Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (31%)

Memory

49.1MiB live, 1 305.7MiB allocated; 388ms collecting garbage

Samples

868.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

ival-cos: 310.0ms (50.5% of total)

ival-exp: 136.0ms (22.2% of total)

ival-mult!: 104.0ms (16.9% of total)

ival-neg: 41.0ms (6.7% of total)

ival-add!: 21.0ms (3.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess346.0ms (9.2%)

Memory

-5.6MiB live, 37.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs re)

(abs im)

Compiler

Compiled 20 to 20 computations (0% saved)

series8.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

10 → 37

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite219.0ms (5.8%)

Memory

16.6MiB live, 207.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

47 → 135

Calls

Call 1

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

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

eval42.0ms (1.1%)

Memory: -29.1MiB live, 29.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 250 to 470 computations (62.4% saved)

prune3.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	3	124

Accuracy

100.0%

Counts

124 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	63.2%	#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))))
▶	63.5%	#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))))

Status

Accuracy

Program

▶

51.3%

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

▶

63.2%

#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))))

▶

63.5%

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

Compiler

Compiled 47 to 47 computations (0% saved)

series18.0ms (0.5%)

Memory

-2.8MiB live, 40.5MiB allocated; 5ms collecting garbage

Counts

18 → 47

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	((* (* 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) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)))
3.0ms	im	@	-inf	((* (* 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) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)))
3.0ms	re	@	0	((* (* 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) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)))
2.0ms	re	@	inf	((* (* 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) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)))
2.0ms	re	@	-inf	((* (* 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) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)))

rewrite200.0ms (5.3%)

Memory

5.5MiB live, 238.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	1119
0	240	999
1	1431	999
0	8097	958

Stop Event

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

Counts

65 → 226

Calls

Call 1

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

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

eval24.0ms (0.6%)

Memory: 11.7MiB live, 56.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 236 to 979 computations (69.7% saved)

prune70.0ms (1.8%)

Memory

-65.8MiB live, 24.6MiB allocated; 103ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	209	8	217

Accuracy

100.0%

Counts

217 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	27.8%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (cos re) #s(literal 1 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
	14.6%	#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)))))
▶	49.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	63.5%	#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))))
▶	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
▶	52.8%	#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))))
▶	45.0%	#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))))

Compiler

Compiled 286 to 276 computations (3.5% saved)

series21.0ms (0.6%)

Memory

44.8MiB live, 44.8MiB allocated; 0ms collecting garbage

Counts

28 → 58

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 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)) (* (+ (* (* re re) -1/4) 1/2) 2) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
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 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 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)) (* (+ (* (* re re) -1/4) 1/2) 2) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* im im) 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))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 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)) (* (+ (* (* re re) -1/4) 1/2) 2) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* im im) 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))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 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)) (* (+ (* (* re re) -1/4) 1/2) 2) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms	re	@	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))) (* 1/2 (cos re)) (cos re) (+ (exp (neg im)) (exp im)) 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)) (* (+ (* (* re re) -1/4) 1/2) 2) (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))

rewrite182.0ms (4.8%)

Memory

-8.1MiB live, 188.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	1548
0	280	1375
1	1597	1372
0	8281	1337

Stop Event

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

Counts

86 → 262

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

eval47.0ms (1.3%)

Memory: -10.5MiB live, 33.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 215 to 1 352 computations (67.9% saved)

prune35.0ms (0.9%)

Memory

-22.2MiB live, 22.4MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	265	14	279
Fresh	0	1	1
Picked	3	2	5
Done	0	2	2
Total	268	19	287

Accuracy

100.0%

Counts

287 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	27.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
▶	14.6%	#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)))))
	14.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp 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)))))
	37.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	63.5%	#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))))
✓	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	28.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
▶	21.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))))
	10.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))))
	52.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	52.8%	#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))))
✓	45.0%	#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))))
	52.5%	#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))))
	32.7%	#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))))
	36.0%	#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 (/.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))))))
▶	28.1%	#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)))))
	20.2%	#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)))))

Compiler

Compiled 892 to 832 computations (6.7% saved)

series18.0ms (0.5%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Counts

34 → 59

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)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 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 (* 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 (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(*.f64 re re)
re
#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))
(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))
#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 (* 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 (* (* 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) 2) #s(hole binary64 1))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 (/ 1 (pow re 2))))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 (/ (+ 1 (* -1/2 (pow re 2))) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (* re re) -1/4) #s(hole binary64 (* -1/4 (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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (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) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 (- (/ 1 (pow re 2)) 1/2)))
#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 (* 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) #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 (* 1/24 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#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 (+ (* (* (+ (* (* 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 (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 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)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (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))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 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) (* im im)) 1/24) (* (* im im) (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (- (/ 1 (* re re)) 1/2) (* re re)) (- (/ 1 (* re re)) 1/2) (/ 1 (* re re)) (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -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))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 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) (* im im)) 1/24) (* (* im im) (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (- (/ 1 (* re re)) 1/2) (* re re)) (- (/ 1 (* re re)) 1/2) (/ 1 (* re re)) (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -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))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 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) (* im im)) 1/24) (* (* im im) (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (- (/ 1 (* re re)) 1/2) (* re re)) (- (/ 1 (* re re)) 1/2) (/ 1 (* re re)) (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -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))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 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) (* im im)) 1/24) (* (* im im) (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (- (/ 1 (* re re)) 1/2) (* re re)) (- (/ 1 (* re re)) 1/2) (/ 1 (* re re)) (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)
2.0ms	re	@	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))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) 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) (* im im)) 1/24) (* (* im im) (* im im)) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* (+ (* (* re re) -1/4) 1/2) 2) (* (- (/ 1 (* re re)) 1/2) (* re re)) (- (/ 1 (* re re)) 1/2) (/ 1 (* re re)) (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) (cosh im) (+ (* (* re re) -1/4) 1/2) (* (* re re) -1/4) -1/4)

rewrite222.0ms (5.9%)

Memory

-25.8MiB live, 308.6MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1652
0	282	1463
1	1491	1463
0	8353	1390

Stop Event

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

Counts

93 → 293

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)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 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 (* 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 (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64)))
(.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/24 binary64))
(.f64 (.f64 im im) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 re re))
(*.f64 re re)
re
#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))
(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))
#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 (* 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 (* (* 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) 2) #s(hole binary64 1))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 (/ 1 (pow re 2))))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 (/ (+ 1 (* -1/2 (pow re 2))) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (* re re) -1/4) #s(hole binary64 (* -1/4 (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 (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (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) 2) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ 1 (* re re)) 1/2) #s(hole binary64 (- (/ 1 (pow re 2)) 1/2)))
#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 (* 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) #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 (* 1/24 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (* (* (* im im) (* im im)) 1/24) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (* (* im im) (* im im)) #s(hole binary64 (pow im 4)))
#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 (+ (* (* (+ (* (* 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 (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/4 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (* 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)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (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))))))
(-.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)) (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 #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 #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))))))))
(+.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)) (+.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))))) (/.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 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #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))
(+.f64 #s(literal 1 binary64) (.f64 (neg.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 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.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)))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im)))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 (.f64 im im) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64)) (-.f64 (.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)))))))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im) #s(literal 3 binary64))) (fma.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im)) (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im)))))
(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 im (.f64 (.f64 im im) #s(literal 1/24 binary64))))
(+.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) im))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 im im)) (.f64 #s(literal -1/24 binary64) (.f64 im im)))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 im im)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 im im)) (.f64 #s(literal -1/24 binary64) (.f64 im im)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 im im))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) im) im) (-.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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(/.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 im im) im) im) (-.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))
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re
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#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 (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) (.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))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/48 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #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 (* (* 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) 2) #s(literal 1 binary64))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* re re)) 1/2) (/.f64 #s(literal 1 binary64) (*.f64 re re)))
#s(approx (- (/ 1 (* re re)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64)) (.f64 re re)))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (* (* re re) -1/4) (.f64 (.f64 re re) #s(literal -1/4 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 (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 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 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(literal -1/2 binary64) (.f64 re re)))
#s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re)))
#s(approx (- (/ 1 (* re re)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (/ 1 (* re re)) 1/2) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 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)) (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) (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 (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) 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) (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 (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (* (* (* im im) (* im im)) 1/24) (.f64 (.f64 (.f64 (.f64 im im) im) im) #s(literal 1/24 binary64)))
#s(approx (* (* im im) (* im im)) (.f64 (.f64 (*.f64 im im) 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 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (* 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 (*.f64 im im) im) im)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 im im) im) im)) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) 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 (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp 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))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval46.0ms (1.2%)

Memory: 28.6MiB live, 72.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 527 to 1 700 computations (51.8% saved)

prune36.0ms (0.9%)

Memory

7.8MiB live, 54.0MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	291	10	301
Fresh	5	5	10
Picked	2	3	5
Done	2	2	4
Total	300	20	320

Accuracy

100.0%

Counts

320 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	14.6%	#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)))))
	14.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp 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)))))
	37.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ ( im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
✓	63.5%	#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))))
	51.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	34.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))))
	33.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) re) re))))
	13.7%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(approx (- (/ 1 ( re re)) 1/2) (/.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 re re)))))
	10.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) (.f64 #s(approx (- (/ 1 ( re re)) 1/2) #s(literal -1/2 binary64)) (*.f64 re re)))))
	27.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) #s(approx (* (+ (* (* re re) -1/4) 1/2) 2) #s(literal 1 binary64))))
✓	52.8%	#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))))
	52.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	52.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 2 (* (cosh im) 1/2)) (fma.f64 (.f64 #s(approx (+ ( (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) im) im #s(literal 1 binary64))))
✓	45.0%	#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))))
	32.7%	#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))))
	28.1%	#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 (.f64 im im) im) im) #s(literal 1/24 binary64)))))
✓	28.1%	#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)))))
	27.8%	#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 im im) (.f64 (.f64 im im) #s(literal 1/24 binary64))))))
	20.2%	#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)))))

Compiler

Compiled 842 to 682 computations (19% saved)

regimes84.0ms (2.2%)

Memory

-25.8MiB live, 122.3MiB allocated; 27ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

27.0ms	im
13.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
13.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms	re
9.0ms	(*.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)

regimes69.0ms (1.8%)

Memory

28.4MiB live, 119.0MiB allocated; 22ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

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

20.0ms	(cos.f64 re)
14.0ms	re
9.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(.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))`
78.3%	2	`(cos.f64 re)`
78.3%	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)))`
76.5%	2	`re`
90.2%	3	`im`

Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes49.0ms (1.3%)

Memory

-17.3MiB live, 116.5MiB allocated; 25ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

13.0ms	(cos.f64 re)
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	im
8.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
77.1%	2	`(cos.f64 re)`
77.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
63.5%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
67.0%	2	`im`
77.1%	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)

regimes44.0ms (1.2%)

Memory

1.7MiB live, 48.7MiB allocated; 23ms collecting garbage

Counts

25 → 2

Calls

Call 1

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

Outputs

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

30.0ms	(cos.f64 re)
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
76.8%	2	`(cos.f64 re)`
76.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
76.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes59.0ms (1.6%)

Memory

36.2MiB live, 80.9MiB allocated; 8ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Calls

5 calls:

31.0ms	re
7.0ms	im
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
61.7%	4	`im`
59.2%	2	`re`
66.1%	2	`(cos.f64 re)`
66.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.1%	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)

regimes20.0ms (0.5%)

Memory

7.4MiB live, 50.5MiB allocated; 9ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
65.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
65.8%	2	`(cos.f64 re)`
65.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes32.0ms (0.8%)

Memory

-40.1MiB live, 56.1MiB allocated; 22ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

14.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(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
52.5%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
61.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
61.7%	2	`(cos.f64 re)`
61.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 21 to 24 computations (-14.3% saved)

regimes13.0ms (0.3%)

Memory

42.4MiB live, 42.4MiB allocated; 0ms collecting garbage

Counts

13 → 3

Calls

Call 1

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

Outputs

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

#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))) #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

3 calls:

4.0ms	(cos.f64 re)
4.0ms	(*.f64 #s(literal 1/2 binary64) (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
54.2%	2	`(cos.f64 re)`
54.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes8.0ms (0.2%)

Memory

-32.5MiB live, 11.2MiB allocated; 7ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

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
62.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 10 to 10 computations (0% saved)

regimes19.0ms (0.5%)

Memory

18.4MiB live, 63.7MiB allocated; 5ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	re
3.0ms	(cos.f64 re)
3.0ms	im
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
54.2%	2	`(cos.f64 re)`
54.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
48.5%	3	`im`
49.8%	2	`re`
54.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 18 to 22 computations (-22.2% saved)

regimes11.0ms (0.3%)

Memory

-18.2MiB live, 27.5MiB allocated; 3ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
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
44.8%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
41.9%	3	`(cos.f64 re)`
41.9%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
54.0%	3	`(.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)

regimes5.0ms (0.1%)

Memory

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

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

2.0ms	im
2.0ms	re
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
44.8%	2	`im`
32.9%	2	`re`
44.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes39.0ms (1%)

Memory

-26.9MiB live, 29.3MiB allocated; 39ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

32.0ms	(cos.f64 re)
1.0ms	im
1.0ms	re
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
27.8%	1	`re`
27.8%	1	`(cos.f64 re)`
27.8%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
27.8%	1	`im`
27.8%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
27.8%	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)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999962	1.0
0.0ms	-inf	-0.9988792872499297

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00529137128980154	0.05455134696169189

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00529137128980154	0.05455134696169189

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00264568564490077	0.016904876139402475

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00264568564490077	0.016904876139402475

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00529137128980154	0.05455134696169189

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000003089875	6.03732509786419e+51
0.0ms	-0.00529137128980154	0.05455134696169189

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000003089875	6.03732509786419e+51
0.0ms	-0.00529137128980154	0.05455134696169189

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	-0.00529137128980154	0.05455134696169189

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.000000003089875	6.03732509786419e+51
0.0ms	-0.00529137128980154	0.05455134696169189

Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000003089875	6.03732509786419e+51

Compiler

Compiled 13 to 15 computations (-15.4% saved)

derivations469.0ms (12.4%)

Memory

33.9MiB live, 691.8MiB allocated; 90ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 192 to 116 computations (39.6% saved)

preprocess143.0ms (3.8%)

Memory

3.6MiB live, 293.2MiB allocated; 50ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 2 958 to 2 306 computations (22% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (31%)

preprocess346.0ms (9.2%)

series8.0ms (0.2%)

rewrite219.0ms (5.8%)

eval42.0ms (1.1%)

prune3.0ms (0.1%)

series18.0ms (0.5%)

rewrite200.0ms (5.3%)

eval24.0ms (0.6%)

prune70.0ms (1.8%)

series21.0ms (0.6%)

rewrite182.0ms (4.8%)

eval47.0ms (1.3%)

prune35.0ms (0.9%)

series18.0ms (0.5%)

rewrite222.0ms (5.9%)

eval46.0ms (1.2%)

prune36.0ms (0.9%)

regimes84.0ms (2.2%)

regimes69.0ms (1.8%)

regimes49.0ms (1.3%)

regimes44.0ms (1.2%)

regimes59.0ms (1.6%)

regimes20.0ms (0.5%)

regimes32.0ms (0.8%)

regimes13.0ms (0.3%)

regimes8.0ms (0.2%)

regimes19.0ms (0.5%)

regimes11.0ms (0.3%)

regimes5.0ms (0.1%)

regimes39.0ms (1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations469.0ms (12.4%)

preprocess143.0ms (3.8%)

end0.0ms (0%)

Profiling