Metrics for math.sin on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.7s (33.9%)

Memory

101.0MiB live, 1 418.5MiB allocated; 530ms collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 979.0ms

ival-mult!: 422.0ms (43.1% of total)

ival-sin: 396.0ms (40.5% of total)

ival-exp: 125.0ms (12.8% of total)

ival-add!: 18.0ms (1.8% of total)

ival-sub!: 16.0ms (1.6% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess79.0ms (1.6%)

Memory

-26.4MiB live, 73.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	68
1	115	54
2	477	32
3	2410	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 24 to 22 computations (8.3% saved)

series8.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Counts

11 → 37

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.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 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (- 0 im)) #s(hole binary64 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 (- 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 im) (exp (neg 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 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))

Calls

6 calls:

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

rewrite1.1s (21.1%)

Memory

-184.5MiB live, 412.9MiB allocated; 1.4s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	709
0	190	616
1	1128	593
0	8766	557

Stop Event

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

Counts

48 → 132

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.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 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (exp (- 0 im)) #s(hole binary64 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 (- 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 im) (exp (neg 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 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))
#s(approx (exp (- 0 im)) #s(hole binary64 (exp (* -1 im))))

Outputs
(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))) (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))) (-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (sin.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))))
(-.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im)))
(-.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (sin.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))))
(+.f64 (.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.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)) (expm1.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (exp.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (expm1.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))))
(+.f64 (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)))) (-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 im)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im))) (.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 im))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) (*.f64 im im))) (fma.f64 im im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) im)) im)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 im) im)) (*.f64 #s(literal 2 binary64) im))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 im) (.f64 im im))) (.f64 #s(literal 2 binary64) (fma.f64 im im #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 im) (.f64 im im))) (neg.f64 (fma.f64 im im #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (.f64 (neg.f64 im) (.f64 im im)) (fma.f64 im im #s(literal 0 binary64)))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 im)))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 im im #s(literal 0 binary64))) (/.f64 (.f64 (.f64 im im) im) (fma.f64 im im #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 im) (sinh.f64 im)) (.f64 (cosh.f64 im) (sinh.f64 im)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(+.f64 (cosh.f64 im) (sinh.f64 im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64))) (.f64 re re) (.f64 #s(literal -1/12 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))) re))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (sin re) re)
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64))) (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (exp (- 0 im)) #s(literal 1 binary64))
#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)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))

eval15.0ms (0.3%)

Memory: -12.5MiB live, 32.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 510 to 496 computations (80.2% saved)

prune5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Accuracy

100.0%

Counts

122 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
▶	100.0%	(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
▶	74.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	52.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	63.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
▶	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))

Compiler

Compiled 226 to 190 computations (15.9% saved)

series30.0ms (0.6%)

Memory

16.3MiB live, 61.6MiB allocated; 5ms collecting garbage

Counts

24 → 76

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(sin.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))

Outputs
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* -1/6 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* 1/120 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/120 (+ (exp im) (/ 1 (exp im)))))))) (/ 1 (exp im)))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* (sin re) (+ (exp im) (/ 1 (exp im))))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* 2 (sin re))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (sin re)))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* 1/12 (* (pow im 2) (sin re))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (sin re))) (* 1/12 (sin re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* 2 re)))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	im	@	0	((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
5.0ms	im	@	inf	((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
4.0ms	re	@	0	((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
4.0ms	im	@	-inf	((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))
3.0ms	re	@	inf	((* (* (sin re) (* 2 (cosh im))) 1/2) (* (sin re) (* 2 (cosh im))) (sin re) re (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2))

rewrite244.0ms (4.9%)

Memory

-12.2MiB live, 261.4MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	2130
0	404	1883
1	2476	1883
0	10505	1815

Stop Event

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

Counts

100 → 290

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(sin.f64 re)
re
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
#s(literal 2 binary64)
(cosh.f64 im)
im
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* -1/6 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* 1/120 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* re (+ (exp im) (+ (* (pow re 2) (+ (* -1/6 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/120 (+ (exp im) (/ 1 (exp im)))))))) (/ 1 (exp im)))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 re)))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* (sin re) (+ (exp im) (/ 1 (exp im))))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* 1/2 (sin re)) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (* 2 (sin re))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (sin re)))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* 1/12 (* (pow im 2) (sin re))))))))
#s(approx (* (sin re) (* 2 (cosh im))) #s(hole binary64 (+ (* 2 (sin re)) (* (pow im 2) (+ (sin re) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (sin re))) (* 1/12 (sin re)))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (cosh im) #s(hole binary64 1))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (cosh im) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* 2 re)))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* 2 (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* 1/12 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2)))))))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (+ (* 2 (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (+ 1/2 (* -1/12 (pow re 2))))) (* 1/12 (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Outputs
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (sin.f64 re) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))) (.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (sin.f64 re))
(.f64 (sin.f64 re) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 re) (exp.f64 im)) (.f64 (sin.f64 re) (exp.f64 im)) (-.f64 (.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (.f64 (.f64 (sin.f64 re) (exp.f64 im)) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 im) (sin.f64 re)) (.f64 (exp.f64 im) (sin.f64 re)) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))) (.f64 (.f64 (exp.f64 im) (sin.f64 re)) (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))))))
(fma.f64 (exp.f64 im) (sin.f64 re) (*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)))
(fma.f64 (sin.f64 re) (exp.f64 im) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (sin.f64 re) (exp.f64 im)) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (exp.f64 im) (sin.f64 re)) (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)))
(sin.f64 re)
re
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) (neg.f64 im)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 im) im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 im) im) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 im (neg.f64 im)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im (neg.f64 im)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 im im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(/.f64 (+.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (cosh.f64 im) (cosh.f64 im)))))
(/.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 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 im im)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.f64 im))))))
(fma.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(+.f64 (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))) (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im)))))
(+.f64 (/.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 im im)) (-.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 (neg.f64 im)) (exp.f64 (neg.f64 (neg.f64 im))))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (cosh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
#s(literal 2 binary64)
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
im
#s(literal 1/2 binary64)
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) re))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) re)
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) re))
(.f64 re (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 re (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 re (exp.f64 (neg.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 re (exp.f64 im)) (.f64 re (exp.f64 im)) (-.f64 (.f64 (.f64 re (exp.f64 (neg.f64 im))) (.f64 re (exp.f64 (neg.f64 im)))) (.f64 (.f64 re (exp.f64 im)) (.f64 re (exp.f64 (neg.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 im) re) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 im)) re) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 im) re) (.f64 (exp.f64 im) re) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) re) (.f64 (exp.f64 (neg.f64 im)) re)) (.f64 (.f64 (exp.f64 im) re) (.f64 (exp.f64 (neg.f64 im)) re)))))
(fma.f64 (exp.f64 im) re (*.f64 (exp.f64 (neg.f64 im)) re))
(fma.f64 re (exp.f64 im) (*.f64 re (exp.f64 (neg.f64 im))))
(+.f64 (.f64 re (exp.f64 im)) (.f64 re (exp.f64 (neg.f64 im))))
(+.f64 (.f64 (exp.f64 im) re) (.f64 (exp.f64 (neg.f64 im)) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re)
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 re (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 re (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 re (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 re (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 re (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (-.f64 (.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re) (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re)) (.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re)))))
(fma.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re))
(fma.f64 re (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 re (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 re (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re) (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
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#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/10080 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/240 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (sin re) (* 2 (cosh im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
#s(approx (* (sin re) (* 2 (cosh im))) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (exp.f64 (neg.f64 im))) (exp.f64 im)) re))
#s(approx (* (sin re) (* 2 (cosh im))) (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (*.f64 re re) (exp.f64 (neg.f64 im))) (exp.f64 im)) re))
#s(approx (* (sin re) (* 2 (cosh im))) (.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/120 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 #s(literal -1/6 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (exp.f64 (neg.f64 im))) (exp.f64 im)) re))
#s(approx (sin re) re)
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (.f64 re re) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/10080 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/240 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (.f64 re re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/12) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (sin re) (* 2 (cosh im))) (.f64 (.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (.f64 (.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (.f64 (*.f64 re re) re)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64))) (.f64 re re)))
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
#s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re)))
#s(approx (* 1/2 (sin re)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 (*.f64 re re) re))))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re) (sin.f64 re)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (fma.f64 (fma.f64 (.f64 (.f64 im im) (sin.f64 re)) #s(literal 1/24 binary64) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (sin.f64 re)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (fma.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (sin.f64 re))) (.f64 im im))) (.f64 im im) (sin.f64 re)))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (sin.f64 re) #s(literal 2 binary64)))
#s(approx (* (sin re) (* 2 (cosh im))) (*.f64 (sin.f64 re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (sin re) (* 2 (cosh im))) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/12 binary64)) (sin.f64 re) (sin.f64 re)) (.f64 im im) (.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (* (sin re) (* 2 (cosh im))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (sin.f64 re)) #s(literal 1/360 binary64) (.f64 (sin.f64 re) #s(literal 1/12 binary64))) (.f64 im im) (sin.f64 re)) (.f64 im im) (.f64 (sin.f64 re) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/24 binary64) (.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/720 binary64) (.f64 #s(literal 1/24 binary64) re)) (.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
#s(approx (* (* 2 (cosh im)) re) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) re) (fma.f64 (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/12 binary64) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* (* 2 (cosh im)) re) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) re)) (.f64 im im) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 im im) (.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 im im) (.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* (sin re) (* 2 (cosh im))) 1/2) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval39.0ms (0.8%)

Memory: 27.3MiB live, 71.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 12 820 to 1 587 computations (87.6% saved)

prune36.0ms (0.7%)

Memory

-12.0MiB live, 33.7MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	355	13	368
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	358	16	374

Accuracy

100.0%

Counts

374 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
✓	100.0%	(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
▶	74.1%	(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	52.0%	(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	50.9%	(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	38.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	47.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
	63.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
	9.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
✓	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
	47.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
▶	28.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
▶	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
	50.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))

Compiler

Compiled 790 to 611 computations (22.7% saved)

series20.0ms (0.4%)

Memory

36.4MiB live, 36.4MiB allocated; 0ms collecting garbage

Counts

36 → 88

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
(+.f64 re re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(literal 1/240 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64))
(.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)

Outputs
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 re)))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (- (* 1/240 (pow re 2)) 1/12)))
#s(approx (* 1/240 (* re re)) #s(hole binary64 (* 1/240 (pow re 2))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
#s(approx (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2))))))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 1/240))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 (+ 1/240 (* -1/10080 (pow re 2)))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* 1/240 (pow re 5))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* 1/240 (pow re 4))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1/10080 (pow re 7))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* -1/10080 (pow re 6))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (* -1/10080 (pow re 4))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 (* -1/10080 (pow re 2))))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 (* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) (+ (* -1/10080 (* re re)) 1/240) -1/10080)
4.0ms	re	@	-inf	((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) (+ (* -1/10080 (* re re)) 1/240) -1/10080)
3.0ms	re	@	0	((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) (+ (* -1/10080 (* re re)) 1/240) -1/10080)
2.0ms	im	@	inf	((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) (+ (* -1/10080 (* re re)) 1/240) -1/10080)
2.0ms	im	@	-inf	((* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (* (sin re) 1/2) (sin re) re 1/2 (+ (exp (- 0 im)) (exp im)) (+ (* im im) 2) im 2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (+ re re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (+ (* (* re re) -1/12) 1/2) (* re re) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (- (* 1/240 (* re re)) 1/12) (* 1/240 (* re re)) 1/240 1/12 (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) (+ (* -1/10080 (* re re)) 1/240) -1/10080)

rewrite271.0ms (5.4%)

Memory

-14.1MiB live, 355.9MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	2593
0	432	2360
1	2197	2360
0	9163	2318

Stop Event

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

Counts

124 → 317

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64))
#s(approx (* (* 2 (cosh im)) re) (+.f64 re re))
(+.f64 re re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(literal 1/240 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re)) #s(literal 1/12 binary64))
(.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 re)))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* -1/12 (pow re 2))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (* re (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 -1/12))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (- (* 1/240 (pow re 2)) 1/12)))
#s(approx (* 1/240 (* re re)) #s(hole binary64 (* 1/240 (pow re 2))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
#s(approx (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2))))))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 1/240))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 (+ 1/240 (* -1/10080 (pow re 2)))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (sin re) 1/2) #s(hole binary64 (* 1/2 (sin re))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (+ (* (* re re) -1/12) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* 1/240 (pow re 5))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* 1/240 (pow re 4))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (- (* 1/240 (* re re)) 1/12) #s(hole binary64 (* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1/10080 (pow re 7))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* -1/10080 (pow re 6))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (* -1/10080 (pow re 4))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) #s(hole binary64 (* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 (* -1/10080 (pow re 2))))
#s(approx (+ (* -1/10080 (* re re)) 1/240) #s(hole binary64 (* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))))
#s(approx (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) #s(hole binary64 (* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/24 (* (pow im 2) re)) (* 1/2 re))))))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (+ re (* (pow im 2) (+ (* 1/2 re) (* (pow im 2) (+ (* 1/720 (* (pow im 2) re)) (* 1/24 re))))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) re))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* 1/12 (* (pow im 2) re)))))))
#s(approx (* (* 2 (cosh im)) re) #s(hole binary64 (+ (* 2 re) (* (pow im 2) (+ re (* (pow im 2) (+ (* 1/360 (* (pow im 2) re)) (* 1/12 re))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Outputs
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
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#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 im im) (.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 (.f64 #s(literal 1/12 binary64) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 im im) (.f64 (+.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* (sin re) 1/2) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval46.0ms (0.9%)

Memory: 14.2MiB live, 110.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 15 192 to 1 860 computations (87.8% saved)

prune23.0ms (0.5%)

Memory

12.1MiB live, 57.9MiB allocated; 4ms collecting garbage

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	311	13	324
Fresh	3	6	9
Picked	2	3	5
Done	0	2	2
Total	316	24	340

Accuracy

100.0%

Counts

340 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
✓	100.0%	(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
✓	74.1%	(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	52.0%	(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	50.9%	(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	33.9%	(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	47.8%	(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	38.3%	(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	38.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	13.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	9.1%	(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
	9.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
✓	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
	47.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
	9.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (/.f64 (fma.f64 (.f64 re re) re (.f64 (.f64 re re) re)) (fma.f64 re re (-.f64 (.f64 re re) (*.f64 re re))))) #s(literal 1/2 binary64)))
✓	28.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
▶	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
▶	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
▶	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
	6.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
▶	6.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
	50.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))

Compiler

Compiled 1 399 to 1 017 computations (27.3% saved)

series84.0ms (1.7%)

Memory

2.0MiB live, 185.8MiB allocated; 27ms collecting garbage

Counts

37 → 67

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 im) re (*.f64 (exp.f64 (neg.f64 im)) re))
(exp.f64 im)
im
re
(*.f64 (exp.f64 (neg.f64 im)) re)
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))
(.f64 (.f64 re re) re)
(*.f64 re re)
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+.f64 re re)
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(*.f64 (+.f64 re re) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(log.f64 re)
#s(literal 2 binary64)

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (* re (+ (exp im) (exp (neg im))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (* re (exp (neg im)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (* (* (* re re) re) -1/6) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (* re re) re) #s(hole binary64 (pow re 3)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (+ (* re (* re -1/12)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* re (* re -1/12)) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re -1/12) #s(hole binary64 (* -1/12 re)))
#s(approx (* (* re re) -1/12) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (* (log re) 2) #s(hole binary64 (* 2 (log re))))
#s(approx (log re) #s(hole binary64 (log re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* re (* re -1/12)) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* (log re) 2) #s(hole binary64 (* -2 (log (/ 1 re)))))
#s(approx (log re) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (* -1/2 (* re (+ (* -1 (exp im)) (* -1 (exp (neg im))))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (* -1 (* re (+ (* -1 (exp im)) (* -1 (exp (neg im))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (+ re (* 1/2 (* im (+ re (* -1 re)))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (+ re (* im (+ (* 1/2 (* im re)) (* 1/2 (+ re (* -1 re))))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (+ re (* im (+ (* 1/2 (+ re (* -1 re))) (* im (+ (* 1/2 re) (* 1/2 (* im (+ (* -1/6 re) (* 1/6 re)))))))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* 2 re) (* im (+ re (* -1 re))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* 2 re) (* im (+ re (+ (* -1 re) (* im re)))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* 2 re) (* im (+ re (+ (* -1 re) (* im (+ re (* im (+ (* -1/6 re) (* 1/6 re)))))))))))
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (+ re (* -1 (* im re)))))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (+ re (* im (+ (* -1 re) (* 1/2 (* im re)))))))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (+ re (* im (+ (* -1 re) (* im (+ (* -1/6 (* im re)) (* 1/2 re))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (* 1/2 (+ (* re (exp im)) (* re (exp (neg im)))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* re (exp im)) (* re (exp (neg im))))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (* 1/2 (+ (* re (exp im)) (* re (exp (* -1 im)))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* re (exp im)) (* re (exp (* -1 im))))))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (* re (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	re	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (+ (* (exp im) re) (* (exp (neg im)) re)) (exp im) im re (* (exp (neg im)) re) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* re (* re -1/12)) 1/2)) (+ re re) (+ (* re (* re -1/12)) 1/2) (* re -1/12) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (+ (* (+ re re) (* (* re re) -1/12)) (* (+ re re) 1/2)) (* (* re re) -1/12) (* (+ re re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re) 2)
15.0ms	re	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (+ (* (exp im) re) (* (exp (neg im)) re)) (exp im) im re (* (exp (neg im)) re) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* re (* re -1/12)) 1/2)) (+ re re) (+ (* re (* re -1/12)) 1/2) (* re -1/12) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (+ (* (+ re re) (* (* re re) -1/12)) (* (+ re re) 1/2)) (* (* re re) -1/12) (* (+ re re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re) 2)
14.0ms	re	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (+ (* (exp im) re) (* (exp (neg im)) re)) (exp im) im re (* (exp (neg im)) re) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* re (* re -1/12)) 1/2)) (+ re re) (+ (* re (* re -1/12)) 1/2) (* re -1/12) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (+ (* (+ re re) (* (* re re) -1/12)) (* (+ re re) 1/2)) (* (* re re) -1/12) (* (+ re re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re) 2)
3.0ms	im	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (+ (* (exp im) re) (* (exp (neg im)) re)) (exp im) im re (* (exp (neg im)) re) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* re (* re -1/12)) 1/2)) (+ re re) (+ (* re (* re -1/12)) 1/2) (* re -1/12) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (+ (* (+ re re) (* (* re re) -1/12)) (* (+ re re) 1/2)) (* (* re re) -1/12) (* (+ re re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re) 2)
3.0ms	im	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (+ (* (exp im) re) (* (exp (neg im)) re)) (exp im) im re (* (exp (neg im)) re) (exp (neg im)) (neg im) 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* re (* re -1/12)) 1/2)) (+ re re) (+ (* re (* re -1/12)) 1/2) (* re -1/12) -1/12 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (+ (* (+ re re) (* (* re re) -1/12)) (* (+ re re) 1/2)) (* (* re re) -1/12) (* (+ re re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (* (+ re re) (+ (* (exp (* (log re) 2)) -1/12) 1/2)) (+ (* (exp (* (log re) 2)) -1/12) 1/2) (exp (* (log re) 2)) (* (log re) 2) (log re) 2)

rewrite175.0ms (3.5%)

Memory

-11.8MiB live, 336.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1914
0	364	1603
1	1987	1603
0	8328	1558

Stop Event

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

Counts

104 → 372

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 im) re (*.f64 (exp.f64 (neg.f64 im)) re))
(exp.f64 im)
im
re
(*.f64 (exp.f64 (neg.f64 im)) re)
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))
(.f64 (.f64 re re) re)
(*.f64 re re)
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(+.f64 re re)
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(*.f64 (+.f64 re re) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(*.f64 (log.f64 re) #s(literal 2 binary64))
(log.f64 re)
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* re (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (* re (+ (exp im) (exp (neg im))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (* re (exp (neg im)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (* (* (* re re) re) -1/6) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (* re re) re) #s(hole binary64 (pow re 3)))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (+ re re) #s(hole binary64 (* 2 re)))
#s(approx (+ (* re (* re -1/12)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* re (* re -1/12)) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow re 2)))))
#s(approx (* re -1/12) #s(hole binary64 (* -1/12 re)))
#s(approx (* (* re re) -1/12) #s(hole binary64 (* -1/12 (pow re 2))))
#s(approx (* (log re) 2) #s(hole binary64 (* 2 (log re))))
#s(approx (log re) #s(hole binary64 (log re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* re (* re -1/12)) 1/2) #s(hole binary64 (* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))))
#s(approx (* (log re) 2) #s(hole binary64 (* -2 (log (/ 1 re)))))
#s(approx (log re) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (* -1/2 (* re (+ (* -1 (exp im)) (* -1 (exp (neg im))))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (* -1 (* re (+ (* -1 (exp im)) (* -1 (exp (neg im))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2))) (* 1/12 (+ (exp im) (/ 1 (exp im)))))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (sin re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* 1/2 (* (pow im 2) (sin re))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (+ re (* 1/2 (* im (+ re (* -1 re)))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (+ re (* im (+ (* 1/2 (* im re)) (* 1/2 (+ re (* -1 re))))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (+ re (* im (+ (* 1/2 (+ re (* -1 re))) (* im (+ (* 1/2 re) (* 1/2 (* im (+ (* -1/6 re) (* 1/6 re)))))))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* 2 re) (* im (+ re (* -1 re))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* 2 re) (* im (+ re (+ (* -1 re) (* im re)))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* 2 re) (* im (+ re (+ (* -1 re) (* im (+ re (* im (+ (* -1/6 re) (* 1/6 re)))))))))))
#s(approx (exp im) #s(hole binary64 1))
#s(approx (exp im) #s(hole binary64 (+ 1 im)))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* 1/2 im))))))
#s(approx (exp im) #s(hole binary64 (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (+ re (* -1 (* im re)))))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (+ re (* im (+ (* -1 re) (* 1/2 (* im re)))))))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (+ re (* im (+ (* -1 re) (* im (+ (* -1/6 (* im re)) (* 1/2 re))))))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* -1 im))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* 1/2 im) 1)))))
#s(approx (exp (neg im)) #s(hole binary64 (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))))
#s(approx (neg im) #s(hole binary64 (* -1 im)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* 1/12 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* re (+ 1/2 (* -1/12 (pow re 2)))) (* (pow im 2) (+ (* 1/360 (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2)))))) (* 1/12 (* re (+ 1/2 (* -1/12 (pow re 2))))))))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (* 1/2 (+ (* re (exp im)) (* re (exp (neg im)))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* re (exp im)) (* re (exp (neg im))))))
#s(approx (exp im) #s(hole binary64 (exp im)))
#s(approx (exp (neg im)) #s(hole binary64 (exp (neg im))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(hole binary64 (* re (* (+ 1/2 (* -1/12 (pow re 2))) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) #s(hole binary64 (* 1/2 (+ (* re (exp im)) (* re (exp (* -1 im)))))))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) #s(hole binary64 (+ (* re (exp im)) (* re (exp (* -1 im))))))
#s(approx (* (exp (neg im)) re) #s(hole binary64 (* re (exp (* -1 im)))))
#s(approx (exp (neg im)) #s(hole binary64 (exp (* -1 im))))

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(.f64 (.f64 re #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
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#s(approx (log re) (log.f64 re))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re) #s(literal -1/2 binary64)))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) (.f64 (neg.f64 re) (.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (neg.f64 re) (.f64 re re)) (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 re re)) #s(literal -1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))))
#s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (neg.f64 re) (.f64 re re)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (sin.f64 re) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 im im) (sin.f64 re)) #s(literal 1/24 binary64) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (fma.f64 (sin.f64 re) #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/24 binary64) (sin.f64 re) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (sin.f64 re))) (.f64 im im))) (.f64 im im) (sin.f64 re)))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) re) im) #s(literal 1/2 binary64) re))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 re #s(literal 0 binary64)) im re)) im (.f64 (.f64 #s(literal 0 binary64) re) #s(literal 1/2 binary64))) im re))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) (fma.f64 (*.f64 #s(literal 0 binary64) re) im (+.f64 re re)))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) (fma.f64 (fma.f64 re (+.f64 #s(literal -1 binary64) im) re) im (+.f64 re re)))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) (fma.f64 (fma.f64 #s(literal 0 binary64) re (.f64 (fma.f64 (.f64 re #s(literal 0 binary64)) im re) im)) im (+.f64 re re)))
#s(approx (exp im) #s(literal 1 binary64))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (exp (neg im)) re) (fma.f64 (neg.f64 im) re re))
#s(approx (* (exp (neg im)) re) (fma.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) re (neg.f64 re)) im re))
#s(approx (* (exp (neg im)) re) (fma.f64 (fma.f64 (fma.f64 (.f64 im re) #s(literal -1/6 binary64) (.f64 re #s(literal 1/2 binary64))) im (neg.f64 re)) im re))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (neg.f64 im)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (exp (neg im)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im) #s(literal 1 binary64)) im #s(literal 1 binary64)))
#s(approx (neg im) (neg.f64 im))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) (+.f64 re re)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re) (+.f64 #s(literal 2 binary64) (.f64 im im))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))) #s(literal 1/12 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) (.f64 im im) (.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))) #s(literal 1/360 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re) #s(literal 1/12 binary64))) (.f64 im im) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re)) (.f64 im im) (.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) (+.f64 re re))))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
#s(approx (exp im) (exp.f64 im))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (sin.f64 re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp im) re) (* (exp (neg im)) re)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
#s(approx (* (exp (neg im)) re) (*.f64 (exp.f64 (neg.f64 im)) re))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))

eval31.0ms (0.6%)

Memory: -8.8MiB live, 83.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 12 309 to 1 413 computations (88.5% saved)

prune24.0ms (0.5%)

Memory

16.5MiB live, 70.3MiB allocated; 4ms collecting garbage

Pruning

25 alts after pruning (16 fresh and 9 done)

	Pruned	Kept	Total
New	251	6	257
Fresh	4	10	14
Picked	1	4	5
Done	0	5	5
Total	256	25	281

Accuracy

100.0%

Counts

281 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))
✓	100.0%	(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
✓	74.1%	(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	50.9%	(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	33.9%	(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	47.8%	(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	38.3%	(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	38.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	13.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	9.1%	(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
	9.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
✓	67.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
	47.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
✓	28.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
	52.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	44.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
✓	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
✓	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
	31.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
✓	6.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
	6.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
	6.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
	50.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))

Compiler

Compiled 2 002 to 825 computations (58.8% saved)

regimes66.0ms (1.3%)

Memory

-16.1MiB live, 174.1MiB allocated; 9ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (/.f64 (fma.f64 (.f64 re re) re (.f64 (.f64 re re) re)) (fma.f64 re re (-.f64 (.f64 re re) (*.f64 re re))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (expm1.f64 (+.f64 im im))))

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

Calls

6 calls:

11.0ms	re
11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms	im
10.0ms	(sin.f64 re)
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes59.0ms (1.2%)

Memory

24.0MiB live, 163.0MiB allocated; 4ms collecting garbage

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (/.f64 (fma.f64 (.f64 re re) re (.f64 (.f64 re re) re)) (fma.f64 re re (-.f64 (.f64 re re) (*.f64 re re))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))) re))

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

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

Calls

6 calls:

10.0ms	im
10.0ms	(sin.f64 re)
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
9.0ms	re
9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
91.9%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
89.5%	3	`(sin.f64 re)`
89.5%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
99.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
88.5%	2	`re`
94.2%	3	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

-15.0MiB live, 35.2MiB allocated; 3ms collecting garbage

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (.f64 (exp.f64 (neg.f64 im)) re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (/.f64 (fma.f64 (.f64 re re) re (.f64 (.f64 re re) re)) (fma.f64 re re (-.f64 (.f64 re re) (*.f64 re re))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))) re))

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
98.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes48.0ms (1%)

Memory

-7.8MiB live, 132.4MiB allocated; 4ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (log.f64 (.f64 re re))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) re) re) #s(literal 1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) re))

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

Calls

6 calls:

9.0ms	(sin.f64 re)
8.0ms	re
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
8.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
75.8%	2	`(sin.f64 re)`
75.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
67.7%	1	`re`
67.7%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
67.7%	1	`im`
75.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes25.0ms (0.5%)

Memory

16.6MiB live, 63.0MiB allocated; 10ms collecting garbage

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 re re) #s(literal -1/12 binary64)))) re))

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

Calls

3 calls:

11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	(sin.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
75.8%	2	`(sin.f64 re)`
75.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
75.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes34.0ms (0.7%)

Memory

-12.9MiB live, 72.0MiB allocated; 17ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) re) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (- (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) 1/12) (* re re)) 1/2) re) (*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (fma.f64 re #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) re) re) re))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))

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

Calls

3 calls:

16.0ms	(sin.f64 re)
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
74.7%	2	`(sin.f64 re)`
74.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
74.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes58.0ms (1.2%)

Memory

-11.5MiB live, 86.9MiB allocated; 37ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( (sin re) 1/2) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (+.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64)))) re))

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(approx (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Calls

6 calls:

26.0ms	re
14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms	(sin.f64 re)
5.0ms	im
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
53.7%	2	`re`
50.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
52.6%	2	`im`
59.1%	2	`(sin.f64 re)`
59.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
58.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (sin re) re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (+.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (* (exp (neg im)) re)) 1/2) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 im re (.f64 #s(literal 0 binary64) re))) im re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))

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

Calls

3 calls:

4.0ms	(sin.f64 re)
4.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
55.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
55.6%	2	`(sin.f64 re)`
55.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes7.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.6%	2	`(sin.f64 re)`
55.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
55.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes12.0ms (0.2%)

Memory

-22.9MiB live, 25.7MiB allocated; 4ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) #s(approx (* (+ re re) (+ (* (* re re) -1/12) 1/2)) (*.f64 (*.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))

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

Calls

6 calls:

4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms	re
1.0ms	(sin.f64 re)
1.0ms	im

Results

Accuracy	Segments	Branch
31.6%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
31.6%	2	`im`
31.7%	2	`re`
32.7%	2	`(sin.f64 re)`
32.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
32.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB 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 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) re) (+.f64 re re)) #s(literal 1/2 binary64)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
28.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
28.0%	1	`im`
28.0%	1	`re`
28.0%	1	`(sin.f64 re)`
28.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
28.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9992640263245796	1.3676923412683592e+73
0.0ms	-inf	-0.9965593923527328

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9992640263245796	1.3676923412683592e+73
0.0ms	-inf	-0.9965593923527328

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.09447231064836362	0.11709380541705557

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	-0.054602323389567324	9.884247561906972e-303

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	-0.054602323389567324	9.884247561906972e-303

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	0.00040431018357586513	0.011739247363751022

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	-0.013480333760948409	2.7538888830374097e-308

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.054602323389567324	9.884247561906972e-303

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.054602323389567324	9.884247561906972e-303

Compiler

Compiled 15 to 16 computations (-6.7% saved)

derivations561.0ms (11.2%)

Memory

-10.6MiB live, 581.8MiB allocated; 125ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 778 to 118 computations (84.8% saved)

preprocess215.0ms (4.3%)

Memory

46.2MiB live, 325.8MiB allocated; 52ms collecting garbage

Remove

(negabs re)

(abs im)

Compiler

Compiled 5 390 to 2 609 computations (51.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (33.9%)

preprocess79.0ms (1.6%)

series8.0ms (0.2%)

rewrite1.1s (21.1%)

eval15.0ms (0.3%)

prune5.0ms (0.1%)

series30.0ms (0.6%)

rewrite244.0ms (4.9%)

eval39.0ms (0.8%)

prune36.0ms (0.7%)

series20.0ms (0.4%)

rewrite271.0ms (5.4%)

eval46.0ms (0.9%)

prune23.0ms (0.5%)

series84.0ms (1.7%)

rewrite175.0ms (3.5%)

eval31.0ms (0.6%)

prune24.0ms (0.5%)

regimes66.0ms (1.3%)

regimes59.0ms (1.2%)

regimes12.0ms (0.2%)

regimes48.0ms (1%)

regimes25.0ms (0.5%)

regimes34.0ms (0.7%)

regimes58.0ms (1.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations561.0ms (11.2%)

preprocess215.0ms (4.3%)

end0.0ms (0%)

Profiling