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

0.9MiB live, 0.9MiB 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)

sample1.2s (32%)

Memory

-8.0MiB live, 1 406.8MiB allocated; 354ms collecting garbage

Samples

838.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-sin: 231.0ms (44.1% of total)

ival-exp: 145.0ms (27.7% of total)

ival-mult!: 102.0ms (19.5% of total)

ival-add!: 24.0ms (4.6% of total)

ival-sub!: 21.0ms (4% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess48.0ms (1.3%)

Memory

-6.0MiB live, 88.7MiB allocated; 6ms 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 22 to 22 computations (0% saved)

series9.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

11 → 40

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 re #s(hole binary64 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 (* 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)))
#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))
#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	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))
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))

rewrite169.0ms (4.6%)

Memory

30.1MiB live, 252.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	731
0	193	635
1	1131	612
0	8452	576

Stop Event

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

Counts

51 → 129

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

eval19.0ms (0.5%)

Memory: -22.7MiB live, 31.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 219 to 486 computations (60.1% saved)

prune3.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	3	119

Accuracy

100.0%

Counts

119 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	#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))
▶	64.5%	#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)))
▶	49.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))

Status

Accuracy

Program

▶

64.8%

#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))

▶

64.5%

#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)))

▶

49.1%

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

Compiler

Compiled 52 to 52 computations (0% saved)

series28.0ms (0.8%)

Memory

-23.9MiB live, 68.6MiB allocated; 8ms collecting garbage

Counts

17 → 61

Calls

Call 1

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

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 (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 re #s(hole binary64 re))
#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 (* (* (* 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 (* (* 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)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))))
#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 (* (* 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 (* (* (* 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 (* (* 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 (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 re))
#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)) #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 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 (cosh im) #s(hole binary64 (* 1/2 (+ (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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) re (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 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)
4.0ms	re	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) re (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 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)
4.0ms	re	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) re (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 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)
4.0ms	im	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) re (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 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)
3.0ms	re	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) re (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 2 (cosh im)) re) (* 2 (cosh im)) 2 (cosh im) im 1/2 (* (* 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)

rewrite269.0ms (7.4%)

Memory

-2.8MiB live, 268.4MiB allocated; 153ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	284	1630
0	299	1444
1	1807	1444
0	8534	1392

Stop Event

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

Counts

78 → 223

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(sin.f64 re)
re
#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 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 re #s(literal 1/2 binary64)))
(.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))
(*.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 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)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (exp.f64 (+.f64 im (neg.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 (-.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)) (-.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 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))))
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(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 re re)))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/12 binary64)
#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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.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))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/12 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/10080 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/240 binary64))) (.f64 re re))) (.f64 re re))) 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 re re)
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) re))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #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)) (.f64 (cosh.f64 im) #s(literal 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)) (+ (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 (sin re) (sin.f64 re))
#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 (* (* (* 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 (* (* 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 (.f64 im im) #s(literal 1/2 binary64)) (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 (* (* (* 2 (cosh im)) re) 1/2) re)
#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 re #s(literal 1/2 binary64))) (.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 re #s(literal 1/2 binary64))) (.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 #s(literal 1/360 binary64) (.f64 (.f64 im im) re) (.f64 #s(literal 1/12 binary64) re)) (.f64 im im) re) (*.f64 im im) (+.f64 re re)))
#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (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 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 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)) #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 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)) #s(literal 1/360 binary64) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 1/12 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 (* (* 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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (cosh im) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 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 (* (* 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)))

eval33.0ms (0.9%)

Memory: -33.1MiB live, 66.9MiB allocated; 18ms collecting garbage
Compiler: Compiled 3 856 to 1 254 computations (67.5% saved)

prune9.0ms (0.3%)

Memory

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

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	244	7	251
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	245	9	254

Accuracy

100.0%

Counts

254 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.5%	#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)))
▶	51.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
✓	49.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	14.3%	#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 (.f64 (.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 binary64))))
▶	50.3%	#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)))
▶	26.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
	34.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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)))
▶	34.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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)))
▶	32.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))

Compiler

Compiled 355 to 343 computations (3.4% saved)

series26.0ms (0.7%)

Memory

10.0MiB live, 54.5MiB allocated; 6ms collecting garbage

Counts

33 → 91

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	re	@	-inf	((* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) im 2 (+ (* (* re re) -1/12) 1/2) (* re re) re -1/12 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) -1/6 1 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* (* im im) re) 1/2) re) (* (* im im) re) (* im im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (- (* 1/120 (* re re)) 1/6) (* 1/120 (* re re)) 1/120 1/6)
4.0ms	re	@	inf	((* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) im 2 (+ (* (* re re) -1/12) 1/2) (* re re) re -1/12 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) -1/6 1 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* (* im im) re) 1/2) re) (* (* im im) re) (* im im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (- (* 1/120 (* re re)) 1/6) (* 1/120 (* re re)) 1/120 1/6)
4.0ms	re	@	0	((* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) im 2 (+ (* (* re re) -1/12) 1/2) (* re re) re -1/12 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) -1/6 1 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* (* im im) re) 1/2) re) (* (* im im) re) (* im im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (- (* 1/120 (* re re)) 1/6) (* 1/120 (* re re)) 1/120 1/6)
3.0ms	im	@	inf	((* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) im 2 (+ (* (* re re) -1/12) 1/2) (* re re) re -1/12 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) -1/6 1 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* (* im im) re) 1/2) re) (* (* im im) re) (* im im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (- (* 1/120 (* re re)) 1/6) (* 1/120 (* re re)) 1/120 1/6)
3.0ms	im	@	-inf	((* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) im 2 (+ (* (* re re) -1/12) 1/2) (* re re) re -1/12 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) -1/6 1 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* (* im im) re) 1/2) re) (* (* im im) re) (* im im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (- (* 1/120 (* re re)) 1/6) (* 1/120 (* re re)) 1/120 1/6)

rewrite162.0ms (4.4%)

Memory

-1.8MiB live, 232.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	2395
0	385	2165
1	1989	2165
0	8311	2128

Stop Event

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

Counts

124 → 282

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) re)
(.f64 #s(approx ( 2 (cosh im)) (fma.f64 im 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)) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 re re) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (-.f64 (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))) (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))))))))
(fma.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
(fma.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (.f64 #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) #s(approx ( 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 im im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 im im))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) #s(literal 8 binary64))) (neg.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 2 binary64) (.f64 im im))))))
(/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 4 binary64)) (-.f64 (.f64 im im) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) (.f64 im im))) (-.f64 #s(literal 2 binary64) (.f64 im im)))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) #s(literal 8 binary64)) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 2 binary64) (.f64 im im)))))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 im) (fabs.f64 im) #s(literal 2 binary64))
(fma.f64 (neg.f64 im) (neg.f64 im) #s(literal 2 binary64))
(fma.f64 im im #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 (.f64 im im) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 im im))) (/.f64 (.f64 (.f64 im im) (.f64 im im)) (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 2 binary64) (.f64 im im))))) (/.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal 2 binary64) (*.f64 im im))))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
im
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/12 binary64) (.f64 re re)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/12 binary64) (.f64 re re)) (.f64 #s(literal 1/12 binary64) (.f64 re re)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 re re))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (.f64 re re) #s(literal -1/12 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (.f64 re re) #s(literal -1/12 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal -1/1728 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (.f64 re re) #s(literal -1/12 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/12 binary64)))))))
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#s(approx (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (.f64 re re))) (/.f64 #s(literal 1/6 binary64) (.f64 re re)))) (.f64 (.f64 re re) (.f64 re re))))
#s(approx (- (* 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64)))
#s(approx (- (* 1/120 (* re re)) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 re re))) (*.f64 re re)))
#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 (* (+ (* -1/6 (* re re)) 1) re) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) re))))
#s(approx (+ (* (* (* im im) re) 1/2) re) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (pow.f64 re #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* 1/120 (* re re)) 1/6) (* re re)) 1) re) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 re re)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 re re) (*.f64 re re)))) (pow.f64 re #s(literal 5 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))) (fma.f64 (.f64 (.f64 im im) (sin.f64 re)) #s(literal 1/2 binary64) (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 (* (* (* 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) #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)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (.f64 #s(literal 2 binary64) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)) #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))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (.f64 #s(literal 2 binary64) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)) #s(literal 1/360 binary64) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 1/12 binary64))) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 im im))))
#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 #s(literal 1/12 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 #s(literal 1/360 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx im im)
#s(approx (* (* (* 2 (cosh im)) re) 1/2) re)
#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 #s(literal 1/24 binary64) (.f64 (.f64 im im) re) (.f64 re #s(literal 1/2 binary64))) (.f64 im im) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 im im) re) (.f64 #s(literal 1/24 binary64) re)) (.f64 re #s(literal 1/2 binary64))) (.f64 im im) re))
#s(approx (+ (* (* (* im im) re) 1/2) re) re)
#s(approx (+ (* (* (* im im) re) 1/2) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (* im im) (*.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 (* (* 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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (fma.f64 re #s(literal 1/2 binary64) (/.f64 re (.f64 im im))) (*.f64 im im)))
#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)))

eval32.0ms (0.9%)

Memory: 2.9MiB live, 59.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 3 849 to 1 561 computations (59.4% saved)

prune32.0ms (0.9%)

Memory

-17.7MiB live, 28.9MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	270	13	283
Fresh	1	1	2
Picked	2	3	5
Done	0	2	2
Total	273	19	292

Accuracy

100.0%

Counts

292 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.5%	#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)))
	12.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
	39.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
▶	28.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
▶	14.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #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)))) re))
✓	49.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
✓	50.3%	#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)))
▶	45.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re)))
	27.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
✓	26.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
	34.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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)))
✓	34.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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)))
▶	32.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
	34.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
	32.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) re)))
	11.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
	21.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #s(literal -1/6 binary64))) re)))
▶	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))

Compiler

Compiled 824 to 792 computations (3.9% saved)

series31.0ms (0.9%)

Memory

-4.4MiB live, 42.0MiB allocated; 3ms collecting garbage

Counts

37 → 97

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re)))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re))
(fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re)
(.f64 im (.f64 im re))
im
(*.f64 im re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.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 (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)
(fma.f64 (*.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) re)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
(.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(literal -1/12 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 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(.f64 #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)))) 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))))
(.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
#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 (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 (pow im 2))))))
#s(approx (* im (* im re)) #s(hole binary64 (* (pow im 2) re)))
#s(approx (* im re) #s(hole binary64 (* im re)))
#s(approx re #s(hole binary64 re))
#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 (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #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 (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 (+ 1 (* -1/6 (pow re 2)))))
#s(approx (* -1/6 re) #s(hole binary64 (* -1/6 re)))
#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 (* (* 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) -1/12) (* (cosh im) 2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* re re) -1/12) #s(hole binary64 (* -1/12 (pow re 2))))
#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 (sin re) #s(hole binary64 (sin re)))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 (* -1/6 (pow re 2))))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/6))))
#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 (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (* -1 (* re (- (* -1/2 (pow im 2)) 1)))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#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 (* (* 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 (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 re))
#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 (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx im #s(hole binary64 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 (* (* 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 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (* -1/6 (pow re 2))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (+ (* -1/6 (pow re 2)) (* -1/12 (* (pow im 2) (pow re 2))))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (+ (* -1/6 (pow re 2)) (* (pow im 2) (+ (* -1/12 (pow re 2)) (* -1/144 (* (pow im 2) (pow re 2))))))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (+ (* -1/6 (pow re 2)) (* (pow im 2) (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* -1/144 (pow re 2)) (* -1/4320 (* (pow im 2) (pow re 2))))))))))
#s(approx (* (cosh im) 2) #s(hole binary64 2))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* (cosh im) 2) #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 (* im re)) 1/2) re) #s(hole binary64 (* 1/2 (* (pow im 2) re))))
#s(approx (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (* (pow im 2) (+ (* 1/2 re) (/ re (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 (* (* 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 (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	im	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* im (* im re)) 1/2) re) (* im (* im re)) im (* im re) re 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (* -1/6 re) re) 1) re) (+ (* (* -1/6 re) re) 1) (* -1/6 re) 1 (* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) (* im im) (+ (* (* re re) -1/12) 1/2) -1/12 (* (* 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) (* (cosh im) 2)) (* (* re re) -1/12) (* (cosh im) 2) (cosh im) 2)
5.0ms	re	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* im (* im re)) 1/2) re) (* im (* im re)) im (* im re) re 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (* -1/6 re) re) 1) re) (+ (* (* -1/6 re) re) 1) (* -1/6 re) 1 (* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) (* im im) (+ (* (* re re) -1/12) 1/2) -1/12 (* (* 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) (* (cosh im) 2)) (* (* re re) -1/12) (* (cosh im) 2) (cosh im) 2)
5.0ms	re	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* im (* im re)) 1/2) re) (* im (* im re)) im (* im re) re 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (* -1/6 re) re) 1) re) (+ (* (* -1/6 re) re) 1) (* -1/6 re) 1 (* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) (* im im) (+ (* (* re re) -1/12) 1/2) -1/12 (* (* 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) (* (cosh im) 2)) (* (* re re) -1/12) (* (cosh im) 2) (cosh im) 2)
4.0ms	im	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* im (* im re)) 1/2) re) (* im (* im re)) im (* im re) re 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (* -1/6 re) re) 1) re) (+ (* (* -1/6 re) re) 1) (* -1/6 re) 1 (* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) (* im im) (+ (* (* re re) -1/12) 1/2) -1/12 (* (* 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) (* (cosh im) 2)) (* (* re re) -1/12) (* (cosh im) 2) (cosh im) 2)
4.0ms	re	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* (* 2 (cosh im)) re) 1/2) (+ (* (* im (* im re)) 1/2) re) (* im (* im re)) im (* im re) re 1/2 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* -1/6 (* re re)) 1) re) (* (* (* re re) re) -1/6) (* (* re re) re) (* re re) -1/6 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (* -1/6 re) re) 1) re) (+ (* (* -1/6 re) re) 1) (* -1/6 re) 1 (* (* 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)) (* 2 (cosh im)) (+ (* im im) 2) (* im im) (+ (* (* re re) -1/12) 1/2) -1/12 (* (* 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) (* (cosh im) 2)) (* (* re re) -1/12) (* (cosh im) 2) (cosh im) 2)

rewrite185.0ms (5.1%)

Memory

50.3MiB live, 274.9MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	2491
0	407	2249
1	2111	2249
0	8820	2180

Stop Event

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

Counts

134 → 299

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re)))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re))
(fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re)
(.f64 im (.f64 im re))
im
(*.f64 im re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.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 (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)
(fma.f64 (*.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) re)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
(.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (*.f64 im im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
(*.f64 im im)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(literal -1/12 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 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
(.f64 #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)))) 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))))
(.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 re re) #s(literal -1/12 binary64))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(cosh.f64 im)
#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 (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 (* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))))
#s(approx (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 (pow im 2))))))
#s(approx (* im (* im re)) #s(hole binary64 (* (pow im 2) re)))
#s(approx (* im re) #s(hole binary64 (* im re)))
#s(approx re #s(hole binary64 re))
#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 (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #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 (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 1))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 (+ 1 (* -1/6 (pow re 2)))))
#s(approx (* -1/6 re) #s(hole binary64 (* -1/6 re)))
#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 (* (* 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) -1/12) (* (cosh im) 2)) #s(hole binary64 (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))
#s(approx (* (* re re) -1/12) #s(hole binary64 (* -1/12 (pow re 2))))
#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 (sin re) #s(hole binary64 (sin re)))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* -1/6 (pow re 3))))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* (pow re 3) (- (/ 1 (pow re 2)) 1/6))))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 (* -1/6 (pow re 2))))
#s(approx (+ (* (* -1/6 re) re) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/6))))
#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 (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (* -1 (* re (- (* -1/2 (pow im 2)) 1)))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#s(approx (* (+ (* (* -1/6 re) re) 1) re) #s(hole binary64 (* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))))
#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 (* (* 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 (* (* (* 2 (cosh im)) re) 1/2) #s(hole binary64 re))
#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 (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (+ re (* 1/2 (* (pow im 2) re)))))
#s(approx im #s(hole binary64 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 (* (* 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 2))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* 2 (cosh im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (* -1/6 (pow re 2))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (+ (* -1/6 (pow re 2)) (* -1/12 (* (pow im 2) (pow re 2))))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (+ (* -1/6 (pow re 2)) (* (pow im 2) (+ (* -1/12 (pow re 2)) (* -1/144 (* (pow im 2) (pow re 2))))))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) #s(hole binary64 (+ (* -1/6 (pow re 2)) (* (pow im 2) (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ (* -1/144 (pow re 2)) (* -1/4320 (* (pow im 2) (pow re 2))))))))))
#s(approx (* (cosh im) 2) #s(hole binary64 2))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (* (cosh im) 2) #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 (* im re)) 1/2) re) #s(hole binary64 (* 1/2 (* (pow im 2) re))))
#s(approx (+ (* (* im (* im re)) 1/2) re) #s(hole binary64 (* (pow im 2) (+ (* 1/2 re) (/ re (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 (* (* 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 (* 2 (cosh im)) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (cosh im) 2) #s(hole binary64 (+ (exp im) (/ 1 (exp im)))))
#s(approx (cosh im) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))))

Outputs
#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 (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re))
(/.f64 (-.f64 (.f64 (.f64 re re) re) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) re)) #s(literal 3 binary64))) (fma.f64 re re (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) re)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 im im) re)) (.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (.f64 re re))) (neg.f64 (-.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) re)))
(/.f64 (neg.f64 (-.f64 (.f64 re re) (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 re (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 im im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 re re) re))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) re)))))
(/.f64 (neg.f64 (fma.f64 (.f64 re re) re (.f64 (pow.f64 (.f64 (.f64 im im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 re re (-.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (.f64 re (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (.f64 re re)) (-.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) re))
(/.f64 (-.f64 (.f64 re re) (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)))) (-.f64 re (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 im im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (.f64 re re) re)) (fma.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) re))))
(/.f64 (fma.f64 (.f64 re re) re (.f64 (pow.f64 (.f64 (.f64 im im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 re re (-.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (.f64 re (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re)
(fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) re re)
(fma.f64 im (.f64 (.f64 im re) #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) re) re)
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) re)) (/.f64 (.f64 re re) (-.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) re)))
(-.f64 (/.f64 (.f64 re re) (-.f64 re (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (-.f64 re (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)))))
(-.f64 re (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 im im) re)))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 im im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) re)))) (/.f64 (.f64 (.f64 re re) re) (fma.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (-.f64 (.f64 re re) (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) re)))))
(+.f64 (/.f64 (.f64 (.f64 re re) re) (fma.f64 re re (-.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (.f64 re (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 (.f64 (.f64 im im) re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 re re (-.f64 (.f64 (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64))) (.f64 re (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) re)
(+.f64 re (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))
(.f64 (.f64 im im) re)
(.f64 (.f64 im re) im)
(.f64 im (.f64 im re))
(.f64 re (.f64 im im))
im
(*.f64 im re)
(*.f64 re im)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.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) (*.f64 #s(literal -1/6 binary64) re))
(.f64 #s(literal -1/6 binary64) (.f64 (*.f64 re re) re))
(*.f64 (fabs.f64 (pow.f64 re #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 re #s(literal 3/2 binary64))) (neg.f64 (pow.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))
(.f64 (.f64 re re) re)
(.f64 re (.f64 re re))
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 3/2 binary64))
(pow.f64 re #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)
(.f64 re (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (.f64 (.f64 re #s(literal 1 binary64)) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)) (.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))))
(fma.f64 #s(literal 1 binary64) re (.f64 (.f64 (*.f64 re re) #s(literal -1/6 binary64)) re))
(fma.f64 re #s(literal 1 binary64) (.f64 re (.f64 (*.f64 re re) #s(literal -1/6 binary64))))
(+.f64 (.f64 re #s(literal 1 binary64)) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (.f64 #s(literal 1/6 binary64) (.f64 re re)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 re re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/6 binary64)))))))
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(/.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 (/.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 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)) (-.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 (/.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 (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)))
(*.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)))
#s(literal 2 binary64)
#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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.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 (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/12 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) (.f64 re re) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.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 #s(literal -1/12 binary64) (.f64 (cosh.f64 im) #s(literal 2 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) 1/2) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* im (* im re)) 1/2) re) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (* im (* im re)) (.f64 (.f64 im im) re))
#s(approx (* im re) (*.f64 im re))
#s(approx re re)
#s(approx (sin re) re)
#s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) 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 (* (+ (* -1/6 (* re re)) 1) re) re)
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re))
#s(approx (* (* (* re re) re) -1/6) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
#s(approx (* (* re re) re) (.f64 (.f64 re re) re))
#s(approx (* re re) (*.f64 re re))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) re)
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re))
#s(approx (+ (* (* -1/6 re) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/6 re) re) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)))
#s(approx (* -1/6 re) (*.f64 #s(literal -1/6 binary64) re))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (.f64 (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) re) #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)) (.f64 (cosh.f64 im) #s(literal 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) -1/12) (* (cosh im) 2)) (.f64 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* re re) -1/12) (.f64 (.f64 re re) #s(literal -1/12 binary64)))
#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 (sin re) (sin.f64 re))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 (.f64 re re) re)))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (.f64 (.f64 re re) re)))
#s(approx (+ (* (* -1/6 re) re) 1) (.f64 (.f64 re re) #s(literal -1/6 binary64)))
#s(approx (+ (* (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re)))
#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 #s(literal -1/12 binary64) (.f64 (cosh.f64 im) #s(literal 2 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 #s(literal -1/12 binary64) (.f64 (cosh.f64 im) #s(literal 2 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 (+ (* (* im (* im re)) 1/2) re) (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 im im)) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) re))))
#s(approx (* (+ (* -1/6 (* re re)) 1) re) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re))) (.f64 (.f64 re re) re))))
#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 (* (* 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 (.f64 im im) (sin.f64 re)) #s(literal 1/2 binary64) (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 (* (* (* 2 (cosh im)) re) 1/2) re)
#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 #s(literal 1/24 binary64) (.f64 (.f64 im im) re) (.f64 re #s(literal 1/2 binary64))) (.f64 im im) re))
#s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (fma.f64 (.f64 im im) (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 im im) re) (.f64 #s(literal 1/24 binary64) re)) (.f64 re #s(literal 1/2 binary64))) (.f64 im im) re))
#s(approx (+ (* (* im (* im re)) 1/2) re) re)
#s(approx (+ (* (* im (* im re)) 1/2) re) (fma.f64 (.f64 (.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx 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)) re) #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)) re) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (.f64 #s(literal 2 binary64) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)) #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))))
#s(approx (* (* (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) re) (fma.f64 (.f64 #s(literal 2 binary64) re) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)) #s(literal 1/360 binary64) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #s(literal 1/12 binary64))) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (.f64 im im))))
#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 #s(literal 1/12 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 #s(literal 1/360 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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 (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 im im)) (.f64 re re) (.f64 (*.f64 re re) #s(literal -1/6 binary64))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (fma.f64 (fma.f64 (.f64 #s(literal -1/144 binary64) (.f64 im im)) (.f64 re re) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/6 binary64))))
#s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/4320 binary64) (.f64 im im)) (.f64 re re) (.f64 #s(literal -1/144 binary64) (.f64 re re))) (.f64 im im) (.f64 (.f64 re re) #s(literal -1/12 binary64))) (.f64 im im) (.f64 (*.f64 re re) #s(literal -1/6 binary64))))
#s(approx (* 2 (cosh im)) #s(literal 2 binary64))
#s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (* 2 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (cosh im) #s(literal 1 binary64))
#s(approx (cosh im) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (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 re)) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* im (* im re)) 1/2) re) (.f64 (fma.f64 re #s(literal 1/2 binary64) (/.f64 re (.f64 im im))) (*.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 (* (* 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 (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (* 2 (cosh im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (cosh im) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 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)))

eval49.0ms (1.4%)

Memory: -40.5MiB live, 69.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 489 to 1 628 computations (53.3% saved)

prune46.0ms (1.3%)

Memory

-11.6MiB live, 35.3MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	267	9	276
Fresh	4	5	9
Picked	1	4	5
Done	0	5	5
Total	272	23	295

Accuracy

100.0%

Counts

295 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.5%	#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)))
	39.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
	12.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64)))) re))
	27.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
✓	14.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #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)))) re))
	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
	28.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))
✓	49.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
✓	50.3%	#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)))
✓	45.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 im re)) #s(literal 1/2 binary64) re)))
✓	26.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
	34.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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)))
✓	34.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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)))
✓	32.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
	34.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
	32.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) re)))
	11.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
	21.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (pow.f64 (.f64 re re) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))
✓	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))
	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
	9.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))

Compiler

Compiled 912 to 768 computations (15.8% saved)

regimes106.0ms (2.9%)

Memory

48.1MiB live, 131.0MiB allocated; 31ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #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))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (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 (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 (* (* 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))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (pow.f64 (.f64 re re) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) 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 (.f64 (.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 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 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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 (.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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

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

Calls

6 calls:

44.0ms	re
26.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	(sin.f64 re)
9.0ms	im
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
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 25 to 30 computations (-20% saved)

regimes117.0ms (3.2%)

Memory

-24.5MiB live, 165.7MiB allocated; 82ms collecting garbage

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #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))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (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 (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 (* (* 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))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (pow.f64 (.f64 re re) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) 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 (.f64 (.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 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 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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 (.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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 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) (.f64 (.f64 (.f64 (.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 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 (.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))) #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 (* (* 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

6 calls:

37.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
23.0ms	im
19.0ms	re
18.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
87.9%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
79.6%	3	`(sin.f64 re)`
79.6%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
99.7%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
76.6%	2	`re`
90.2%	3	`im`

Compiler

Compiled 25 to 30 computations (-20% saved)

regimes44.0ms (1.2%)

Memory

28.6MiB live, 78.1MiB allocated; 5ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #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))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (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 (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 (* (* 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))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (pow.f64 (.f64 re re) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) 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 (.f64 (.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 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 (.f64 (.f64 re re) #s(literal -1/12 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #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 (.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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1 binary64)) (.f64 im im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 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) (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal -1/12 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

5 calls:

12.0ms	im
8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms	(sin.f64 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)))
6.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
77.4%	2	`(sin.f64 re)`
77.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
64.8%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
68.8%	3	`im`
77.4%	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 24 to 28 computations (-16.7% saved)

regimes30.0ms (0.8%)

Memory

2.6MiB live, 48.6MiB allocated; 3ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #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))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (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 (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 (* (* 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))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (pow.f64 (.f64 re re) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (exp.f64 (.f64 (log.f64 re) #s(literal 3 binary64))) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64))) re) #s(literal -1/6 binary64)))))

Outputs

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

4 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)))
7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	re
7.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
64.5%	1	`re`
75.6%	2	`(sin.f64 re)`
75.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
75.6%	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 21 computations (-16.7% saved)

regimes131.0ms (3.6%)

Memory

-47.6MiB live, 50.4MiB allocated; 42ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) #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))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (* -1/6 re) re) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) #s(literal 1/6 binary64)) (*.f64 re re))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) (fma.f64 im im #s(literal 2 binary64))) (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 (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)))

Outputs

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

Calls

6 calls:

63.0ms	(.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))
6.0ms	(sin.f64 re)
6.0ms	re
6.0ms	im

Results

Accuracy	Segments	Branch
53.6%	2	`re`
51.4%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
53.7%	2	`im`
61.4%	2	`(sin.f64 re)`
61.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
61.4%	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 25 to 30 computations (-20% saved)

regimes17.0ms (0.5%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im 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))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (- ( 1/120 (* re re)) 1/6) (.f64 (.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (.f64 (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 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.3%	2	`(sin.f64 re)`
61.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
61.3%	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 17 to 19 computations (-11.8% saved)

regimes16.0ms (0.4%)

Memory

-21.5MiB live, 25.7MiB allocated; 10ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 re re) (*.f64 #s(literal -1/6 binary64) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 (.f64 re re) #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) #s(approx (+ (* (* (* im im) re) 1/2) re) (.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (* 2 (cosh im)) (+ (* (* re re) -1/12) 1/2)) #s(approx (* (* (* re re) -1/12) (* (cosh im) 2)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (* 2 (cosh im)) #s(approx (+ (* im im) 2) (.f64 im im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) (fma.f64 (.f64 im (.f64 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) 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 (sin re) (.f64 #s(approx (+ ( (- (* 1/120 (* re re)) 1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (*.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:

8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms	(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
57.6%	2	`(sin.f64 re)`
57.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
57.6%	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 17 to 19 computations (-11.8% saved)

regimes10.0ms (0.3%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(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
52.5%	2	`(sin.f64 re)`
52.5%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
57.4%	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 17 to 19 computations (-11.8% saved)

regimes3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (*.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) re))

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

Calls

1 calls:

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
57.6%	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 11 to 11 computations (0% saved)

regimes13.0ms (0.4%)

Memory

-20.3MiB live, 24.7MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (*.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) re))

Calls

6 calls:

4.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	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
33.3%	2	`(sin.f64 re)`
33.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
32.1%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
32.2%	2	`re`
32.1%	2	`im`
33.3%	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 25 to 30 computations (-20% saved)

regimes6.0ms (0.2%)

Memory

21.1MiB live, 21.1MiB 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))) #s(approx (* (* (* 2 (cosh im)) re) 1/2) re))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
26.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
26.0%	1	`im`
26.0%	1	`re`
26.0%	1	`(sin.f64 re)`
26.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
26.0%	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 25 to 30 computations (-20% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9997986220663949	+inf
0.0ms	-inf	-0.9989481168469877

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840371506354502	1.348871742076202e-285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840371506354502	1.348871742076202e-285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840371506354502	1.348871742076202e-285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06381224841549264	-0.00840371506354502

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840371506354502	1.348871742076202e-285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.548137192144127e-10	0.022088716380049906

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9997986220663949	+inf
0.0ms	-0.00840371506354502	1.348871742076202e-285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00840371506354502	1.348871742076202e-285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations410.0ms (11.3%)

Memory

-12.2MiB live, 275.4MiB allocated; 29ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 172 to 114 computations (33.7% saved)

preprocess420.0ms (11.5%)

Memory

-1.1MiB live, 324.3MiB allocated; 44ms collecting garbage

Remove

(negabs re)

(abs im)

Compiler

Compiled 3 377 to 2 803 computations (17% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (32%)

preprocess48.0ms (1.3%)

series9.0ms (0.2%)

rewrite169.0ms (4.6%)

eval19.0ms (0.5%)

prune3.0ms (0.1%)

series28.0ms (0.8%)

rewrite269.0ms (7.4%)

eval33.0ms (0.9%)

prune9.0ms (0.3%)

series26.0ms (0.7%)

rewrite162.0ms (4.4%)

eval32.0ms (0.9%)

prune32.0ms (0.9%)

series31.0ms (0.9%)

rewrite185.0ms (5.1%)

eval49.0ms (1.4%)

prune46.0ms (1.3%)

regimes106.0ms (2.9%)

regimes117.0ms (3.2%)

regimes44.0ms (1.2%)

regimes30.0ms (0.8%)

regimes131.0ms (3.6%)

regimes17.0ms (0.5%)

regimes16.0ms (0.4%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

regimes13.0ms (0.4%)

regimes6.0ms (0.2%)

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%)

derivations410.0ms (11.3%)

preprocess420.0ms (11.5%)

end0.0ms (0%)

Profiling