Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (33.2%)

Memory

36.2MiB live, 1 690.2MiB allocated; 299ms collecting garbage

Samples

916.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 642.0ms

ival-cos: 328.0ms (51.1% of total)

ival-exp: 165.0ms (25.7% of total)

ival-mult!: 87.0ms (13.5% of total)

ival-neg: 39.0ms (6.1% of total)

ival-add!: 22.0ms (3.4% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess49.0ms (1.4%)

Memory

-16.9MiB live, 61.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	112	54
2	363	44
3	1989	34

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs re)

(abs im)

Compiler

Compiled 20 to 20 computations (0% saved)

series9.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB 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
2.0ms	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))

rewrite199.0ms (5.7%)

Memory

4.0MiB live, 233.0MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	681
0	178	612
1	1020	585
0	8581	549

Stop Event

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

Counts

50 → 138

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

eval12.0ms (0.3%)

Memory: 29.5MiB live, 29.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 268 to 477 computations (62.4% saved)

prune66.0ms (1.9%)

Memory

-58.1MiB live, 10.5MiB allocated; 114ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	3	127

Accuracy

100.0%

Counts

127 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	#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))))
▶	65.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
▶	49.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Status

Accuracy

Program

▶

65.3%

#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))))

▶

65.4%

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

▶

49.3%

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

Compiler

Compiled 47 to 47 computations (0% saved)

series14.0ms (0.4%)

Memory

31.5MiB live, 31.5MiB allocated; 0ms collecting garbage

Counts

16 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) 2 (* (cosh im) 1/2) (cosh im) im 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) 2 (* (cosh im) 1/2) (cosh im) im 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
3.0ms	re	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) 2 (* (cosh im) 1/2) (cosh im) im 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) 2 (* (cosh im) 1/2) (cosh im) im 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
1.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) 2 (* (cosh im) 1/2) (cosh im) im 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)

rewrite177.0ms (5%)

Memory

18.1MiB live, 247.4MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	1138
0	229	1021
1	1354	1021
0	8281	974

Stop Event

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

Counts

67 → 244

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))) (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))))
(fma.f64 (cosh.f64 im) #s(literal 1/2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 im) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal -1/2 binary64) (exp.f64 (neg.f64 im))))
(-.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(-.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cosh.f64 im)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (cosh.f64 im)))
(+.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (cosh.f64 im) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(.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))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (pow.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 re re))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64)))))))
(/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64))))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
(-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 re #s(literal -1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/16 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64)))))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/4 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/48 binary64))) (.f64 re re))) (*.f64 re re))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.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 (+ (* (* 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 (* re re) (*.f64 re re))
#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 (cos re) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (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 (* 2 (* (cosh im) 1/2)) #s(literal 1 binary64))
#s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 2 (* (cosh im) 1/2)) (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 (* 2 (* (cosh im) 1/2)) (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 (* (cosh im) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cosh im) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) (.f64 im im) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 im im) #s(literal 1/48 binary64)) (.f64 im im) #s(literal 1/4 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
#s(approx (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 im im)
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (-.f64 (fma.f64 (.f64 #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 (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh 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 (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (* (cosh im) 1/2)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (cosh im) 1/2) (.f64 #s(literal 1/4 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#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))))

eval62.0ms (1.8%)

Memory: -36.3MiB live, 55.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 401 to 1 053 computations (69% saved)

prune10.0ms (0.3%)

Memory

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

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	232	8	240
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	233	10	243

Accuracy

100.0%

Counts

243 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
▶	52.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	65.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
✓	49.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
▶	57.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	47.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	27.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(literal 1 binary64)))
▶	36.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #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))))
	32.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	30.4%	#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 358 to 344 computations (3.9% saved)

series25.0ms (0.7%)

Memory

-31.1MiB live, 26.1MiB allocated; 8ms collecting garbage

Counts

30 → 78

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* im im) 2) 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 -1/2)
3.0ms	im	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* im im) 2) 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 -1/2)
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* im im) 2) 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 -1/2)
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* im im) 2) 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 -1/2)
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (+ (* im im) 2) 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (+ (* -1/720 (* re re)) 1/24) -1/720 -1/2)

rewrite167.0ms (4.7%)

Memory

24.0MiB live, 206.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	1907
0	311	1748
1	1671	1748
0	8096	1714

Stop Event

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

Counts

108 → 282

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (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 (* 2 (* (cosh im) 1/2)) (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) (.f64 (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.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) (fma.f64 (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.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 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
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(/.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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(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) 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) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.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 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
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(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.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)) (+.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 #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 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) #s(literal 1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
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(/.f64 (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 im im) #s(literal 1/24 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
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(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
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#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#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 (* re re) (*.f64 re re))
#s(approx re re)
#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 (.f64 (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -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 (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) re) re) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* -1/720 (* re re)) 1/24) (fma.f64 (*.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
#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 (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) (-.f64 (-.f64 (+.f64 (pow.f64 re #s(literal -6 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 re re))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (.f64 re re))))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 re re)) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 (.f64 re re) (.f64 re re))))
#s(approx (+ (* -1/720 (* re re)) 1/24) (.f64 (.f64 re re) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* re re)) 1/24) (.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/720 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 (.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 (.f64 im im) #s(literal 1/720 binary64)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* 2 (* (cosh im) 1/2)) #s(literal 1 binary64))
#s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 2 (* (cosh im) 1/2)) (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 (* 2 (* (cosh im) 1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 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 im im)
#s(approx (+ (* (* im im) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 #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 (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh 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 (* 2 (cosh 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 (* 2 (* (cosh im) 1/2)) (.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#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 (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (* im im) 1/2) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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 (* 2 (cosh 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))))

eval122.0ms (3.5%)

Memory: -11.7MiB live, 78.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 3 920 to 1 465 computations (62.6% saved)

prune15.0ms (0.4%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	270	12	282
Fresh	2	1	3
Picked	3	2	5
Done	0	2	2
Total	275	17	292

Accuracy

100.0%

Counts

292 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	52.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	13.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	29.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	65.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
✓	49.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
▶	57.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
✓	47.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	57.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
▶	35.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
	32.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
▶	23.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64)))))
✓	27.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(literal 1 binary64)))
	32.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	36.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64))))
	30.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) #s(literal -1/720 binary64)))))

Compiler

Compiled 713 to 685 computations (3.9% saved)

series28.0ms (0.8%)

Memory

-6.2MiB live, 38.6MiB allocated; 5ms collecting garbage

Counts

34 → 78

Calls

Call 1

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

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 (* (* 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) -1/4) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 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 (* (* 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)) (+ (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) 1/2)) #s(hole binary64 1))
#s(approx (* 2 (* (cosh im) 1/2)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 2 (* (cosh im) 1/2)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 2 (* (cosh im) 1/2)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (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) im) #s(hole binary64 (* 1/2 im)))
#s(approx (* (+ (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* im (+ 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 im #s(hole binary64 im))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* im im) 1/2) #s(hole binary64 (* 1/2 (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) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 (pow im 2))) (pow im 2))))
#s(approx (/ 1 (* im im)) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#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 (* 2 (* (cosh im) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#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) im) #s(hole binary64 (* 1/24 (pow im 3))))
#s(approx (* (+ (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 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 (+ (* (* im im) 1/2) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 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 (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (+ 1/2 (/ 1 (pow im 2)))))
#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 (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (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)))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* 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))) (* 2 (* (cosh im) 1/2)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) (* re re) re -1/4)
4.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* 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))) (* 2 (* (cosh im) 1/2)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) (* re re) re -1/4)
2.0ms	im	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* 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))) (* 2 (* (cosh im) 1/2)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) (* re re) re -1/4)
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* 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))) (* 2 (* (cosh im) 1/2)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) (* re re) re -1/4)
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* (+ (* (* im im) 1/24) 1/2) im) im) 1) (* (+ (* (* im im) 1/24) 1/2) im) (+ (* (* im im) 1/24) 1/2) (* im im) im 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (* im im) 1/2) 1) (* (* im im) 1/2) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 2 (* (cosh im) 1/2)) (+ (* (+ (* (* 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))) (* 2 (* (cosh im) 1/2)) (* (+ (/ 1 (* im im)) 1/2) (* im im)) (+ (/ 1 (* im im)) 1/2) (/ 1 (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) (* re re) re -1/4)

rewrite288.0ms (8.2%)

Memory

-6.7MiB live, 290.1MiB allocated; 127ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1936
0	294	1751
1	1471	1743
0	8220	1656

Stop Event

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

Counts

112 → 348

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64)))))
#s(approx (* 2 (* (cosh im) 1/2)) #s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
(.f64 (.f64 im im) #s(literal 1/24 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))))
#s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/2 binary64)) (*.f64 im im))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#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) -1/4) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 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 (* (* 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)) (+ (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) 1/2)) #s(hole binary64 1))
#s(approx (* 2 (* (cosh im) 1/2)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 2 (* (cosh im) 1/2)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 2 (* (cosh im) 1/2)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (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) im) #s(hole binary64 (* 1/2 im)))
#s(approx (* (+ (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* im (+ 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 im #s(hole binary64 im))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* (* im im) 1/2) #s(hole binary64 (* 1/2 (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) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 1))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (/ (+ 1 (* 1/2 (pow im 2))) (pow im 2))))
#s(approx (/ 1 (* im im)) #s(hole binary64 (/ 1 (pow im 2))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/4 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/4 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/4 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#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 (* 2 (* (cosh im) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#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) im) #s(hole binary64 (* 1/24 (pow im 3))))
#s(approx (* (+ (* (* im im) 1/24) 1/2) im) #s(hole binary64 (* (pow im 3) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(hole binary64 (* 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 (+ (* (* im im) 1/2) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (* im im) 1/2) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 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 (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (* (+ (/ 1 (* im im)) 1/2) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1 (* im im)) 1/2) #s(hole binary64 (+ 1/2 (/ 1 (pow im 2)))))
#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 (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (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)))))))

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

eval42.0ms (1.2%)

Memory: 9.9MiB live, 100.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 463 to 1 981 computations (55.6% saved)

prune29.0ms (0.8%)

Memory

5.3MiB live, 61.5MiB allocated; 9ms collecting garbage

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	369	9	378
Fresh	0	8	8
Picked	2	3	5
Done	0	4	4
Total	371	24	395

Accuracy

100.0%

Counts

395 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	14.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	52.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	13.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	29.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	6.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(literal 2 binary64)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
✓	65.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 1/2 binary64))))
✓	49.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
✓	57.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
✓	47.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	57.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
	57.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 #s(approx (* (+ (* (* im im) 1/24) 1/2) im) (.f64 (.f64 (*.f64 im im) im) #s(literal 1/24 binary64))) im #s(literal 1 binary64))))
	35.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64)) (.f64 im im))))
	35.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) im) im) #s(literal 1/2 binary64)) (.f64 im im))))
	33.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 im im))))
	33.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (+.f64 (exp.f64 (.f64 (log.f64 im) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 im im))))
	35.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64)) im) im)))
	14.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (.f64 #s(approx (+ (/ 1 ( im im)) 1/2) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 im im))))
	32.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))))
	23.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(approx (+ (* (* im im) 1/2) 1) (.f64 im (.f64 im #s(literal 1/2 binary64))))))
✓	27.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) #s(literal 1 binary64)))
	32.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* re re)) 1/24) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	36.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) re) re #s(literal 1 binary64))))
	30.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	12.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* (+ (* (+ (* -1/720 (* re re)) 1/24) (* re re)) -1/2) (* re re)) 1) (.f64 (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re)) #s(literal -1/720 binary64)))))

Compiler

Compiled 844 to 746 computations (11.6% saved)

regimes89.0ms (2.5%)

Memory

-18.6MiB live, 114.9MiB allocated; 20ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

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

Calls

6 calls:

41.0ms	(cos.f64 re)
11.0ms	im
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

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

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes65.0ms (1.8%)

Memory

15.4MiB live, 66.3MiB allocated; 17ms collecting garbage

Counts

32 → 3

Calls

Call 1

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

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

Outputs

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

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

Calls

6 calls:

25.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms	re
9.0ms	im
8.0ms	(cos.f64 re)
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
88.3%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
80.0%	2	`(cos.f64 re)`
80.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
76.6%	2	`re`
91.8%	3	`im`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes46.0ms (1.3%)

Memory

-20.4MiB live, 68.3MiB allocated; 12ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

12.0ms	im
11.0ms	(cos.f64 re)
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
79.1%	2	`(cos.f64 re)`
79.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
65.4%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
70.5%	2	`im`
79.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes19.0ms (0.5%)

Memory

37.4MiB live, 37.4MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(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
77.3%	2	`(cos.f64 re)`
77.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.3%	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)

regimes71.0ms (2%)

Memory

-41.2MiB live, 57.9MiB allocated; 64ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

46.0ms	im
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	re
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
60.5%	2	`im`
63.7%	3	`re`
69.2%	2	`(cos.f64 re)`
69.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 18 to 22 computations (-22.2% saved)

regimes15.0ms (0.4%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.2%	2	`(cos.f64 re)`
69.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.2%	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 (0.4%)

Memory

-29.2MiB live, 21.2MiB allocated; 8ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(cos.f64 re)
4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
69.0%	2	`(cos.f64 re)`
69.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.0%	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)

regimes13.0ms (0.4%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
62.6%	2	`(cos.f64 re)`
62.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 21 to 24 computations (-14.3% saved)

regimes15.0ms (0.4%)

Memory

-22.2MiB live, 23.6MiB allocated; 4ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms	re
3.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
47.7%	1	`re`
62.6%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
54.7%	3	`(cos.f64 re)`
54.7%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 17 to 20 computations (-17.6% saved)

regimes12.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.0%	2	`(cos.f64 re)`
53.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
47.7%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
47.7%	1	`im`
53.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes6.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
36.7%	3	`(cos.f64 re)`
36.7%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes25.0ms (0.7%)

Memory

-35.3MiB live, 11.1MiB allocated; 4ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

21.0ms	im
1.0ms	re
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
47.7%	2	`im`
47.7%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
31.3%	2	`re`
47.8%	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

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
27.7%	1	`re`
27.7%	1	`(cos.f64 re)`
27.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
27.7%	1	`im`
27.7%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
27.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999646881631025	1.0
0.0ms	-inf	-0.999443565544459

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04585476908520013	0.020067768040765068

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	-0.04585476908520013	0.020067768040765068

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	-0.04585476908520013	0.020067768040765068

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	-0.04585476908520013	0.020067768040765068

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	-0.09625164768793619	-0.06709525444143388

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.008809454408921209	0.00012796673673033532

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	136520.79236830756
0.0ms	-0.04585476908520013	0.020067768040765068

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.008809454408921209	0.00012796673673033532

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	136520.79236830756
0.0ms	-0.04585476908520013	0.020067768040765068

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	136520.79236830756

Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations414.0ms (11.8%)

Memory

38.1MiB live, 407.3MiB allocated; 76ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 178 to 117 computations (34.3% saved)

preprocess227.0ms (6.4%)

Memory

-29.2MiB live, 261.5MiB allocated; 59ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 2 568 to 2 107 computations (18% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (33.2%)

preprocess49.0ms (1.4%)

series9.0ms (0.2%)

rewrite199.0ms (5.7%)

eval12.0ms (0.3%)

prune66.0ms (1.9%)

series14.0ms (0.4%)

rewrite177.0ms (5%)

eval62.0ms (1.8%)

prune10.0ms (0.3%)

series25.0ms (0.7%)

rewrite167.0ms (4.7%)

eval122.0ms (3.5%)

prune15.0ms (0.4%)

series28.0ms (0.8%)

rewrite288.0ms (8.2%)

eval42.0ms (1.2%)

prune29.0ms (0.8%)

regimes89.0ms (2.5%)

regimes65.0ms (1.8%)

regimes46.0ms (1.3%)

regimes19.0ms (0.5%)

regimes71.0ms (2%)

regimes15.0ms (0.4%)

regimes15.0ms (0.4%)

regimes13.0ms (0.4%)

regimes15.0ms (0.4%)

regimes12.0ms (0.3%)

regimes6.0ms (0.2%)

regimes25.0ms (0.7%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations414.0ms (11.8%)

preprocess227.0ms (6.4%)

end0.0ms (0%)

Profiling