im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg 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 (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (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
3.0ms	im	@	inf	((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg 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))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (+ (* (* re re) 1/24) -1/2) (* re re) 1/24 -1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) -1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
3.0ms	re	@	inf	((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg 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))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (+ (* (* re re) 1/24) -1/2) (* re re) 1/24 -1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) -1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
3.0ms	im	@	-inf	((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg 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))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (+ (* (* re re) 1/24) -1/2) (* re re) 1/24 -1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) -1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
3.0ms	re	@	-inf	((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg 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))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (+ (* (* re re) 1/24) -1/2) (* re re) 1/24 -1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) -1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
2.0ms	re	@	0	((+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) (* (cos re) 1/2) (cos re) re 1/2 (exp im) im (* (* (cos re) 1/2) (exp (neg im))) (exp (neg im)) (neg 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))) (cosh im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (+ (* (* re re) 1/24) -1/2) (* re re) 1/24 -1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) -1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)

rewrite202.0ms (7.1%)

Memory

4.8MiB live, 287.7MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	1942
0	393	1703
1	2206	1703
0	8157	1635

Stop Event

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

Counts

122 → 271

Calls

Call 1

Inputs
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 im)
im
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(exp.f64 (neg.f64 im))
(neg.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)
#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))) #s(approx (cos re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(*.f64 re re)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 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)
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (* -1/4 (exp (neg im)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (* 1/48 (exp (neg im))))))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp im)) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* 1/48 (exp im)) (+ (* 1/48 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (exp im)) (* -1/1440 (exp (neg im)))))))))))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (exp (neg im)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (exp (neg im)))) (* 1/2 (exp (neg im))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* 1/48 (* (pow re 2) (exp (neg im)))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/4 (exp (neg im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (exp (neg im)))) (* 1/48 (exp (neg 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 (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (- (* 1/24 (pow re 2)) 1/2)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (neg im)))))))
#s(approx (* (cos re) 1/2) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (cos re) (exp (neg 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 (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (* 1/24 (pow re 4))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(hole binary64 (* (pow re 4) (- (+ 1/24 (/ 1 (pow re 4))) (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* 1/24 (pow re 2))))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(hole binary64 (* (pow re 2) (- 1/24 (* 1/2 (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (cos re)))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (* 1/2 (cos re)))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* 1/2 (* im (cos re)))))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (cos re) (* im (+ (* -1/2 (cos re)) (+ (* 1/2 (cos re)) (* im (+ (* 1/2 (cos re)) (* im (+ (* -1/12 (cos re)) (* 1/12 (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 (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* -1/2 (* im (cos re))) (* 1/2 (cos re)))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* 1/4 (* im (cos re))))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (+ (* 1/2 (cos re)) (* im (+ (* -1/2 (cos re)) (* im (+ (* -1/12 (* im (cos re))) (* 1/4 (cos re)))))))))
#s(approx (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 (* (* 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 (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 im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg 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 (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (* (cos re) 1/2) (exp im)) (* (* (cos re) 1/2) (exp (neg im)))) #s(hole binary64 (+ (* 1/2 (* (cos re) (exp im))) (* 1/2 (* (cos re) (exp (* -1 im)))))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) #s(hole binary64 (* 1/2 (* (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 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (cos.f64 re)))
(/.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64))) (-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))))))
(fma.f64 (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (exp.f64 im) (cos.f64 re)) #s(literal 1/2 binary64) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) (.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (cos.f64 re)) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))
(-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 im))))
(-.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re))))
(+.f64 (/.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))))))
(+.f64 (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(literal 1/2 binary64)
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (cosh.f64 im) (sinh.f64 im)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
im
(.f64 (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (exp.f64 (neg.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))
(.f64 (cos.f64 re) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (cos.f64 re)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 #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) (pow.f64 (exp.f64 im) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 (neg.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 im)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
(.f64 #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)))
(.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 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
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#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (fma.f64 (.f64 (.f64 re re) (exp.f64 (neg.f64 im))) #s(literal -1/4 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (fma.f64 (fma.f64 (.f64 (.f64 re re) (exp.f64 (neg.f64 im))) #s(literal 1/48 binary64) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 im)))) (.f64 re re) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 re re) (exp.f64 (neg.f64 im))) #s(literal -1/1440 binary64) (.f64 #s(literal 1/48 binary64) (exp.f64 (neg.f64 im)))) (.f64 re re) (.f64 #s(literal -1/4 binary64) (exp.f64 (neg.f64 im)))) (.f64 re re) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 re re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1/4 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 re re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 re re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1/1440 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/48 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.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 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (* re re) 1/24) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (* re re) 1/24) -1/2) (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (.f64 (.f64 re re) (*.f64 re re))))
#s(approx (+ (* (+ (* (* re re) 1/24) -1/2) (* re re)) 1) (.f64 (+.f64 #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re re))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 (.f64 re re) (.f64 re re))))
#s(approx (+ (* (* re re) 1/24) -1/2) (.f64 (.f64 re re) #s(literal 1/24 binary64)))
#s(approx (+ (* (* re re) 1/24) -1/2) (.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (*.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) im (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 im (fma.f64 (cos.f64 re) #s(literal 0 binary64) (.f64 (.f64 (cos.f64 re) im) #s(literal 1/2 binary64))) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 im (fma.f64 (cos.f64 re) #s(literal 0 binary64) (.f64 (fma.f64 (.f64 (cos.f64 re) #s(literal 0 binary64)) im (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) 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 (* (* (cos re) 1/2) (exp (neg im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (fma.f64 (.f64 (cos.f64 re) im) #s(literal -1/2 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (cos.f64 re) im) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 (cos.f64 re) #s(literal -1/2 binary64) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 (cos.f64 re) im) (.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) im)))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 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 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* im im) (*.f64 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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.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) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (cosh im) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (* (cos re) 1/2) (exp (neg im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))

eval40.0ms (1.4%)

Memory: 7.3MiB live, 98.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 2 745 to 1 073 computations (60.9% saved)

prune16.0ms (0.6%)

Memory

-11.2MiB live, 35.4MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	239	2	241
Fresh	0	7	7
Picked	1	4	5
Done	0	5	5
Total	240	18	258

Accuracy

100.0%

Counts

258 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
✓	78.7%	(.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))))
✓	100.0%	(*.f64 (cosh.f64 im) (cos.f64 re))
	58.5%	(.f64 (cosh.f64 im) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))))
	47.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	9.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	49.5%	(.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))))
	34.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal -1 binary64)) (*.f64 im im)))))
✓	22.2%	(.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))))
	90.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (cos.f64 re)))
✓	65.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	54.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	58.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	30.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
✓	30.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
✓	40.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	31.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(approx (- (* 1/24 (* re re)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))

Compiler

Compiled 529 to 431 computations (18.5% saved)

regimes57.0ms (2%)

Memory

-5.9MiB live, 89.4MiB allocated; 24ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

6 calls:

20.0ms	re
10.0ms	(cos.f64 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)

regimes38.0ms (1.3%)

Memory

29.4MiB live, 75.1MiB allocated; 4ms collecting garbage

Counts

22 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
88.8%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
87.9%	2	`(cos.f64 re)`
87.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
87.9%	2	`re`
94.2%	3	`im`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes9.0ms (0.3%)

Memory

-31.8MiB live, 13.9MiB allocated; 4ms collecting garbage

Counts

21 → 3

Calls

Call 1

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

Outputs

(*.f64 (cosh.f64 im) #s(approx (cos 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))) (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
99.2%	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)

regimes40.0ms (1.4%)

Memory

26.7MiB live, 73.6MiB allocated; 11ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs
(.f64 (cosh.f64 im) #s(approx (cos 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

6 calls:

14.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	re
5.0ms	im
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
65.3%	1	`re`
76.1%	2	`(cos.f64 re)`
76.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
65.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
65.3%	1	`im`
76.1%	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)

regimes16.0ms (0.6%)

Memory

-16.2MiB live, 29.5MiB allocated; 5ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 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:

7.0ms	(.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
73.9%	2	`(cos.f64 re)`
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	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)

regimes8.0ms (0.3%)

Memory

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

Counts

8 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos 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	(cos.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
69.8%	2	`(cos.f64 re)`
69.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.8%	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)

regimes15.0ms (0.5%)

Memory

-4.2MiB live, 41.4MiB allocated; 4ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

5.0ms	(*.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
49.5%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
49.5%	1	`im`
49.5%	1	`re`
54.0%	2	`(cos.f64 re)`
54.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
54.0%	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)

regimes7.0ms (0.2%)

Memory

-25.2MiB live, 22.1MiB allocated; 1ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
54.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
40.5%	3	`(cos.f64 re)`
40.5%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes5.0ms (0.2%)

Memory

19.7MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

Outputs

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

1.0ms	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
49.5%	2	`im`
49.5%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
36.5%	2	`re`
49.5%	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)

regimes6.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	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 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
30.6%	1	`re`
30.6%	1	`(cos.f64 re)`
30.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
30.6%	1	`im`
30.6%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
30.6%	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)

bsearch52.0ms (1.8%)

Memory

-63.2MiB live, 2.0MiB allocated; 69ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999948329711	1.0
0.0ms	-inf	-0.997901727751483

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999948329711	1.0
0.0ms	-inf	-0.997901727751483

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04386983941587233	0.016162644411977903

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04386983941587233	0.016162644411977903

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	-0.04386983941587233	0.016162644411977903

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.021934919707936165	0.008081322205988952

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0373647008137517	5.267667170516502
0.0ms	-0.04386983941587233	0.016162644411977903

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	1.0373647008137517	5.267667170516502

Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations348.0ms (12.2%)

Memory

12.0MiB live, 335.1MiB allocated; 32ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 114 to 75 computations (34.2% saved)

preprocess164.0ms (5.7%)

Memory

24.6MiB live, 254.9MiB allocated; 55ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 1 516 to 1 241 computations (18.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (37.7%)

preprocess40.0ms (1.4%)

series8.0ms (0.3%)

rewrite169.0ms (5.9%)

eval12.0ms (0.4%)

prune7.0ms (0.3%)

series19.0ms (0.7%)

rewrite162.0ms (5.7%)

eval37.0ms (1.3%)

prune21.0ms (0.7%)

series15.0ms (0.5%)

rewrite189.0ms (6.6%)

eval25.0ms (0.9%)

prune30.0ms (1.1%)

series16.0ms (0.6%)

rewrite202.0ms (7.1%)

eval40.0ms (1.4%)

prune16.0ms (0.6%)

regimes57.0ms (2%)

regimes38.0ms (1.3%)

regimes9.0ms (0.3%)

regimes40.0ms (1.4%)

regimes16.0ms (0.6%)

regimes8.0ms (0.3%)

regimes15.0ms (0.5%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch52.0ms (1.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations348.0ms (12.2%)

preprocess164.0ms (5.7%)

end0.0ms (0%)

Profiling