Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.1s (34.3%)

Memory

-4.0MiB live, 1 421.6MiB allocated; 279ms collecting garbage

Samples

877.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 576.0ms

ival-cos: 267.0ms (46.4% of total)

ival-exp: 148.0ms (25.7% of total)

ival-mult!: 83.0ms (14.4% of total)

ival-neg: 57.0ms (9.9% of total)

ival-add!: 20.0ms (3.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain162.0ms (4.9%)

Memory

14.2MiB live, 204.8MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 im)`
-	-	`(neg.f64 im)`
-	-	`(exp.f64 (neg.f64 im))`
-	-	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
-	-	`(cos.f64 re)`
-	-	`im`
-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
-	-	`re`
-	-	`#s(literal 1/2 binary64)`
-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

46.0ms

512×

valid

Compiler

Compiled 81 to 34 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-cos: 15.0ms (49.1% of total)

ival-exp: 7.0ms (22.9% of total)

ival-mult!: 5.0ms (16.4% of total)

ival-neg: 2.0ms (6.5% of total)

ival-add!: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

preprocess47.0ms (1.4%)

Memory

-47.1MiB live, 60.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	112	66
2	320	66
3	1222	38
4	7324	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs re)

(abs im)

Compiler

Compiled 22 to 20 computations (9.1% saved)

series9.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

10 → 40

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite220.0ms (6.6%)

Memory

12.1MiB live, 290.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	681
0	179	612
1	1020	550
0	8542	512

Stop Event

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

Counts

50 → 132

Calls

Call 1

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

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

eval17.0ms (0.5%)

Memory: -3.4MiB live, 41.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 405 to 470 computations (80.5% saved)

prune3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	4	132

Accuracy

100.0%

Counts

132 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	63.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	66.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
▶	48.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))

Compiler

Compiled 69 to 58 computations (15.9% saved)

series21.0ms (0.6%)

Memory

-17.8MiB live, 36.7MiB allocated; 10ms collecting garbage

Counts

20 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
3.0ms	re	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (* 2 (cosh im)) 2 (+ (* (* re re) -1/4) 1/2) (* re re) -1/4 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)) (+ (* im im) 2))

rewrite179.0ms (5.4%)

Memory

30.9MiB live, 302.7MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1286
0	247	1130
1	1357	1130
0	8048	1085

Stop Event

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

Counts

81 → 291

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
(fma.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 re (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 re)))
(cos.f64 (neg.f64 re))
(cos.f64 re)
(+.f64 (.f64 (sin.f64 re) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 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 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 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 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 2 binary64)) (/.f64 (cosh.f64 im) #s(literal 2 binary64)))
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (cosh.f64 im) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64))))) (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 (exp.f64 im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 (neg.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 (exp.f64 im) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (exp.f64 im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))))) (-.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (exp.f64 im)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (pow.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
(-.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 re #s(literal -1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 im im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 im im))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 im im) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 im im)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 im im)))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (.f64 #s(literal 1 binary64) (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 2 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))
(fma.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 (fabs.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.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 (*.f64 im im) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 im 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 (pow.f64 im #s(literal 4 binary64)) (-.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 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) (.f64 im im))))
(-.f64 (*.f64 im im) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 im)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 im)) (neg.f64 im)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 im) im))
(+.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.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 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 im im))))) (/.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 im im))))))
(+.f64 (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im im))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 re re))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 (cosh.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/48 binary64))) (.f64 re re))) (*.f64 re re))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
#s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) re) (/.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (*.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* 1/2 (cos re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 im im)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 im im) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 im im) (cos.f64 re)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (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 (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/12 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/12 binary64) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im))) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (* 2 (cosh im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))

eval35.0ms (1.1%)

Memory: 1.0MiB live, 47.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 317 to 1 122 computations (88% saved)

prune43.0ms (1.3%)

Memory

-40.1MiB live, 24.5MiB allocated; 22ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	273	14	287
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	276	15	291

Accuracy

100.0%

Counts

291 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	53.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	51.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	49.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	14.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	59.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	56.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
▶	66.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	48.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
▶	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (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))))
▶	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	28.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
	36.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
	33.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))

Compiler

Compiled 786 to 564 computations (28.2% saved)

series17.0ms (0.5%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Counts

30 → 82

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (+ (* 1/12 (* im im)) 1) 1/12 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4)
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (+ (* 1/12 (* im im)) 1) 1/12 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4)
2.0ms	im	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (+ (* 1/12 (* im im)) 1) 1/12 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4)
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (+ (* 1/12 (* im im)) 1) 1/12 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4)
1.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh im) im (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (+ (* (* im im) 1/24) 1/2) (* im im) 1/24 1/2 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/720 (* im im)) 1/24) 1/720 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (+ (exp (neg im)) (exp im)) (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (+ (* 1/12 (* im im)) 1) 1/12 2 (+ (* (* re re) -1/4) 1/2) (* re re) re -1/4)

rewrite156.0ms (4.7%)

Memory

1.0MiB live, 235.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	2057
0	304	1822
1	1643	1822
0	8030	1787

Stop Event

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

Counts

112 → 307

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
im
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im)))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
re
#s(literal -1/4 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/1440 binary64) (.f64 re re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 1/48 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) (.f64 re re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* re re) -1/4) 1/2) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) re) (/.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1/4 binary64))) (*.f64 re re)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))
#s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (-.f64 (.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 re re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 (.f64 im im) #s(literal 1/2 binary64)) (cos.f64 re) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 (.f64 im im) #s(literal 1/24 binary64)) (cos.f64 re) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) (cos.f64 re) (.f64 #s(literal 1/24 binary64) (cos.f64 re))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (cos.f64 re)))
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx im im)
#s(approx (* 1 (cosh im)) #s(literal 1 binary64))
#s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (* im im) 1/24) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (* im im) 1/24) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64))
#s(approx (+ (* 1/720 (* im im)) 1/24) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 im im) #s(literal 1/12 binary64)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) (.f64 im im) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (fma.f64 (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/360 binary64) (.f64 im im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/12 binary64))) (.f64 im im))) (.f64 im im) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (exp (neg im)) (exp im)) #s(literal 2 binary64))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (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 (+ (* 1/12 (* im im)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/12 (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* im im) 1/24) 1/2) (* im im)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 im #s(literal -4 binary64))) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (.f64 im im)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64)))) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
#s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (.f64 im im)))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 im im)))
#s(approx (+ (* (+ (* 1/12 (* im im)) 1) (* im im)) 2) (*.f64 (+.f64 (+.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* 1/12 (* im im)) 1) (.f64 (.f64 im im) #s(literal 1/12 binary64)))
#s(approx (+ (* 1/12 (* im im)) 1) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
#s(approx (* (+ (exp (neg im)) (exp im)) (+ (* (* re re) -1/4) 1/2)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))

eval58.0ms (1.7%)

Memory: -4.4MiB live, 135.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 18 648 to 1 950 computations (89.5% saved)

prune31.0ms (0.9%)

Memory

16.6MiB live, 58.9MiB allocated; 10ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	430	7	437
Fresh	0	9	9
Picked	3	2	5
Done	0	1	1
Total	433	19	452

Accuracy

100.0%

Counts

452 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	53.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	51.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	49.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	14.8%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
	59.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	14.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) #s(approx (+ ( (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
✓	66.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	48.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
▶	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
✓	28.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
	36.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
▶	33.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))

Compiler

Compiled 1 040 to 746 computations (28.3% saved)

series19.0ms (0.6%)

Memory

-17.3MiB live, 29.7MiB allocated; 4ms collecting garbage

Counts

41 → 120

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2))))))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 (+ 1/48 (* -1/1440 (pow re 2)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* -1/1440 (pow re 6))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (* -1/1440 (pow re 4))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* -1/1440 (pow re 4))))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 (* -1/1440 (pow re 2))))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 (* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (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) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* 1/2 im)))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* im (+ 1/2 (* 1/24 (pow im 2))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* im (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* im 1/24) #s(hole binary64 (* 1/24 im)))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow im 2)))))
#s(approx (* 1/720 im) #s(hole binary64 (* 1/720 im)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* 1/720 (pow im 6))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* 1/720 (pow im 5))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* (pow im 5) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* (pow im 5) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (* 1/720 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow im 2))))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/720 (pow im 6))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (* 1/720 (pow im 4))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 (* 1/720 (pow im 2))))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* -1 (* (pow im 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/720)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	im	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) (+ (* (* im im) 1/720) 1/24) (* im im) im 1/720 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (+ (* (* 1/720 im) im) 1/24) (* 1/720 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) (+ (* -1/1440 (* re re)) 1/48) -1/1440 1/48 1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) (+ (* (* im im) 1/720) 1/24) (* im im) im 1/720 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (+ (* (* 1/720 im) im) 1/24) (* 1/720 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) (+ (* -1/1440 (* re re)) 1/48) -1/1440 1/48 1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
3.0ms	re	@	inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) (+ (* (* im im) 1/720) 1/24) (* im im) im 1/720 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (+ (* (* 1/720 im) im) 1/24) (* 1/720 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) (+ (* -1/1440 (* re re)) 1/48) -1/1440 1/48 1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) (+ (* (* im im) 1/720) 1/24) (* im im) im 1/720 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (+ (* (* 1/720 im) im) 1/24) (* 1/720 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) (+ (* -1/1440 (* re re)) 1/48) -1/1440 1/48 1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)
2.0ms	im	@	0	((* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) (+ (* (* im im) 1/720) 1/24) (* im im) im 1/720 1/24 1/2 1 (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos re) (+ (* -1/2 (* re re)) 1) -1/2 (* re re) re (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (+ (* im (* im 1/24)) 1/2) (* im 1/24) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1 (cosh im)) (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (+ (* (* 1/720 im) im) 1/24) (* 1/720 im) (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (* 1/2 (cos re)) (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) (+ (* -1/1440 (* re re)) 1/48) -1/1440 1/48 1/4 (+ (exp (neg im)) (exp im)) (+ (* im im) 2) 2)

rewrite174.0ms (5.2%)

Memory

36.1MiB live, 224.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	2888
0	408	2685
1	1833	2685
0	8326	2637

Stop Event

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

Counts

161 → 444

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(*.f64 im im)
im
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
#s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 re re)
re
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64))
(*.f64 #s(literal 1/720 binary64) im)
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re)) #s(literal 1/4 binary64))
(.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
#s(literal -1/1440 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (+ (exp im) (exp (neg im))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* -1/4 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* 1/48 (* (pow re 2) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/4 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/48 (+ (exp im) (exp (neg im)))))))))))
#s(approx (cos re) #s(hole binary64 1))
#s(approx (cos re) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
#s(approx (cos re) #s(hole binary64 (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* 1/2 (cos re)) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow re 2)))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 -1/4))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (- (* 1/48 (pow re 2)) 1/4)))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* 1/48 (pow re 2))))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2))))))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 1/48))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 (+ 1/48 (* -1/1440 (pow re 2)))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (neg im)))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* -1/2 (pow re 2))))
#s(approx (+ (* -1/2 (* re re)) 1) #s(hole binary64 (* (pow re 2) (- (/ 1 (pow re 2)) 1/2))))
#s(approx (* 1/2 (cos re)) #s(hole binary64 (* 1/2 (cos re))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* -1/1440 (pow re 6))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))))
#s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(hole binary64 (* (pow re 6) (- (+ (* 1/48 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/1440 (/ 1/4 (pow re 4)))))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (* -1/1440 (pow re 4))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) #s(hole binary64 (* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) (+ 1/1440 (/ 1/4 (pow re 4)))))))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* -1/1440 (pow re 4))))
#s(approx (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) #s(hole binary64 (* (pow re 4) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 (* -1/1440 (pow re 2))))
#s(approx (+ (* -1/1440 (* re re)) 1/48) #s(hole binary64 (* (pow re 2) (- (* 1/48 (/ 1 (pow re 2))) 1/1440))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* 1/2 (* (pow im 2) (cos re))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (cos re))) (* 1/2 (cos re)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (cos re) (* (pow im 2) (+ (* 1/2 (cos re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (cos re))) (* 1/24 (cos re)))))))))
#s(approx (* 1 (cosh im)) #s(hole binary64 1))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (* 1 (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) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* 1/2 im)))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* im (+ 1/2 (* 1/24 (pow im 2))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* im (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (* im 1/24) #s(hole binary64 (* 1/24 im)))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* 1/2 (pow im 2)))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* 1/24 (pow im 2)))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 (+ 1/24 (* 1/720 (pow im 2)))))
#s(approx (* 1/720 im) #s(hole binary64 (* 1/720 im)))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 2))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))))
#s(approx (+ (* im im) 2) #s(hole binary64 2))
#s(approx (+ (* im im) 2) #s(hole binary64 (+ 2 (pow im 2))))
#s(approx (* 1 (cosh im)) #s(hole binary64 (* 1/2 (+ (exp im) (/ 1 (exp im))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* 1/720 (pow im 6))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) im) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* 1/720 (pow im 5))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* (pow im 5) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* (pow im 5) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (* 1/720 (pow im 4))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 (* 1/720 (pow im 2))))
#s(approx (+ (* (* im im) 1/720) 1/24) #s(hole binary64 (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/24 (pow im 4))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 (* 1/24 (pow im 2))))
#s(approx (+ (* im (* im 1/24)) 1/2) #s(hole binary64 (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* 1/720 (pow im 6))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) #s(hole binary64 (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (* 1/720 (pow im 4))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) #s(hole binary64 (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 (* 1/720 (pow im 2))))
#s(approx (+ (* (* 1/720 im) im) 1/24) #s(hole binary64 (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (neg im)))))
#s(approx (+ (* im im) 2) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) 2) #s(hole binary64 (* (pow im 2) (+ 1 (* 2 (/ 1 (pow im 2)))))))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (cos re) (+ (exp im) (exp (* -1 im)))))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) #s(hole binary64 (* -1 (* (pow im 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow im 2)))) (pow im 2))) 1/720)))))
#s(approx (+ (exp (neg im)) (exp im)) #s(hole binary64 (+ (exp im) (exp (* -1 im)))))

Outputs
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 (.f64 im im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 (.f64 im im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)))) (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 im im)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)))))) (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)))))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im)) #s(literal 1 binary64))))))
(+.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im)))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im)
(.f64 im (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) im) (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) im))) (-.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im) im)))
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#s(approx (+ (* im im) 2) #s(literal 2 binary64))
#s(approx (+ (* im im) 2) (fma.f64 im im #s(literal 2 binary64)))
#s(approx (* 1 (cosh im)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64)))) (pow.f64 im #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (* 1/720 im) im) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
#s(approx (+ (* (* 1/720 im) im) 1/24) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (.f64 im im)))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (*.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (+ (* im (* im 1/24)) 1/2) (* im im)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 im #s(literal -4 binary64))) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* im (* im 1/24)) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64)))
#s(approx (+ (* im (* im 1/24)) 1/2) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (.f64 im im)))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (pow.f64 im #s(literal -6 binary64)))) (pow.f64 im #s(literal 6 binary64))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (+ (* (+ (* (* 1/720 im) im) 1/24) (* im im)) 1/2) (*.f64 (+.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(approx (+ (* (* 1/720 im) im) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))
#s(approx (+ (* (* 1/720 im) im) 1/24) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/24 binary64) #s(literal 1/720 binary64)) (.f64 im im)))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (+ (* im im) 2) (*.f64 im im))
#s(approx (+ (* im im) 2) (.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 im im)))
#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ (* (* im im) 1/720) 1/24) (* im im)) 1/2) im) (neg.f64 (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1/24 binary64)) (.f64 im im))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 5 binary64)))))
#s(approx (+ (exp (neg im)) (exp im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))

eval82.0ms (2.5%)

Memory: -38.9MiB live, 108.8MiB allocated; 40ms collecting garbage
Compiler: Compiled 21 382 to 2 449 computations (88.5% saved)

prune32.0ms (1%)

Memory

9.3MiB live, 56.4MiB allocated; 2ms collecting garbage

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	519	8	527
Fresh	4	7	11
Picked	1	4	5
Done	0	3	3
Total	524	22	546

Accuracy

100.0%

Counts

546 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))))
	56.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
	29.0%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re)) #s(literal 1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) #s(approx (+ (* im im) 2) (*.f64 im im))))
	53.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	51.9%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	49.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (- (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) 1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	59.0%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
	14.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) #s(approx (+ ( (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))))
✓	66.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cosh.f64 im))
✓	48.5%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (cos.f64 re))
✓	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
✓	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	60.3%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(approx (+ ( (* 1/720 im) im) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))))
	57.4%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (* im im) 1/24) 1/2) (.f64 (.f64 im im) #s(literal 1/24 binary64))) (*.f64 im im) #s(literal 1 binary64))))
✓	28.1%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (* 1 (cosh im)) #s(literal 1 binary64)))
	36.9%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re)) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))))
	35.6%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))
✓	33.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))))
	9.2%	#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) #s(approx (cos re) #s(approx (+ (* -1/2 (* re re)) 1) (.f64 (.f64 re re) #s(literal -1/2 binary64)))))

Compiler

Compiled 1 688 to 682 computations (59.6% saved)

regimes52.0ms (1.6%)

Memory

-19.0MiB live, 78.8MiB allocated; 5ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes49.0ms (1.5%)

Memory

28.2MiB live, 75.1MiB allocated; 2ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
86.3%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
89.8%	2	`(cos.f64 re)`
89.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
100.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
87.8%	2	`re`
93.8%	3	`im`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
94.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes41.0ms (1.2%)

Memory

-28.7MiB live, 65.1MiB allocated; 2ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
60.3%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
62.8%	2	`re`
74.2%	2	`(cos.f64 re)`
74.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.3%	2	`im`
74.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes20.0ms (0.6%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.9%	2	`(cos.f64 re)`
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes21.0ms (0.6%)

Memory

-17.5MiB live, 30.9MiB allocated; 3ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.9%	2	`(cos.f64 re)`
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes18.0ms (0.5%)

Memory

-19.7MiB live, 27.0MiB allocated; 2ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im))) (*.f64 #s(approx (+ (exp (neg im)) (exp im)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.9%	2	`(cos.f64 re)`
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes16.0ms (0.5%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.5%	2	`(cos.f64 re)`
73.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.4%)

Memory

-28.6MiB live, 18.3MiB allocated; 1ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.6%	2	`(cos.f64 re)`
70.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes9.0ms (0.3%)

Memory

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

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
65.3%	2	`(cos.f64 re)`
65.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
52.7%	3	`im`
53.2%	2	`re`
57.2%	2	`(cos.f64 re)`
57.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
57.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes10.0ms (0.3%)

Memory

-27.9MiB live, 19.3MiB allocated; 2ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
35.3%	2	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
35.3%	2	`im`
33.2%	1	`re`
36.0%	2	`(cos.f64 re)`
36.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
36.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

regimes6.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
28.1%	1	`re`
28.1%	1	`(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
28.1%	1	`im`
28.1%	1	`(cos.f64 re)`
28.1%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
28.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`

Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9739874521571309	1.0
0.0ms	-inf	-0.9998441126727934

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9739874521571309	1.0
0.0ms	-inf	-0.9998441126727934

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02055045422335878	0.0017205788179415875

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.02055045422335878	0.0017205788179415875

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.07624108811909551	0.003441157635883175

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations504.0ms (15.2%)

Memory

21.5MiB live, 389.4MiB allocated; 119ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 976 to 119 computations (87.8% saved)

preprocess97.0ms (2.9%)

Memory

8.6MiB live, 144.4MiB allocated; 19ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 5 878 to 2 430 computations (58.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (34.3%)

explain162.0ms (4.9%)

preprocess47.0ms (1.4%)

series9.0ms (0.3%)

rewrite220.0ms (6.6%)

eval17.0ms (0.5%)

prune3.0ms (0.1%)

series21.0ms (0.6%)

rewrite179.0ms (5.4%)

eval35.0ms (1.1%)

prune43.0ms (1.3%)

series17.0ms (0.5%)

rewrite156.0ms (4.7%)

eval58.0ms (1.7%)

prune31.0ms (0.9%)

series19.0ms (0.6%)

rewrite174.0ms (5.2%)

eval82.0ms (2.5%)

prune32.0ms (1%)

regimes52.0ms (1.6%)

regimes49.0ms (1.5%)

regimes8.0ms (0.2%)

regimes41.0ms (1.2%)

regimes20.0ms (0.6%)

regimes21.0ms (0.6%)

regimes18.0ms (0.5%)

regimes16.0ms (0.5%)

regimes12.0ms (0.4%)

regimes9.0ms (0.3%)

regimes12.0ms (0.4%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

bsearch1.0ms (0%)

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%)

bsearch0.0ms (0%)

derivations504.0ms (15.2%)

preprocess97.0ms (2.9%)

end0.0ms (0%)

Profiling