Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 14 to 13 computations (7.1% saved)

sample2.4s (46.9%)

Memory

56.2MiB live, 2 945.3MiB allocated; 663ms collecting garbage

Samples

763.0ms	2 407×	1	valid
729.0ms	1 635×	2	valid
506.0ms	4 214×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 872.0ms (53.4% of total)

ival-cos: 316.0ms (19.3% of total)

ival-sub!: 160.0ms (9.8% of total)

ival-mult!: 160.0ms (9.8% of total)

adjust: 126.0ms (7.7% of total)

Bogosity

preprocess65.0ms (1.3%)

Memory

-33.8MiB live, 63.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	70
1	121	55
2	511	34
3	3138	34

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Symmetry

(abs re)

(negabs im)

Compiler

Compiled 22 to 22 computations (0% saved)

series8.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

11 → 38

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp 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 (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp 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 (- 0 im)) (exp im))) #s(hole binary64 (* -1 (* im (cos re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* -2 im)))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (- 0 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 (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))

Calls

6 calls:

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

rewrite174.0ms (3.4%)

Memory

-26.1MiB live, 220.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	725
0	197	690
1	1135	648
0	8216	617

Stop Event

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

Counts

49 → 122

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp 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 (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp 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 (- 0 im)) (exp im))) #s(hole binary64 (* -1 (* im (cos re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* -2 im)))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (- 0 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 (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))

Outputs
(.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re))))
(neg.f64 (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal -1/2 binary64)))
(neg.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(neg.f64 (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(sin.f64 (+.f64 (neg.f64 re) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 re (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 (cos.f64 re) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 1/2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))))
re
(.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.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 (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))) (+.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (exp.f64 (.f64 (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))) (+.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(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))) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (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 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))) (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (exp.f64 (+.f64 (neg.f64 im) im))))))
(-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (neg.f64 (exp.f64 im))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (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)))) (exp.f64 im))
(/.f64 (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im))) (exp.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 (neg.f64 (neg.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(neg.f64 (-.f64 (sinh.f64 im) (cosh.f64 im)))
(-.f64 (cosh.f64 im) (neg.f64 (sinh.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 (neg.f64 im))))
(-.f64 (cosh.f64 im) (sinh.f64 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 (-.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 im))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) 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) (-.f64 #s(literal 0 binary64) (.f64 im im))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 im))))
(/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (neg.f64 (neg.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 im))))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(neg.f64 (neg.f64 (neg.f64 im)))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 im)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))) (/.f64 (.f64 (.f64 im im) im) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 im)))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(literal 0 binary64)
im
(/.f64 (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im))) (exp.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) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (cosh.f64 im) (sinh.f64 im)))))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (-.f64 (.f64 (.f64 (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (-.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 1/48 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -1/1440 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/48 binary64))) (.f64 re re)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re)) (.f64 (.f64 #s(literal 2 binary64) (sinh.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 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (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 (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (.f64 (.f64 im im) (cos.f64 re)) #s(literal -1/6 binary64)) (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (.f64 im im)) (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (.f64 im im)) (cos.f64 re)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (exp (- 0 im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (- 0 im)) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (- 0 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 (- 0 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 (- 0 im)) (exp im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (- (exp (- 0 im)) (exp im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))

eval11.0ms (0.2%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 042 to 507 computations (51.3% saved)

prune7.0ms (0.1%)

Memory

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

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	104	7	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	7	112

Accuracy

99.9%

Counts

112 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64))
	87.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
▶	34.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
▶	40.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
	28.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (-.f64 (.f64 (.f64 (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
▶	66.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
▶	55.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))

Compiler

Compiled 228 to 224 computations (1.8% saved)

series34.0ms (0.7%)

Memory

-6.8MiB live, 39.9MiB allocated; 2ms collecting garbage

Counts

27 → 71

Calls

Call 1

Inputs
(.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 #s(literal 2 binary64) (sinh.f64 im))
#s(literal 2 binary64)
(sinh.f64 im)
im
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)

Outputs
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* -1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* 1/4 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/4 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/4 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (- (exp im) (/ 1 (exp im)))) (* 1/1440 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* -1 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* 1/2 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (- (exp im) (/ 1 (exp im)))) (* 1/720 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp 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 (* (neg im) (cos re)) #s(hole binary64 (* -1 im)))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* 1/2 (* im (pow re 2))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* -1/2 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* -1 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 (* im (cos re)))))
#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 (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* -2 (* im (cos re)))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* -2 im)))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* 2 im)))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* im (+ 2 (* 1/3 (pow im 2))))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* im (+ 2 (* (pow im 2) (+ 1/3 (* 1/60 (pow im 2))))))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* im (+ 2 (* (pow im 2) (+ 1/3 (* (pow im 2) (+ 1/60 (* 1/2520 (pow im 2))))))))))
#s(approx (sinh im) #s(hole binary64 im))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* 1/6 (pow im 2))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))))
#s(approx (* (neg (* 2 (sinh im))) 1/2) #s(hole binary64 (* im (- (* -1/6 (pow im 2)) 1))))
#s(approx (* (neg (* 2 (sinh im))) 1/2) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
#s(approx (* (neg (* 2 (sinh im))) 1/2) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (- (/ 1 (exp im)) (exp im))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (- (exp im) (/ 1 (exp im)))))
#s(approx (sinh im) #s(hole binary64 (* 1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	re	@	inf	((* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (* (neg (* 2 (sinh im))) (cos re)) (neg (* 2 (sinh im))) (* 2 (sinh im)) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* 2 (sinh im))) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
6.0ms	im	@	inf	((* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (* (neg (* 2 (sinh im))) (cos re)) (neg (* 2 (sinh im))) (* 2 (sinh im)) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* 2 (sinh im))) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
3.0ms	im	@	-inf	((* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (* (neg (* 2 (sinh im))) (cos re)) (neg (* 2 (sinh im))) (* 2 (sinh im)) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* 2 (sinh im))) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
3.0ms	re	@	0	((* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (* (neg (* 2 (sinh im))) (cos re)) (neg (* 2 (sinh im))) (* 2 (sinh im)) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* 2 (sinh im))) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)
3.0ms	re	@	-inf	((* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (* (neg (* 2 (sinh im))) (cos re)) (neg (* 2 (sinh im))) (* 2 (sinh im)) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (* 2 (sinh im))) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) -1/4)

rewrite233.0ms (4.6%)

Memory

6.3MiB live, 295.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	1653
0	397	1449
1	2333	1449
0	10078	1367

Stop Event

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

Counts

98 → 248

Calls

Call 1

Inputs
(.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 #s(literal 2 binary64) (sinh.f64 im))
#s(literal 2 binary64)
(sinh.f64 im)
im
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/4 binary64)
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* -1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* 1/4 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/4 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/4 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (- (exp im) (/ 1 (exp im)))) (* 1/1440 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* -1 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* 1/2 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (- (exp im) (/ 1 (exp im)))) (* 1/720 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp 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 (* (neg im) (cos re)) #s(hole binary64 (* -1 im)))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* 1/2 (* im (pow re 2))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* -1/2 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* -1 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 (* im (cos re)))))
#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 (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* -2 (* im (cos re)))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* -2 im)))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* 2 im)))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* im (+ 2 (* 1/3 (pow im 2))))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* im (+ 2 (* (pow im 2) (+ 1/3 (* 1/60 (pow im 2))))))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (* im (+ 2 (* (pow im 2) (+ 1/3 (* (pow im 2) (+ 1/60 (* 1/2520 (pow im 2))))))))))
#s(approx (sinh im) #s(hole binary64 im))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* 1/6 (pow im 2))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))))
#s(approx (* (neg (* 2 (sinh im))) 1/2) #s(hole binary64 (* im (- (* -1/6 (pow im 2)) 1))))
#s(approx (* (neg (* 2 (sinh im))) 1/2) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))))
#s(approx (* (neg (* 2 (sinh im))) 1/2) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (neg (* 2 (sinh im))) #s(hole binary64 (- (/ 1 (exp im)) (exp im))))
#s(approx (* 2 (sinh im)) #s(hole binary64 (- (exp im) (/ 1 (exp im)))))
#s(approx (sinh im) #s(hole binary64 (* 1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))

Outputs
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (sinh.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) (sinh.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(.f64 (neg.f64 (cos.f64 re)) (.f64 (sinh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (cos.f64 re) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(neg.f64 (.f64 (cos.f64 re) (.f64 (sinh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(.f64 #s(literal -1 binary64) (.f64 (sinh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.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 (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))) (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 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 (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))) (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (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 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))) (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(*.f64 (sinh.f64 im) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 im))
(/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im)))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im)))))))
(/.f64 (fma.f64 (sinh.f64 im) #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (-.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im))))))
(neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(-.f64 (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im)))))))
(-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (sinh.f64 im) (sinh.f64 im))
(+.f64 (exp.f64 im) (neg.f64 (exp.f64 (neg.f64 im))))
#s(literal 2 binary64)
(/.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -2 binary64))
(sinh.f64 im)
(-.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
im
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
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(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
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re
#s(literal 1/2 binary64)
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)))
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(-.f64 (cosh.f64 im) (sinh.f64 (-.f64 im #s(literal 0 binary64))))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (*.f64 (log.f64 (exp.f64 im)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
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(*.f64 im #s(literal -1 binary64))
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(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
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(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(literal 0 binary64)
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(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 (.f64 (cos.f64 re) im) #s(literal -1 binary64))
(*.f64 (neg.f64 im) (cos.f64 re))
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) im))
(*.f64 (cos.f64 re) (neg.f64 im))
(neg.f64 (*.f64 (cos.f64 re) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) im)) (/.f64 (*.f64 im im) (+.f64 #s(literal 0 binary64) im)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))) (/.f64 (.f64 (.f64 im im) im) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))))
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(/.f64 (neg.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))) (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
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(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64))))
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(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/4 binary64)
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#s(approx (cos re) #s(literal 1 binary64))
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#s(approx re re)
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 #s(literal -2 binary64) (sinh.f64 im)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal -2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (*.f64 #s(literal -2 binary64) (sinh.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 (* (neg im) (cos re)) (neg.f64 im))
#s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) im)) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) im)) (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (.f64 (cos.f64 re) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) (.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (sinh.f64 im))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (neg im) (cos re)) (*.f64 (neg.f64 im) (cos.f64 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 (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (fma.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) (cos.f64 re) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) (.f64 (.f64 (cos.f64 re) im) #s(literal -2 binary64)))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -2 binary64) (cos.f64 re))) im))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/3 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -2 binary64) (cos.f64 re))) im))
#s(approx (* (neg (* 2 (sinh im))) (cos re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/60 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -1/3 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -2 binary64) (cos.f64 re))) im))
#s(approx (neg (* 2 (sinh im))) (*.f64 #s(literal -2 binary64) im))
#s(approx (neg (* 2 (sinh im))) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (neg (* 2 (sinh im))) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (neg (* 2 (sinh im))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* 2 (sinh im)) (+.f64 im im))
#s(approx (* 2 (sinh im)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 im im) #s(literal 2 binary64)) im))
#s(approx (* 2 (sinh im)) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 im im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal 2 binary64)) im))
#s(approx (* 2 (sinh im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 im im) #s(literal 1/60 binary64)) (.f64 im im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal 2 binary64)) im))
#s(approx (sinh im) im)
#s(approx (sinh im) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sinh im) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sinh im) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
#s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im))
#s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))
#s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))
#s(approx (exp (- 0 im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (- 0 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 im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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 (neg (* 2 (sinh im))) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
#s(approx (* 2 (sinh im)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
#s(approx (sinh im) (.f64 (.f64 (sinh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (neg (* 2 (sinh im))) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* (neg (* 2 (sinh im))) (cos re)) 1/2) (.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (neg (* 2 (sinh im))) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))

eval35.0ms (0.7%)

Memory: -30.2MiB live, 105.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 2 971 to 1 133 computations (61.9% saved)

prune17.0ms (0.3%)

Memory

0.2MiB live, 51.8MiB allocated; 8ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	289	12	301
Fresh	2	0	2
Picked	4	1	5
Done	0	0	0
Total	295	13	308

Accuracy

99.9%

Counts

308 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(.f64 (.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im)))))) (cos.f64 re)) #s(literal 1/2 binary64))
▶	99.9%	(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
	87.5%	(.f64 (.f64 #s(approx (neg (* 2 (sinh im))) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
	66.5%	(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
	33.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
▶	59.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
▶	40.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
	31.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	55.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
	42.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
	55.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
▶	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
▶	31.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))

Compiler

Compiled 443 to 417 computations (5.9% saved)

series20.0ms (0.4%)

Memory

37.8MiB live, 83.8MiB allocated; 4ms collecting garbage

Counts

28 → 70

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(cos.f64 re)
re
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
#s(literal -2 binary64)
(sinh.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im)))
(fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))
(.f64 (.f64 re re) im)
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im))
#s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)

Outputs
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* 1/4 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/4 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/4 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (- (exp im) (/ 1 (exp im)))) (* 1/1440 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* 1/2 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (- (exp im) (/ 1 (exp im)))) (* 1/720 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 im)))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* 1/2 (* im (pow re 2))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (- (* 1/2 (* im (pow re 2))) im)))
#s(approx (* (* re re) im) #s(hole binary64 (* im (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 (* im (cos re)))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* 1/2 (* im (pow re 2)))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -2 (* im (cos re)))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* -2 im)))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (sinh im) #s(hole binary64 im))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* 1/6 (pow im 2))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* im (- (* 1/2 (pow re 2)) 1))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (sinh im) #s(hole binary64 (* 1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* im (- (/ 1 im) 1))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* -1 (* im (+ 1 (* -1/2 (pow re 2)))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* -1 (* im (- 1 (/ 1 im))))))

Calls

6 calls:

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

rewrite217.0ms (4.3%)

Memory

-3.8MiB live, 410.5MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1650
0	379	1581
1	2221	1515
0	9602	1443

Stop Event

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

Counts

98 → 235

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(cos.f64 re)
re
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
#s(literal -2 binary64)
(sinh.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (neg.f64 im))
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im)))
(fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))
(.f64 (.f64 re re) im)
(*.f64 re re)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im))
#s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* 1/4 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/4 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/4 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (- (exp im) (/ 1 (exp im)))) (* 1/1440 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* 1/2 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (- (exp im) (/ 1 (exp im)))) (* 1/720 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 im)))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* 1/2 (* im (pow re 2))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (- (* 1/2 (* im (pow re 2))) im)))
#s(approx (* (* re re) im) #s(hole binary64 (* im (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 (* im (cos re)))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* 1/2 (* im (pow re 2)))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* -1/4 (pow re 2))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -2 (* im (cos re)))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* -2 im)))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (sinh im) #s(hole binary64 im))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* 1/6 (pow im 2))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))))
#s(approx (sinh im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* im (- (* 1/2 (pow re 2)) 1))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (sinh im) #s(hole binary64 (* 1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* im (- (/ 1 im) 1))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* -1 (* im (+ 1 (* -1/2 (pow re 2)))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* -1 (* im (- 1 (/ 1 im))))))

Outputs
(.f64 (.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 (*.f64 (sinh.f64 im) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im)))
(.f64 (.f64 (cos.f64 re) #s(literal -2 binary64)) (sinh.f64 im))
(.f64 (.f64 (sinh.f64 im) #s(literal -2 binary64)) (cos.f64 re))
(.f64 (cos.f64 re) (.f64 (sinh.f64 im) #s(literal -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 (sinh.f64 im) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
#s(literal -2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(sinh.f64 im)
(-.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (neg.f64 (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (neg.f64 im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 im im) (neg.f64 im))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im))) (neg.f64 (+.f64 #s(literal 0 binary64) im)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 (-.f64 im #s(literal 0 binary64)))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) im)) (/.f64 (*.f64 im im) (+.f64 #s(literal 0 binary64) im)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))) (/.f64 (.f64 (.f64 im im) im) (+.f64 #s(literal 0 binary64) (fma.f64 im im (.f64 #s(literal 0 binary64) im)))))
(-.f64 #s(literal 0 binary64) im)
(+.f64 #s(literal 0 binary64) (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im))
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(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 (sinh.f64 im) #s(literal -2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 re re))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(/.f64 (neg.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))) (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64))))
(/.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)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal -1/64 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 re #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (/.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 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 #s(literal 1/4 binary64) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 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) #s(literal -1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/4 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)))
#s(literal -1/4 binary64)
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64)))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/1440 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal -1/48 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))))
#s(approx (* (cos re) (* -2 (sinh im))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) (.f64 re re) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal -1/24 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/48 binary64))) (.f64 re re) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (neg im) (cos re)) (neg.f64 im))
#s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im))
#s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) im)) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) im)) (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im))
#s(approx (* (* re re) im) (.f64 (.f64 re re) im))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (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) (* -2 (sinh im))) 1/2) (.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -1/2 binary64)))
#s(approx (* (cos re) (* -2 (sinh im))) (neg.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (neg im) (cos re)) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (neg.f64 im) (.f64 re re))) (*.f64 re re)))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) (cos.f64 re) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (.f64 (cos.f64 re) im) #s(literal -2 binary64)))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal -2 binary64))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/3 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal -2 binary64))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/60 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -1/3 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal -2 binary64))) im))
#s(approx (* -2 (sinh im)) (*.f64 im #s(literal -2 binary64)))
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (sinh im) im)
#s(approx (sinh im) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sinh im) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sinh im) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
#s(approx (exp (- 0 im)) (-.f64 (neg.f64 im) #s(literal -1 binary64)))
#s(approx (exp (- 0 im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (- 0 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 im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #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 (sinh im) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (- (exp (- 0 im)) (exp im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (neg.f64 im) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (neg im) 1) (*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))

eval37.0ms (0.7%)

Memory: 8.7MiB live, 104.5MiB allocated; 23ms collecting garbage
Compiler: Compiled 3 044 to 1 208 computations (60.3% saved)

prune20.0ms (0.4%)

Memory

23.0MiB live, 66.1MiB allocated; 6ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	250	12	262
Fresh	1	6	7
Picked	3	2	5
Done	0	1	1
Total	254	21	275

Accuracy

99.9%

Counts

275 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(.f64 (.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im)))))) (cos.f64 re)) #s(literal 1/2 binary64))
✓	99.9%	(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
▶	87.5%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
	66.5%	(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
	33.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
	54.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
▶	22.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
	5.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
▶	40.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im)))
	31.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	55.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
	42.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
	55.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) im) #s(literal 1/2 binary64) (neg.f64 im))))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re (.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))
	20.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))))
▶	36.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
✓	31.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
▶	11.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))

Compiler

Compiled 801 to 760 computations (5.1% saved)

series450.0ms (8.8%)

Memory

-118.0MiB live, 77.8MiB allocated; 755ms collecting garbage

Counts

42 → 82

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(cos.f64 re)
re
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))
(.f64 (.f64 re re) im)
(*.f64 re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) (*.f64 im im))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) im)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))))
#s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(neg.f64 im)
#s(literal 1 binary64)
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im)))
(-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im))
#s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im)))
#s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im)
(-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) im)
(exp.f64 im)

Outputs
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* 1/4 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/4 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/4 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (- (exp im) (/ 1 (exp im)))) (* 1/1440 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* 1/2 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (- (exp im) (/ 1 (exp im)))) (* 1/720 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 im)))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* 1/2 (* im (pow re 2))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (- (* 1/2 (* im (pow re 2))) im)))
#s(approx (* (* (* re re) im) 1/2) #s(hole binary64 (* 1/2 (* im (pow re 2)))))
#s(approx (* (* re re) im) #s(hole binary64 (* im (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 (* im (cos re)))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -2 (* im (cos re)))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* -2 im)))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 -2))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 (- (* -1/3 (pow im 2)) 2)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* im (- (* 1/2 (pow re 2)) 1))))
#s(approx (- 0 (* im im)) #s(hole binary64 (* -1 (pow im 2))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (* 1/2 im) 1) #s(hole binary64 (+ 1 (* 1/2 im))))
#s(approx (- (/ 1 im) 1) #s(hole binary64 (/ 1 im)))
#s(approx (- (/ 1 im) 1) #s(hole binary64 (/ (+ 1 (* -1 im)) im)))
#s(approx (* (+ (* -1/3 (* im im)) -2) im) #s(hole binary64 (* -1/3 (pow im 3))))
#s(approx (* (+ (* -1/3 (* im im)) -2) im) #s(hole binary64 (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 (* -1/3 (pow im 2))))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* im (- (/ 1 im) 1))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (/ 1 im) (/ 1 (pow im 2)))))))
#s(approx (+ (* 1/2 im) 1) #s(hole binary64 (* 1/2 im)))
#s(approx (+ (* 1/2 im) 1) #s(hole binary64 (* im (+ 1/2 (/ 1 im)))))
#s(approx (- (/ 1 im) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 im) 1) #s(hole binary64 (- (/ 1 im) 1)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* -1 (* im (+ 1 (* -1/2 (pow re 2)))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* -1 (* im (- 1 (/ 1 im))))))

Calls

6 calls:

Time	Variable		Point	Expression
423.0ms	im	@	inf	((* (* (cos re) (* -2 (sinh im))) 1/2) (* (cos re) (* -2 (sinh im))) (cos re) re (* -2 (sinh im)) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/3 (* im im)) -2) -1/3 (* im im) im -2 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (+ (* (* (* re re) im) 1/2) (neg im)) (* (* (* re re) im) 1/2) (* (* re re) im) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (/ (- 0 (* im im)) (+ 0 im)) (- 0 (* im im)) 0 (+ 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (neg im) 1 (exp im) (+ (* (+ (* 1/2 im) 1) im) 1) (+ (* 1/2 im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (* (- (/ 1 im) 1) im) (- (/ 1 im) 1) (/ 1 im) (exp im))
5.0ms	im	@	-inf	((* (* (cos re) (* -2 (sinh im))) 1/2) (* (cos re) (* -2 (sinh im))) (cos re) re (* -2 (sinh im)) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/3 (* im im)) -2) -1/3 (* im im) im -2 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (+ (* (* (* re re) im) 1/2) (neg im)) (* (* (* re re) im) 1/2) (* (* re re) im) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (/ (- 0 (* im im)) (+ 0 im)) (- 0 (* im im)) 0 (+ 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (neg im) 1 (exp im) (+ (* (+ (* 1/2 im) 1) im) 1) (+ (* 1/2 im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (* (- (/ 1 im) 1) im) (- (/ 1 im) 1) (/ 1 im) (exp im))
4.0ms	im	@	0	((* (* (cos re) (* -2 (sinh im))) 1/2) (* (cos re) (* -2 (sinh im))) (cos re) re (* -2 (sinh im)) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/3 (* im im)) -2) -1/3 (* im im) im -2 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (+ (* (* (* re re) im) 1/2) (neg im)) (* (* (* re re) im) 1/2) (* (* re re) im) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (/ (- 0 (* im im)) (+ 0 im)) (- 0 (* im im)) 0 (+ 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (neg im) 1 (exp im) (+ (* (+ (* 1/2 im) 1) im) 1) (+ (* 1/2 im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (* (- (/ 1 im) 1) im) (- (/ 1 im) 1) (/ 1 im) (exp im))
3.0ms	re	@	inf	((* (* (cos re) (* -2 (sinh im))) 1/2) (* (cos re) (* -2 (sinh im))) (cos re) re (* -2 (sinh im)) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/3 (* im im)) -2) -1/3 (* im im) im -2 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (+ (* (* (* re re) im) 1/2) (neg im)) (* (* (* re re) im) 1/2) (* (* re re) im) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (/ (- 0 (* im im)) (+ 0 im)) (- 0 (* im im)) 0 (+ 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (neg im) 1 (exp im) (+ (* (+ (* 1/2 im) 1) im) 1) (+ (* 1/2 im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (* (- (/ 1 im) 1) im) (- (/ 1 im) 1) (/ 1 im) (exp im))
3.0ms	re	@	-inf	((* (* (cos re) (* -2 (sinh im))) 1/2) (* (cos re) (* -2 (sinh im))) (cos re) re (* -2 (sinh im)) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/3 (* im im)) -2) -1/3 (* im im) im -2 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (+ (* (* (* re re) im) 1/2) (neg im)) (* (* (* re re) im) 1/2) (* (* re re) im) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg im) (cos re)) (/ (- 0 (* im im)) (+ 0 im)) (- 0 (* im im)) 0 (+ 0 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (neg im) 1 (exp im) (+ (* (+ (* 1/2 im) 1) im) 1) (+ (* 1/2 im) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (+ (neg im) 1) (* (- (/ 1 im) 1) im) (- (/ 1 im) 1) (/ 1 im) (exp im))

rewrite299.0ms (5.9%)

Memory

-10.8MiB live, 263.7MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	1991
0	417	1873
1	2328	1795
0	8353	1729

Stop Event

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

Counts

124 → 408

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(cos.f64 re)
re
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))
(.f64 (.f64 re re) im)
(*.f64 re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) (*.f64 im im))
#s(literal 0 binary64)
(+.f64 #s(literal 0 binary64) im)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))))
#s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (neg.f64 im) #s(literal 1 binary64))
(neg.f64 im)
#s(literal 1 binary64)
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im)))
(-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im))
#s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im)))
#s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im)
(-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) im)
(exp.f64 im)
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* 1/4 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/4 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (+ (* -1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/4 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/48 (- (exp im) (/ 1 (exp im)))) (* 1/1440 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (- (exp im) (/ 1 (exp im))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* 1/2 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (exp im) (/ 1 (exp im))))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (+ (* -1 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* 1/2 (- (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/24 (- (exp im) (/ 1 (exp im)))) (* 1/720 (* (pow re 2) (- (exp im) (/ 1 (exp im))))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx re #s(hole binary64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (- (exp (neg im)) (exp im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 im)))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* 1/2 (* im (pow re 2))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (- (* 1/2 (* im (pow re 2))) im)))
#s(approx (* (* (* re re) im) 1/2) #s(hole binary64 (* 1/2 (* im (pow re 2)))))
#s(approx (* (* re re) im) #s(hole binary64 (* im (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* -1/2 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -1 (* (cos re) (- (exp im) (/ 1 (exp im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))))
#s(approx (* (neg im) (cos re)) #s(hole binary64 (* -1 (* im (cos re)))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) #s(hole binary64 (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* -2 (* im (cos re)))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* -1/3 (* (pow im 2) (cos re)))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* -1/60 (* (pow im 2) (cos re)))))))))
#s(approx (* (cos re) (* -2 (sinh im))) #s(hole binary64 (* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -1/3 (cos re)) (* (pow im 2) (+ (* -1/60 (cos re)) (* -1/2520 (* (pow im 2) (cos re)))))))))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* -2 im)))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* -1/3 (pow im 2)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))))
#s(approx (* -2 (sinh im)) #s(hole binary64 (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 -2))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 (- (* -1/3 (pow im 2)) 2)))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* im (- (* 1/2 (pow re 2)) 1))))
#s(approx (- 0 (* im im)) #s(hole binary64 (* -1 (pow im 2))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx (+ (* 1/2 im) 1) #s(hole binary64 (+ 1 (* 1/2 im))))
#s(approx (- (/ 1 im) 1) #s(hole binary64 (/ 1 im)))
#s(approx (- (/ 1 im) 1) #s(hole binary64 (/ (+ 1 (* -1 im)) im)))
#s(approx (* (+ (* -1/3 (* im im)) -2) im) #s(hole binary64 (* -1/3 (pow im 3))))
#s(approx (* (+ (* -1/3 (* im im)) -2) im) #s(hole binary64 (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2))))))))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 (* -1/3 (pow im 2))))
#s(approx (+ (* -1/3 (* im im)) -2) #s(hole binary64 (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2))))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (neg im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (neg im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* im (- (/ 1 im) 1))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) #s(hole binary64 (* 1/2 (pow im 2))))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (/ 1 im)))))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) #s(hole binary64 (* (pow im 2) (+ 1/2 (+ (/ 1 im) (/ 1 (pow im 2)))))))
#s(approx (+ (* 1/2 im) 1) #s(hole binary64 (* 1/2 im)))
#s(approx (+ (* 1/2 im) 1) #s(hole binary64 (* im (+ 1/2 (/ 1 im)))))
#s(approx (- (/ 1 im) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 im) 1) #s(hole binary64 (- (/ 1 im) 1)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) #s(hole binary64 (* -1 (* im (+ 1 (* -1/2 (pow re 2)))))))
#s(approx (- (exp (- 0 im)) (exp im)) #s(hole binary64 (- (exp (* -1 im)) (exp im))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))
#s(approx (+ (neg im) 1) #s(hole binary64 (* -1 (* im (- 1 (/ 1 im))))))

Outputs
(.f64 (cos.f64 re) (.f64 #s(approx (* -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))))
(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (cos.f64 re))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (.f64 (.f64 im im) #s(literal -1/3 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im))) (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (*.f64 #s(literal 0 binary64) im)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (.f64 (.f64 im im) #s(literal -1/3 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im))) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) im)))))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) im)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) (+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 im im) im)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))
(pow.f64 im #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im))
(/.f64 #s(literal 1 binary64) (-.f64 im #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 im)))
(/.f64 #s(literal 1 binary64) im)
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64)))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal -1/48 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/1440 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal -1/48 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))))
#s(approx (* (cos re) (* -2 (sinh im))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) (.f64 re re) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (* (cos re) (* -2 (sinh im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (sinh.f64 im)) (.f64 #s(literal -1/24 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))) (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 (*.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/48 binary64))) (.f64 re re) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))))
#s(approx (* (neg im) (cos re)) (neg.f64 im))
#s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im))
#s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) im)) (neg.f64 im)))
#s(approx (* (neg im) (cos re)) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) im)) (.f64 #s(literal 1/2 binary64) im)) (.f64 re re) (neg.f64 im)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im))
#s(approx (* (* (* re re) im) 1/2) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))
#s(approx (* (* re re) im) (.f64 (.f64 re re) im))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (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) (* -2 (sinh im))) 1/2) (.f64 (.f64 (cos.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -1/2 binary64)))
#s(approx (* (cos re) (* -2 (sinh im))) (neg.f64 (.f64 (cos.f64 re) (.f64 #s(literal 2 binary64) (sinh.f64 im)))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (neg im) (cos re)) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (neg.f64 im) (.f64 re re))) (*.f64 re re)))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) (cos.f64 re) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* (cos re) (* -2 (sinh im))) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/120 binary64) (cos.f64 re))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (cos.f64 re))) (*.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (.f64 (cos.f64 re) im) #s(literal -2 binary64)))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (fma.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal -2 binary64))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal -1/3 binary64))) (.f64 im im) (.f64 (cos.f64 re) #s(literal -2 binary64))) im))
#s(approx (* (cos re) (* -2 (sinh im))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal -1/60 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal -1/3 binary64))) (.f64 im im) (.f64 (cos.f64 re) #s(literal -2 binary64))) im))
#s(approx (* -2 (sinh im)) (*.f64 im #s(literal -2 binary64)))
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* -2 (sinh im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64))
#s(approx (+ (* -1/3 (* im im)) -2) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
#s(approx (- 0 (* im im)) (neg.f64 (*.f64 im im)))
#s(approx (exp (- 0 im)) (-.f64 #s(literal 1 binary64) im))
#s(approx (exp (- 0 im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (- 0 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 im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (+ (* 1/2 im) 1) (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
#s(approx (- (/ 1 im) 1) (/.f64 #s(literal 1 binary64) im))
#s(approx (- (/ 1 im) 1) (/.f64 (-.f64 #s(literal 1 binary64) im) im))
#s(approx (* (+ (* -1/3 (* im im)) -2) im) (.f64 (.f64 (*.f64 im im) im) #s(literal -1/3 binary64)))
#s(approx (* (+ (* -1/3 (* im im)) -2) im) (.f64 (.f64 (.f64 im im) (neg.f64 im)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64))))
#s(approx (+ (* -1/3 (* im im)) -2) (.f64 (.f64 im im) #s(literal -1/3 binary64)))
#s(approx (+ (* -1/3 (* im im)) -2) (.f64 (neg.f64 (.f64 im im)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im))
#s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)) (*.f64 im im)))
#s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im))
#s(approx (+ (* 1/2 im) 1) (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
#s(approx (- (/ 1 im) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 im) 1) (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (cos.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (neg.f64 im) (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (+ (neg im) 1) (*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))

eval45.0ms (0.9%)

Memory: 36.2MiB live, 126.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 4 967 to 2 158 computations (56.6% saved)

prune37.0ms (0.7%)

Memory

-16.2MiB live, 82.3MiB allocated; 15ms collecting garbage

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	357	18	375
Fresh	5	8	13
Picked	3	2	5
Done	0	3	3
Total	365	31	396

Accuracy

99.9%

Counts

396 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(.f64 (.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
	28.2%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (.f64 (.f64 im im) #s(literal -1/3 binary64))) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im))) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) (.f64 #s(literal 0 binary64) im))))))) #s(literal 1/2 binary64))
	40.6%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) (.f64 (.f64 im im) #s(literal -1/3 binary64))) #s(literal 4 binary64)) (neg.f64 (.f64 im im))) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) (neg.f64 im))))) #s(literal 1/2 binary64))
✓	87.5%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
	38.0%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 (.f64 im im) #s(literal -1/3 binary64))) im))) #s(literal 1/2 binary64))
	64.9%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 (neg.f64 (.f64 im im)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)))) im))) #s(literal 1/2 binary64))
	58.8%	(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) #s(approx (* (+ (* -1/3 (* im im)) -2) im) (.f64 (.f64 (.f64 im im) (neg.f64 im)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)))))) #s(literal 1/2 binary64))
	66.5%	(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
	54.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	22.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 #s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im)) im #s(literal 1 binary64)))))
	5.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
	20.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im)))))
	20.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)) (*.f64 im im))))))
	20.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))))
	39.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (.f64 (expm1.f64 (.f64 (log.f64 im) #s(literal -1 binary64))) im))) (exp.f64 im)))
	39.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) (/.f64 #s(literal 1 binary64) im)) im))) (exp.f64 im)))
	39.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) #s(literal -1 binary64)) im))) (exp.f64 im)))
	31.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓	55.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
	42.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
	55.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
	20.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) im) (.f64 (.f64 im im) im)) (.f64 im im))))
	36.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))) (+.f64 #s(literal 0 binary64) im))))
	35.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) im))))
	36.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
	36.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
✓	31.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
✓	11.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
	11.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))

Compiler

Compiled 1 165 to 950 computations (18.5% saved)

regimes90.0ms (1.8%)

Memory

29.2MiB live, 214.2MiB allocated; 22ms collecting garbage

Counts

50 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
16.0ms	im
16.0ms	re
15.0ms	(cos.f64 re)
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
99.9%	1	`(cos.f64 re)`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
99.9%	1	`re`
99.9%	1	`im`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes77.0ms (1.5%)

Memory

-1.3MiB live, 184.8MiB allocated; 20ms collecting garbage

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re (.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 #s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im)) im #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) im) (.f64 (.f64 im im) im)) (.f64 im im))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))) (+.f64 #s(literal 0 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) #s(literal -1 binary64)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) (/.f64 #s(literal 1 binary64) im)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)) (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (.f64 (expm1.f64 (.f64 (log.f64 im) #s(literal -1 binary64))) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (-.f64 (.f64 (.f64 (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 (.f64 im im) #s(literal -1/3 binary64))) im))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(approx (neg (* 2 (sinh im))) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))

Outputs
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

6 calls:

18.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
14.0ms	re
14.0ms	im
14.0ms	(cos.f64 re)
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
89.5%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
93.0%	2	`(cos.f64 re)`
93.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
98.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
92.3%	2	`re`
98.1%	3	`im`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes11.0ms (0.2%)

Memory

-14.4MiB live, 31.4MiB allocated; 2ms collecting garbage

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re (.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 #s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im)) im #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) im) (.f64 (.f64 im im) im)) (.f64 im im))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))) (+.f64 #s(literal 0 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) #s(literal -1 binary64)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) (/.f64 #s(literal 1 binary64) im)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)) (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (.f64 (expm1.f64 (.f64 (log.f64 im) #s(literal -1 binary64))) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (-.f64 (.f64 (.f64 (.f64 re re) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal -1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 re) #s(approx (* -2 (sinh im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 (.f64 im im) #s(literal -1/3 binary64))) im))) #s(literal 1/2 binary64))

Outputs

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

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* -2 (sinh im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

9.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
99.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes120.0ms (2.4%)

Memory

-31.7MiB live, 179.8MiB allocated; 104ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re (.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 #s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im)) im #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) im) (.f64 (.f64 im im) im)) (.f64 im im))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))) (+.f64 #s(literal 0 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) #s(literal -1 binary64)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx ( -2 (sinh im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) (/.f64 #s(literal 1 binary64) im)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) im)) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)) im))) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (sinh.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)) (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (.f64 (expm1.f64 (.f64 (log.f64 im) #s(literal -1 binary64))) im))) (exp.f64 im)))

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (* -2 (sinh im)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

6 calls:

55.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
19.0ms	re
15.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
13.0ms	im
8.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
66.5%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
66.5%	1	`re`
76.3%	2	`(cos.f64 re)`
76.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
68.8%	2	`im`
76.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes18.0ms (0.4%)

Memory

38.4MiB live, 38.4MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re (.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 #s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im)) im #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) im) (.f64 (.f64 im im) im)) (.f64 im im))))
(.f64 (.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im)))) (+.f64 #s(literal 0 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) #s(approx (+ (neg im) 1) (*.f64 #s(approx (- (/ 1 im) 1) #s(literal -1 binary64)) im))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 im) #s(approx (cos re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (*.f64 re (*.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))

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

Calls

3 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
75.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
75.6%	2	`(cos.f64 re)`
75.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes40.0ms (0.8%)

Memory

-38.9MiB live, 59.6MiB allocated; 18ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 re (.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (.f64 (.f64 re re) im) #s(literal 1/2 binary64) (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) #s(approx (+ (* (+ (* 1/2 im) 1) im) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 #s(approx (exp (- 0 im)) (+.f64 (neg.f64 im) #s(literal 1 binary64))) #s(approx (exp im) (fma.f64 #s(approx (+ (* 1/2 im) 1) (*.f64 #s(literal 1/2 binary64) im)) im #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) im) (.f64 (.f64 im im) im)) (.f64 im im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (fma.f64 (*.f64 re (*.f64 re im)) #s(literal 1/2 binary64) (neg.f64 im))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))

Calls

6 calls:

17.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	re
5.0ms	im
4.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
55.8%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
55.8%	1	`re`
55.8%	1	`im`
64.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
65.0%	2	`(cos.f64 re)`
65.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes6.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (-.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 im im)) (+.f64 #s(literal 0 binary64) im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (*.f64 (*.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (* 2 (sinh im))) 1/2) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
65.0%	2	`(cos.f64 re)`
65.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes14.0ms (0.3%)

Memory

-16.1MiB live, 32.8MiB allocated; 2ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) #s(approx (+ (* (* (* re re) im) 1/2) (neg im)) (*.f64 (*.f64 re (*.f64 re im)) #s(literal 1/2 binary64)))))

Calls

6 calls:

3.0ms	re
2.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
48.4%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
38.2%	1	`re`
48.4%	2	`im`
57.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
45.8%	2	`(cos.f64 re)`
45.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (/.f64 (neg.f64 (*.f64 im im)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))

Calls

1 calls:

1.0ms

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
48.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg im) (cos re)) (neg.f64 im)))

Calls

6 calls:

1.0ms	re
1.0ms	im
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
31.6%	1	`re`
31.6%	1	`(cos.f64 re)`
31.6%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
31.6%	1	`im`
31.6%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
31.6%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 25 to 30 computations (-20% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-6.633476833994845e-6

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.089042326309173e+25	+inf
0.0ms	-6.633476833994845e-6	-3.1657398924522795e-11

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03225901094896377	-0.002157723615100449

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03225901094896377	-0.002157723615100449

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03225901094896377	-0.002157723615100449

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03225901094896377	-0.002157723615100449

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	3.865618845078388e-10
0.0ms	-inf	-6.633476833994845e-6

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-6.633476833994845e-6

Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations441.0ms (8.6%)

Memory

15.7MiB live, 440.3MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 142 to 95 computations (33.1% saved)

preprocess173.0ms (3.4%)

Memory

-32.0MiB live, 345.5MiB allocated; 54ms collecting garbage

Remove

(negabs im)

(abs re)

Compiler

Compiled 1 919 to 1 702 computations (11.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample2.4s (46.9%)

preprocess65.0ms (1.3%)

series8.0ms (0.2%)

rewrite174.0ms (3.4%)

eval11.0ms (0.2%)

prune7.0ms (0.1%)

series34.0ms (0.7%)

rewrite233.0ms (4.6%)

eval35.0ms (0.7%)

prune17.0ms (0.3%)

series20.0ms (0.4%)

rewrite217.0ms (4.3%)

eval37.0ms (0.7%)

prune20.0ms (0.4%)

series450.0ms (8.8%)

rewrite299.0ms (5.9%)

eval45.0ms (0.9%)

prune37.0ms (0.7%)

regimes90.0ms (1.8%)

regimes77.0ms (1.5%)

regimes11.0ms (0.2%)

regimes120.0ms (2.4%)

regimes18.0ms (0.4%)

regimes40.0ms (0.8%)

regimes6.0ms (0.1%)

regimes14.0ms (0.3%)

regimes1.0ms (0%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations441.0ms (8.6%)

preprocess173.0ms (3.4%)

end0.0ms (0%)

Profiling