Metrics for math.cos on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (49.4%)

Memory

61.2MiB live, 1 064.7MiB allocated; 726ms collecting garbage

Samples

971.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 768.0ms

ival-cos: 465.0ms (60.6% of total)

ival-exp: 111.0ms (14.5% of total)

ival-mult: 107.0ms (13.9% of total)

ival-add: 37.0ms (4.8% of total)

ival-neg: 36.0ms (4.7% of total)

exact: 7.0ms (0.9% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 2.0ms (0.3% of total)

Bogosity

explain127.0ms (5%)

Memory

34.1MiB live, 168.1MiB allocated; 25ms 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

51.0ms

512×

valid

Compiler

Compiled 81 to 34 computations (58% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 16.0ms (46.1% of total)

ival-exp: 7.0ms (20.2% of total)

ival-mult: 6.0ms (17.3% of total)

ival-add: 2.0ms (5.8% of total)

ival-neg: 2.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess246.0ms (9.8%)

Memory

-23.6MiB live, 234.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	112	66
2	320	66
3	1222	38
4	7324	38
0	10	11
0	17	11
1	44	11
2	127	11
3	534	11
4	2638	5
0	8386	5

Stop Event

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

Calls

Call 1

Inputs
(.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)))
(*.f64 (cosh.f64 im) (cos.f64 re))

Symmetry

(abs re)

(abs im)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

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)))

Compiler

Compiled 11 to 10 computations (9.1% saved)

series22.0ms (0.9%)

Memory

-20.0MiB live, 23.4MiB allocated; 9ms 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
9.0ms	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))
3.0ms	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))
3.0ms	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))
3.0ms	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))
2.0ms	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))

rewrite236.0ms (9.4%)

Memory

18.7MiB live, 211.1MiB allocated; 34ms 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))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.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 #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)))
(+.f64 (cosh.f64 im) (sinh.f64 im))
(exp.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)))

eval15.0ms (0.6%)

Memory: -24.3MiB live, 21.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 405 to 470 computations (80.5% saved)

prune117.0ms (4.7%)

Memory

36.1MiB live, 135.4MiB allocated; 13ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Accuracy

100.0%

Counts

132 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 #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)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Status

Accuracy

Program

▶

99.8%

(*.f64 (*.f64 #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)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

✓

100.0%

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

Compiler

Compiled 34 to 28 computations (17.6% saved)

series37.0ms (1.5%)

Memory

-28.6MiB live, 17.3MiB allocated; 4ms collecting garbage

Counts

18 → 55

Calls

Call 1

Inputs
(.f64 (.f64 #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)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 #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))))))
#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 re)
re
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 re) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 re)
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.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 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp im) (exp (neg im)))))))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (* re (* (cos (* 1/2 (PI))) (+ (exp im) (exp (neg im)))))) (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp im) (exp (neg im))))))))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp im) (exp (neg im))))) (* re (+ (* -1/4 (* re (* (sin (* 1/2 (PI))) (+ (exp im) (exp (neg im)))))) (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp im) (exp (neg im))))))))))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (sin (* 1/2 (PI))) (+ (exp im) (exp (neg im))))) (* re (+ (* 1/2 (* (cos (* 1/2 (PI))) (+ (exp im) (exp (neg im))))) (* re (+ (* -1/4 (* (sin (* 1/2 (PI))) (+ (exp im) (exp (neg im))))) (* -1/12 (* re (* (cos (* 1/2 (PI))) (+ (exp im) (exp (neg im)))))))))))))
#s(approx (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) #s(hole binary64 (* 1/2 (sin (* 1/2 (PI))))))
#s(approx (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* 1/2 (* re (cos (* 1/2 (PI))))))))
#s(approx (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* re (+ (* -1/4 (* re (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))))
#s(approx (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* 1/2 (sin (* 1/2 (PI)))) (* re (+ (* 1/2 (cos (* 1/2 (PI)))) (* re (+ (* -1/4 (sin (* 1/2 (PI)))) (* -1/12 (* re (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* re (cos (* 1/2 (PI)))))))
#s(approx (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* re (+ (cos (* 1/2 (PI))) (* -1/2 (* re (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* re (+ (cos (* 1/2 (PI))) (* re (+ (* -1/2 (sin (* 1/2 (PI)))) (* -1/6 (* re (cos (* 1/2 (PI))))))))))))
#s(approx (sin re) #s(hole binary64 re))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* -1/6 (pow re 2))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))))
#s(approx (sin re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (cos re) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos re) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* (pow re 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos re) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow re 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/24 (* (pow re 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos re) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow re 2) (+ (* -1/2 (sin (* 1/2 (PI)))) (* (pow re 2) (+ (* -1/720 (* (pow re 2) (sin (* 1/2 (PI))))) (* 1/24 (sin (* 1/2 (PI)))))))))))
#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 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (+ (exp im) (exp (neg im))) (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re)))))))
#s(approx (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) #s(hole binary64 (* 1/2 (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re))))))
#s(approx (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re)))))
#s(approx (sin re) #s(hole binary64 (sin re)))
#s(approx (* (cos re) (sin (/ (PI) 2))) #s(hole binary64 (* (cos re) (sin (* 1/2 (PI))))))
#s(approx (cos re) #s(hole binary64 (cos re)))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re)))))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* 1/2 (* (pow im 2) (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re))))) (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re))))))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* (cos re) (sin (* 1/2 (PI)))) (+ (* (cos (* 1/2 (PI))) (sin re)) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re))))) (* 1/2 (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re))))))))))
#s(approx (* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (+ (* (cos re) (sin (* 1/2 (PI)))) (+ (* (cos (* 1/2 (PI))) (sin re)) (* (pow im 2) (+ (* 1/2 (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re)))) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re))))) (* 1/24 (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin 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 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) #s(hole binary64 (* 1/2 (* (+ (exp im) (exp (* -1 im))) (+ (* (cos re) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin re)))))))
#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
24.0ms	re	@	inf	((* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) (sin re) re (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos re) (sin (/ (PI) 2))) (cos re) (sin (/ (PI) 2)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
3.0ms	re	@	0	((* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) (sin re) re (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos re) (sin (/ (PI) 2))) (cos re) (sin (/ (PI) 2)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
3.0ms	im	@	inf	((* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) (sin re) re (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos re) (sin (/ (PI) 2))) (cos re) (sin (/ (PI) 2)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
3.0ms	re	@	-inf	((* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) (sin re) re (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos re) (sin (/ (PI) 2))) (cos re) (sin (/ (PI) 2)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
2.0ms	im	@	-inf	((* (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) (+ (exp (neg im)) (exp im))) (* 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2))))) 1/2 (+ (* (sin re) (cos (/ (PI) 2))) (* (cos re) (sin (/ (PI) 2)))) (sin re) re (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos re) (sin (/ (PI) 2))) (cos re) (sin (/ (PI) 2)) (+ (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))

rewrite188.0ms (7.5%)

Memory

20.5MiB live, 160.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1512
0	278	1139
1	1601	1013
0	8361	949

Stop Event

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

Counts

73 → 175

Calls

Call 1

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

eval21.0ms (0.8%)

Memory: -8.6MiB live, 36.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 163 to 731 computations (85.8% saved)

prune227.0ms (9%)

Memory

-0.5MiB live, 192.6MiB allocated; 33ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	2	161

Accuracy

100.0%

Counts

161 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 #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)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Status

Accuracy

Program

✓

99.8%

(*.f64 (*.f64 #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)))))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

✓

100.0%

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes7.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-2892.8%)

Threshold costs -0.1b (-2892.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

(*.f64 (*.f64 #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)))))) (+.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:

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

simplify9.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	15	11
2	16	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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)))

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess20.0ms (0.8%)

Memory

-21.0MiB live, 23.4MiB allocated; 5ms collecting garbage

Remove

(abs im)

(abs re)

Compiler

Compiled 132 to 120 computations (9.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (49.4%)

explain127.0ms (5%)

preprocess246.0ms (9.8%)

eval0.0ms (0%)

prune1.0ms (0%)

series22.0ms (0.9%)

rewrite236.0ms (9.4%)

eval15.0ms (0.6%)

prune117.0ms (4.7%)

series37.0ms (1.5%)

rewrite188.0ms (7.5%)

eval21.0ms (0.8%)

prune227.0ms (9%)

regimes7.0ms (0.3%)

simplify9.0ms (0.3%)

derivations0.0ms (0%)

preprocess20.0ms (0.8%)

end0.0ms (0%)

Profiling