Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample3.3s (36.1%)

Memory

-54.9MiB live, 3 760.3MiB allocated; 1.3s collecting garbage

Samples

1.4s	1 637×	2	valid
918.0ms	2 311×	1	valid
567.0ms	4 308×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-exp: 1.1s (45.5% of total)

ival-sub: 530.0ms (21.3% of total)

ival-mult: 402.0ms (16.1% of total)

ival-cos: 242.0ms (9.7% of total)

adjust: 165.0ms (6.6% of total)

exact: 10.0ms (0.4% of total)

ival-true: 7.0ms (0.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain215.0ms (2.4%)

Memory

-16.1MiB live, 407.5MiB allocated; 56ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
141	-	-	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
0	-	-	`(exp.f64 im)`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`(cos.f64 re)`
0	-	-	`im`
0	-	-	`(-.f64 #s(literal 0 binary64) im)`
0	-	-	`re`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`	cancellation	141	0

Confusion

	Predicted +	Predicted -
+	141	0
-	0	115

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	0	0	115

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	115
1	141

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	130×	2	valid
32.0ms	146×	1	valid
28.0ms	236×	0	valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-exp: 59.0ms (55.4% of total)

ival-cos: 17.0ms (16% of total)

adjust: 14.0ms (13.1% of total)

ival-mult: 8.0ms (7.5% of total)

ival-sub: 6.0ms (5.6% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess149.0ms (1.7%)

Memory

-5.2MiB live, 235.4MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	95	55
2	221	55
3	660	55
4	3553	28
0	11	12
0	18	11
1	38	11
2	73	11
3	206	11
4	878	6
0	9277	6

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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

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

Symmetry

(abs re)

(negabs im)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify116.0ms (1.3%)

Memory

17.8MiB live, 153.7MiB allocated; 27ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	1	(-.f64 #s(literal 0 binary64) im)
cost-diff	1	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
cost-diff	4	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	38	34
2	73	34
3	206	34
4	878	28
0	9277	28

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.1%)

Memory

-19.6MiB live, 129.7MiB allocated; 21ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	32.46636344408786	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

40.0ms	118×	0	valid
34.0ms	65×	2	valid
16.0ms	73×	1	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 28.0ms (57% of total)

adjust: 8.0ms (16.3% of total)

ival-cos: 6.0ms (12.2% of total)

ival-mult: 4.0ms (8.1% of total)

ival-sub: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Counts

6 → 31

Calls

Call 1

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

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))

Calls

6 calls:

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

simplify164.0ms (1.8%)

Memory

24.5MiB live, 301.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	381
1	387	349
2	1339	342
3	4642	321
0	8097	294

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1 im)
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))

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

rewrite95.0ms (1.1%)

Memory

-30.9MiB live, 119.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	18	27
1	64	27
0	445	27

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 41

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.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 im) (exp.f64 (neg.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 (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.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 im) (exp.f64 (neg.f64 im))))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))))
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(-.f64 (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (cosh.f64 im) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (neg.f64 (*.f64 im (neg.f64 im))) (neg.f64 im))
(/.f64 (neg.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64)))) (*.f64 im (neg.f64 im)))
(/.f64 (*.f64 im (neg.f64 im)) im)
(/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 im im))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 im im)))
(-.f64 #s(literal 0 binary64) im)
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(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)))))
(/.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)))))
(exp.f64 im)
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval8.0ms (0.1%)

Memory: 20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 424 to 304 computations (78.7% saved)

prune10.0ms (0.1%)

Memory

-27.7MiB live, 17.2MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Accuracy

99.9%

Counts

71 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
▶	92.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	90.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	83.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	38.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	34.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
▶	57.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
▶	83.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))

Compiler

Compiled 366 to 292 computations (20.2% saved)

simplify145.0ms (1.6%)

Memory

21.1MiB live, 255.1MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
cost-diff	3	(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
cost-diff	0	(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(neg.f64 (cos.f64 re))
cost-diff	0	(*.f64 (neg.f64 (cos.f64 re)) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	394
0	83	382
1	158	381
2	374	381
3	1127	379
4	4910	379
0	8117	379

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(cos.f64 re)
re
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
#s(literal 1/6 binary64)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(cosh.f64 im)
(sinh.f64 im)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im)
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re))
(cos.f64 re)
re
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
#s(literal 1/6 binary64)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
(sinh.f64 (neg.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(cosh.f64 im)
(sinh.f64 im)

localize561.0ms (6.2%)

Memory

35.3MiB live, 728.6MiB allocated; 269ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 re)
accuracy	0.01171875	(sinh.f64 im)
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
accuracy	32.43782307494621	(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
accuracy	0.0	(cos.f64 re)
accuracy	0.046875	(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
accuracy	0.0859375	(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
accuracy	10.341665554117867	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
accuracy	0.0546875	(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.140625	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	6.0065197804089205	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	0.0	(neg.f64 (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.1015625	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	27.478584712187192	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.0859375	(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
accuracy	0.09765625	(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
accuracy	0.1171875	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
accuracy	4.977092531210412	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

222.0ms	73×	1	valid
181.0ms	65×	2	valid
55.0ms	118×	0	valid

Compiler

Compiled 314 to 48 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 316.0ms

ival-sub: 131.0ms (41.4% of total)

ival-exp: 47.0ms (14.9% of total)

adjust: 40.0ms (12.7% of total)

ival-mult: 35.0ms (11.1% of total)

const: 30.0ms (9.5% of total)

ival-cosh: 11.0ms (3.5% of total)

ival-cos: 7.0ms (2.2% of total)

ival-add: 5.0ms (1.6% of total)

ival-neg: 4.0ms (1.3% of total)

ival-pow: 3.0ms (0.9% of total)

ival-sinh: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series33.0ms (0.4%)

Memory

18.9MiB live, 64.4MiB allocated; 5ms collecting garbage

Counts

21 → 78

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(sinh.f64 im)

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(* -1 (+ im (* 1/6 (pow im 3))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* 1/2 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ im (* 1/6 (pow im 3))))) (* 1/2 (+ im (* 1/6 (pow im 3)))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* 1/2 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (+ im (* 1/6 (pow im 3)))) (* 1/720 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))))))
(* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))) (* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))))
(+ (* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))) (* 1/48 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1 (cos re))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* 1/2 (* (cos re) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/2520 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(- (exp (neg im)) (exp im))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(- (exp (neg im)) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* 1/6 (pow im 3))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(- (exp (* -1 im)) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (neg (+ (* 1/6 (pow im 3)) im)) (- (exp (neg im)) (cosh im)) (* (* 1/2 (cos re)) (- (- (exp (neg im)) (cosh im)) (sinh im))) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* (- (* -1/2520 (* im im)) 1/60) im) (* -1/60 (* im im)) (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) (+ (* 1/6 (pow im 3)) im) (sinh im))
6.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (neg (+ (* 1/6 (pow im 3)) im)) (- (exp (neg im)) (cosh im)) (* (* 1/2 (cos re)) (- (- (exp (neg im)) (cosh im)) (sinh im))) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* (- (* -1/2520 (* im im)) 1/60) im) (* -1/60 (* im im)) (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) (+ (* 1/6 (pow im 3)) im) (sinh im))
6.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (neg (+ (* 1/6 (pow im 3)) im)) (- (exp (neg im)) (cosh im)) (* (* 1/2 (cos re)) (- (- (exp (neg im)) (cosh im)) (sinh im))) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* (- (* -1/2520 (* im im)) 1/60) im) (* -1/60 (* im im)) (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) (+ (* 1/6 (pow im 3)) im) (sinh im))
5.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (neg (+ (* 1/6 (pow im 3)) im)) (- (exp (neg im)) (cosh im)) (* (* 1/2 (cos re)) (- (- (exp (neg im)) (cosh im)) (sinh im))) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* (- (* -1/2520 (* im im)) 1/60) im) (* -1/60 (* im im)) (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) (+ (* 1/6 (pow im 3)) im) (sinh im))
4.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (neg (+ (* 1/6 (pow im 3)) im)) (- (exp (neg im)) (cosh im)) (* (* 1/2 (cos re)) (- (- (exp (neg im)) (cosh im)) (sinh im))) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (* (- (* -1/2520 (* im im)) 1/60) im) (* -1/60 (* im im)) (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) (+ (* 1/6 (pow im 3)) im) (sinh im))

simplify154.0ms (1.7%)

Memory

-2.1MiB live, 234.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	1181
1	879	1040
2	3575	1015
0	8291	947

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(* -1 (+ im (* 1/6 (pow im 3))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* 1/2 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ im (* 1/6 (pow im 3))))) (* 1/2 (+ im (* 1/6 (pow im 3)))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* 1/2 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (+ im (* 1/6 (pow im 3)))) (* 1/720 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))))))
(* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))) (* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))))))
(+ (* 1/2 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im)))))))) (* 1/48 (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1 (cos re))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* 1/2 (* (cos re) (- (exp (neg im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1/2520 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
-2
(- (* -1/3 (pow im 2)) 2)
(- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* 1/120 (pow im 2))))))
(* im (+ 1 (* (pow im 2) (+ 1/6 (* (pow im 2) (+ 1/120 (* 1/5040 (pow im 2))))))))
(- (exp (neg im)) (exp im))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(- (exp (neg im)) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 4))
(* -1 (* (pow im 4) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 4) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* 1/6 (pow im 3))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* 1/2 (- (exp im) (/ 1 (exp im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(- (exp (* -1 im)) (* 1/2 (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (- (exp im) (/ 1 (exp im))))))))

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

rewrite89.0ms (1%)

Memory

-3.6MiB live, 82.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	252
0	83	243
1	290	242
0	2036	242

Stop Event

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

Counts

21 → 158

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(sinh.f64 im)

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(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)))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 re) (neg.f64 im)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 im (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(neg.f64 (*.f64 im (cos.f64 re)))
(neg.f64 (cos.f64 re))
(sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (.f64 (sin.f64 re) (sin.f64 (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (PI.f64) re)))
(cos.f64 (+.f64 (neg.f64 re) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (PI.f64) re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
(neg.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (cos.f64 re)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (.f64 (cos.f64 re) (neg.f64 im)))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (neg.f64 im)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 im im) (.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im))) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im)) (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))
(fma.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/6 binary64) (neg.f64 im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))
(fma.f64 #s(literal 1/6 binary64) (neg.f64 (pow.f64 im #s(literal 3 binary64))) (neg.f64 im))
(-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) #s(literal 0 binary64)) im)
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 im))
(+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (*.f64 (exp.f64 im) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64))) (fma.f64 (cosh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (cosh.f64 im) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))))
(-.f64 (cosh.f64 im) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im))
(+.f64 (cosh.f64 im) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (fma.f64 (sinh.f64 im) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) (pow.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/2520 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/2520 binary64)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/2520 binary64)))
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 im (.f64 #s(literal -1/2520 binary64) im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 im im))
(.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)))
(.f64 im (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) (.f64 im im)) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im)
(.f64 im (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) im) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) im) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/60 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/60 binary64)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/60 binary64)))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/60 binary64))
(.f64 im (.f64 #s(literal -1/60 binary64) im))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) (*.f64 im #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (fabs.f64 im)) (fabs.f64 im) #s(literal -2 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (neg.f64 im)) (neg.f64 im) #s(literal -2 binary64))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im #s(literal -2 binary64))
(fma.f64 (fabs.f64 im) (.f64 (fabs.f64 im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) #s(literal -2 binary64))
(fma.f64 im (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) #s(literal -2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64))))
(-.f64 #s(literal -2 binary64) (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im)) im))
(-.f64 #s(literal -2 binary64) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))) (.f64 im im)))
(-.f64 #s(literal -2 binary64) (.f64 (.f64 im (neg.f64 im)) (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im))
(/.f64 (-.f64 (.f64 im im) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im))) (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) im im)
(fma.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 im im) im)
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im)
(fma.f64 im (.f64 (.f64 im im) #s(literal 1/6 binary64)) im)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)) (/.f64 (.f64 im im) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)))
(-.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)
(+.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(sinh.f64 im)
(-.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))

eval36.0ms (0.4%)

Memory: 16.9MiB live, 61.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 9 027 to 1 217 computations (86.5% saved)

prune78.0ms (0.9%)

Memory

-6.0MiB live, 51.6MiB allocated; 86ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	274	18	292
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	279	21	300

Accuracy

99.9%

Counts

300 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	92.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	61.8%	(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.6%	(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	39.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
	58.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	57.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	38.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	56.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
▶	34.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
✓	57.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	44.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
	33.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
	83.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
	44.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 #s(approx (+ ( 1/6 (pow im 3)) im) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))))))
	44.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) #s(approx (neg (+ ( 1/6 (pow im 3)) im)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	41.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
▶	34.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	44.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 re) (/.f64 (/.f64 (cos.f64 re) im) im)))))

Compiler

Compiled 1 206 to 911 computations (24.5% saved)

simplify117.0ms (1.3%)

Memory

-36.9MiB live, 204.3MiB allocated; 31ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
cost-diff	1	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(neg.f64 im)
cost-diff	0	#s(approx (* (neg (cos re)) im) (neg.f64 im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	524
0	97	516
1	177	516
2	353	516
3	845	516
4	2108	505
0	9007	505

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
(-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal -2 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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im)
(-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64))
(-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
(*.f64 #s(literal -1/2520 binary64) im)
#s(literal -1/2520 binary64)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 im im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal 1/3 binary64)
#s(literal -2 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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#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 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im)
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im)
(-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64))
(-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 1/2 binary64)

localize301.0ms (3.3%)

Memory

33.8MiB live, 703.3MiB allocated; 40ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	23.117952224591402	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
accuracy	32.46636344408786	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.09765625	(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
accuracy	0.1171875	(.f64 #s(literal -1/2520 binary64) (.f64 im im))
accuracy	4.977092531210412	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	30.150397103660776	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.0625	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.140625	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	6.0065197804089205	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.38436782004175	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0.0	(neg.f64 im)
accuracy	27.478584712187192	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	28.18607226790962	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	0.0859375	(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
accuracy	0.09765625	(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
accuracy	0.125	(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
accuracy	4.977092531210412	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

99.0ms	65×	2	valid
67.0ms	73×	1	valid
52.0ms	118×	0	valid

Compiler

Compiled 380 to 51 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult: 53.0ms (30.2% of total)

ival-exp: 46.0ms (26.2% of total)

adjust: 28.0ms (16% of total)

const: 18.0ms (10.3% of total)

ival-sub: 13.0ms (7.4% of total)

ival-add: 8.0ms (4.6% of total)

ival-cos: 6.0ms (3.4% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series20.0ms (0.2%)

Memory

-22.6MiB live, 26.1MiB allocated; 8ms collecting garbage

Counts

27 → 59

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(exp.f64 im)

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(pow re 2)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/2520 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(exp (neg im))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(exp (* -1 im))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (exp (neg im)) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im) (* (- (* (* -1/2520 im) im) 1/60) im) (* -1/60 (* im im)) (- (exp (- 0 im)) (exp im)) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (exp im))
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (exp (neg im)) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im) (* (- (* (* -1/2520 im) im) 1/60) im) (* -1/60 (* im im)) (- (exp (- 0 im)) (exp im)) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (exp im))
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (exp (neg im)) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im) (* (- (* (* -1/2520 im) im) 1/60) im) (* -1/60 (* im im)) (- (exp (- 0 im)) (exp im)) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (exp im))
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (exp (neg im)) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im) (* (- (* (* -1/2520 im) im) 1/60) im) (* -1/60 (* im im)) (- (exp (- 0 im)) (exp im)) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (exp im))
1.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* -1/60 (* im im)) 1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (exp (neg im)) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im) (* (- (* (* -1/2520 im) im) 1/60) im) (* -1/60 (* im im)) (- (exp (- 0 im)) (exp im)) (* -1/2520 (* im im)) (* (* (- (* -1/2520 (* im im)) 1/60) im) im) (exp im))

simplify162.0ms (1.8%)

Memory

-10.7MiB live, 178.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	659
1	628	623
2	2310	607
3	7054	607
0	8191	560

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(pow re 2)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(cos re)
(* -1 (* im (cos re)))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1/2520 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* -1/60 im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(exp (neg im))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 3))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(exp im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(exp (* -1 im))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(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))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64) (-.f64 (.f64 #s(literal 1/48 binary64) (.f64 re re)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 (.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(pow re 2)
(*.f64 re re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1/4 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (.f64 (cos.f64 re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* -1/6 (pow im 2)) 1))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(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))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im)
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
(+ 1 im)
(-.f64 im #s(literal -1 binary64))
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 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))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 5 binary64)))
(exp (neg im))
(exp.f64 (neg.f64 im))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* -1/2520 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (+.f64 (/.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal -1/2520 binary64)) (pow.f64 im #s(literal 3 binary64)))
(exp im)
(exp.f64 im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(.f64 (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite105.0ms (1.2%)

Memory

29.7MiB live, 117.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	343
0	97	335
1	332	335
0	1738	335

Stop Event

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

Counts

27 → 162

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im)
(.f64 #s(literal -1/60 binary64) (.f64 im im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)
(exp.f64 im)

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (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 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(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)))))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(/.f64 (neg.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64)))) (*.f64 im (neg.f64 im)))
(/.f64 (*.f64 im (neg.f64 im)) im)
(/.f64 (neg.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 im im))
(/.f64 (*.f64 im im) (neg.f64 im))
(neg.f64 im)
(-.f64 (/.f64 #s(literal 0 binary64) im) (/.f64 (*.f64 im im) im))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 im im)) (/.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 im im)))
(-.f64 #s(literal 0 binary64) im)
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 im (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) #s(literal 4 binary64)) im) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 3 binary64))) im) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal -2 binary64)))
(/.f64 (.f64 im (+.f64 #s(literal -8 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 3 binary64)))) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))
(fma.f64 #s(literal -2 binary64) im (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im) im))
(fma.f64 im (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) (*.f64 im #s(literal -2 binary64)))
(fma.f64 im #s(literal -2 binary64) (.f64 im (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) im) im)))
(+.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) im) (.f64 #s(literal -2 binary64) im))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) im))
(+.f64 (.f64 im (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (.f64 im #s(literal -2 binary64)))
(+.f64 (.f64 im #s(literal -2 binary64)) (.f64 im (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(approx ( 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 #s(literal -1/4 binary64) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 #s(literal -1/4 binary64) re)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/8 binary64)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.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 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(neg.f64 (*.f64 re (neg.f64 re)))
(fabs.f64 (*.f64 re re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(/.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 im) (exp.f64 (neg.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 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.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 im) (exp.f64 (neg.f64 im))))
(/.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))))
(-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(-.f64 (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(-.f64 (cosh.f64 im) (+.f64 (sinh.f64 im) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+.f64 (cosh.f64 im) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64)))))
(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 (.f64 (cosh.f64 im) (cosh.f64 im)) (.f64 (sinh.f64 im) (sinh.f64 im))) (exp.f64 im))
(/.f64 (-.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (pow.f64 (sinh.f64 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))
(exp.f64 (neg.f64 im))
(+.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(.f64 (.f64 #s(literal -1/2520 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/2520 binary64)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/2520 binary64)))
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 im (.f64 #s(literal -1/2520 binary64) im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 im im))
(.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)))
(.f64 im (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) (.f64 im im)) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im)
(.f64 im (-.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) im) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) im) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64))) (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64))) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal -1/60 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/60 binary64) im) im)
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/60 binary64)))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/60 binary64)))
(.f64 (.f64 im im) #s(literal -1/60 binary64))
(.f64 im (.f64 #s(literal -1/60 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (.f64 #s(literal -1/2520 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal -1/2520 binary64)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal -1/2520 binary64)))
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 im (.f64 #s(literal -1/2520 binary64) im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) (.f64 im im))
(.f64 (.f64 im im) (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)))
(.f64 im (.f64 (-.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 1/60 binary64)) im))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (.f64 im im)) (fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 im im) #s(literal -1/2520 binary64)) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) (.f64 im im)) (+.f64 (fma.f64 (.f64 im im) #s(literal -1/151200 binary64) #s(literal 1/3600 binary64)) (pow.f64 (.f64 (*.f64 im im) #s(literal -1/2520 binary64)) #s(literal 2 binary64))))
(/.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)))))
(exp.f64 im)
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval29.0ms (0.3%)

Memory: 12.9MiB live, 58.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 271 to 1 029 computations (85.8% saved)

prune29.0ms (0.3%)

Memory

7.0MiB live, 58.6MiB allocated; 11ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	193	12	205
Fresh	2	13	15
Picked	3	2	5
Done	0	1	1
Total	198	28	226

Accuracy

99.9%

Counts

226 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	49.9%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	16.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	39.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
	57.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
▶	58.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	38.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	56.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
✓	34.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	33.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	83.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
✓	57.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	44.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
	33.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
▶	83.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
	44.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 #s(approx (+ ( 1/6 (pow im 3)) im) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))))))
	44.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) #s(approx (neg (+ ( 1/6 (pow im 3)) im)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	41.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	58.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	57.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
▶	52.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
▶	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
	30.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im (neg.f64 im)) im)))
✓	34.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	44.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg (+ (* 1/6 (pow im 3)) im))) (*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 re) (/.f64 (/.f64 (cos.f64 re) im) im)))))

Compiler

Compiled 1 648 to 1 231 computations (25.3% saved)

simplify174.0ms (1.9%)

Memory

-33.5MiB live, 203.0MiB allocated; 37ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
cost-diff	1	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	#s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
cost-diff	1	(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))
cost-diff	2	(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (*.f64 #s(literal 1/2 binary64) im))
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
cost-diff	1	(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)
cost-diff	0	(cos.f64 re)
cost-diff	0	(.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
cost-diff	2	(fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	473
0	100	468
1	192	463
2	483	452
3	1629	452
4	4309	435
0	9368	426

Stop Event

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

Calls

Call 1

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

localize344.0ms (3.8%)

Memory

21.0MiB live, 480.9MiB allocated; 65ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
accuracy	4.026688502978744	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	21.541437319982844	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
accuracy	32.46636344408786	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.09765625	(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
accuracy	0.125	(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
accuracy	4.977092531210412	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.38436782004175	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0.10546875	(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (*.f64 #s(literal 1/2 binary64) im))
accuracy	6.693150817100605	(.f64 (.f64 re re) im)
accuracy	27.478584712187192	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
accuracy	30.224326163011025	#s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im)))
accuracy	0.04296875	(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)
accuracy	0.11328125	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy	10.341378990393583	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
accuracy	23.117952224591402	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
accuracy	0.05859375	(fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im)
accuracy	0.0859375	(.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
accuracy	0.32421875	(*.f64 im #s(literal 1/6 binary64))
accuracy	10.341665554117867	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))

Samples

132.0ms	73×	1	valid
108.0ms	65×	2	valid
62.0ms	118×	0	valid

Compiler

Compiled 348 to 57 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

adjust: 85.0ms (33.1% of total)

ival-mult: 78.0ms (30.4% of total)

ival-exp: 41.0ms (16% of total)

const: 25.0ms (9.7% of total)

ival-sub: 9.0ms (3.5% of total)

ival-add: 8.0ms (3.1% of total)

ival-cos: 6.0ms (2.3% of total)

ival-neg: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series49.0ms (0.5%)

Memory

2.9MiB live, 49.9MiB allocated; 35ms collecting garbage

Counts

24 → 88

Calls

Call 1

Inputs
(fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
(.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(cos.f64 re)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
#s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/6 binary64))
(.f64 (.f64 re re) im)
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 (+ im (* 1/6 (pow im 3))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* 1/2 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ im (* 1/6 (pow im 3))))) (* 1/2 (+ im (* 1/6 (pow im 3)))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* 1/2 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (+ im (* 1/6 (pow im 3)))) (* 1/720 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 im)
(+ (* -1/24 (* im (pow re 2))) (* 1/2 im))
(* -1 im)
(- (* 1/2 (* im (pow re 2))) im)
(- (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))) im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* im (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(cos re)
(* -1/24 (* im (pow re 2)))
(* (pow re 2) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2)))))
(* -1/24 (* im (pow re 4)))
(* (pow re 4) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2)))))
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2))))))
(* -1 (* im (cos re)))
(* 1/2 (cos re))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
-1
(- (* -1/6 (pow im 2)) 1)
(* im (+ 1/2 (* -1/24 (pow re 2))))
(* im (- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(* 1/6 im)
(* -1/2520 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* 1/6 (pow im 3))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* im (- (* 1/24 (pow re 2)) 1/2)))
(* -1 (* im (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	im	@	-inf	((+ (* (* im im) (* im 1/6)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* (* im im) (* im 1/6)) im))) (cos re) (* (+ (* (* im im) -1/6) -1) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* im im) -1/6) -1) (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) (+ (* (* (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) re) re) (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) -2) im) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* im 1/6) (* (* re re) im) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im))
10.0ms	im	@	inf	((+ (* (* im im) (* im 1/6)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* (* im im) (* im 1/6)) im))) (cos re) (* (+ (* (* im im) -1/6) -1) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* im im) -1/6) -1) (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) (+ (* (* (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) re) re) (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) -2) im) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* im 1/6) (* (* re re) im) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im))
4.0ms	im	@	0	((+ (* (* im im) (* im 1/6)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* (* im im) (* im 1/6)) im))) (cos re) (* (+ (* (* im im) -1/6) -1) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* im im) -1/6) -1) (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) (+ (* (* (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) re) re) (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) -2) im) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* im 1/6) (* (* re re) im) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im))
3.0ms	re	@	inf	((+ (* (* im im) (* im 1/6)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* (* im im) (* im 1/6)) im))) (cos re) (* (+ (* (* im im) -1/6) -1) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* im im) -1/6) -1) (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) (+ (* (* (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) re) re) (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) -2) im) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* im 1/6) (* (* re re) im) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im))
3.0ms	re	@	-inf	((+ (* (* im im) (* im 1/6)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg (+ (* (* im im) (* im 1/6)) im))) (cos re) (* (+ (* (* im im) -1/6) -1) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* im im) -1/6) -1) (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) (+ (* (* (+ (* -1/24 (* (* re re) im)) (* 1/2 im)) re) re) (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (- (* (* (- (* (* -1/2520 im) im) 1/60) im) im) 1/3) (* im im)) -2) im) (- (exp (neg im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* im 1/6) (* (* re re) im) (* (* -1/2520 im) im) (* (* (- (* (* -1/2520 im) im) 1/60) im) im))

simplify147.0ms (1.6%)

Memory

26.3MiB live, 158.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1205
1	980	1092
2	4475	1074
0	8190	987

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 87

Calls

Call 1

Inputs
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(* -1 (+ im (* 1/6 (pow im 3))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* 1/2 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ im (* 1/6 (pow im 3))))) (* 1/2 (+ im (* 1/6 (pow im 3)))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* 1/2 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (+ im (* 1/6 (pow im 3)))) (* 1/720 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))))))
1
(+ 1 (* -1/2 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(* 1/2 im)
(+ (* -1/24 (* im (pow re 2))) (* 1/2 im))
(* -1 im)
(- (* 1/2 (* im (pow re 2))) im)
(- (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))) im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(* im (pow re 2))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(cos re)
(* -1/24 (* im (pow re 2)))
(* (pow re 2) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2)))))
(* -1/24 (* im (pow re 4)))
(* (pow re 4) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2)))))
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2))))))
(* -1 (* im (cos re)))
(* 1/2 (cos re))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
-1
(- (* -1/6 (pow im 2)) 1)
(* im (+ 1/2 (* -1/24 (pow re 2))))
(* im (- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(* 1/6 im)
(* -1/2520 (pow im 2))
(* -1/60 (pow im 2))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(* 1/6 (pow im 3))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(* -1/6 (pow im 2))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(* -1/2520 (pow im 4))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1 (* im (- (* 1/24 (pow re 2)) 1/2)))
(* -1 (* im (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(- (exp (* -1 im)) (exp im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)))))
(* -1 (+ im (* 1/6 (pow im 3))))
(neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* 1/2 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ im (* 1/6 (pow im 3))))) (* 1/2 (+ im (* 1/6 (pow im 3)))))))
(fma.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* 1/2 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (+ im (* 1/6 (pow im 3)))) (* 1/720 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))))))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 im)
(*.f64 #s(literal 1/2 binary64) im)
(+ (* -1/24 (* im (pow re 2))) (* 1/2 im))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) im)
(* -1 im)
(neg.f64 im)
(- (* 1/2 (* im (pow re 2))) im)
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(- (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))) im)
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) im) (*.f64 re re) (neg.f64 im))
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) im) (*.f64 re re) (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) im (.f64 (.f64 #s(literal 1/720 binary64) im) (pow.f64 re #s(literal 4 binary64)))) (.f64 re re) (neg.f64 im))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(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))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) re) re (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/4 binary64))) (*.f64 re re) #s(literal 1/2 binary64))
(* im (pow re 2))
(.f64 (.f64 re re) im)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(cos re)
(cos.f64 re)
(* -1/24 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) im) #s(literal -1/24 binary64))
(* (pow re 2) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2)))))
(.f64 (.f64 (fma.f64 (/.f64 im (.f64 re re)) #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) im)) re) re)
(* -1/24 (* im (pow re 4)))
(.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/24 binary64)) im)
(* (pow re 4) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2)))))
(.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 im (.f64 re re)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) im)))
(* (pow re 4) (+ (* -1 (/ im (pow re 4))) (+ (* -1/24 im) (* 1/2 (/ im (pow re 2))))))
(*.f64 (fma.f64 (/.f64 im re) (/.f64 #s(literal 1/2 binary64) re) (fma.f64 #s(literal -1/24 binary64) im (/.f64 (neg.f64 im) (pow.f64 re #s(literal 4 binary64))))) (pow.f64 re #s(literal 4 binary64)))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 re re)) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 re re))
(* -1/4 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/4 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) re) re)
im
(* im (+ 1 (* 1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im)
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))))) im)
(* im (- (* -1/6 (pow im 2)) 1))
(neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)
-1
#s(literal -1 binary64)
(- (* -1/6 (pow im 2)) 1)
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(* im (+ 1/2 (* -1/24 (pow re 2))))
(.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) im)
(* im (- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64)) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))))) im)
(* 1/6 im)
(*.f64 #s(literal 1/6 binary64) im)
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60))
(.f64 (.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) im) im)
(* 1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* -1/6 (* (pow im 3) (cos re)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (/.f64 (neg.f64 (cos.f64 re)) (.f64 im im))) (pow.f64 im #s(literal 3 binary64)))
(* -1/6 (pow im 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))))
(neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(* -1/6 (pow im 2))
(.f64 #s(literal -1/6 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/6 (/ 1 (pow im 2)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) (.f64 im im)) #s(literal -1/60 binary64)) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/2520 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (/.f64 (neg.f64 (cos.f64 re)) (.f64 im im))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* -1 (* im (- (* 1/24 (pow re 2)) 1/2)))
(.f64 (neg.f64 im) (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)))
(* -1 (* im (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))))
(.f64 (neg.f64 im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 im im)))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(.f64 (neg.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 im im))) (/.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 7 binary64)))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite199.0ms (2.2%)

Memory

-57.6MiB live, 128.7MiB allocated; 133ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	355
0	100	349
1	333	342
0	2276	335

Stop Event

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

Counts

24 → 229

Calls

Call 1

Inputs
(fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
(.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(cos.f64 re)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
#s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/6 binary64))
(.f64 (.f64 re re) im)
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)

Outputs
(/.f64 (-.f64 (.f64 im im) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im))) (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 im im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) im)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) im) (fabs.f64 im)) (fabs.f64 im) im)
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) im) (neg.f64 im)) (neg.f64 im) im)
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) im) im) im im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(fma.f64 (fabs.f64 im) (.f64 (fabs.f64 im) (.f64 #s(literal 1/6 binary64) im)) im)
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) (.f64 #s(literal 1/6 binary64) im)) im)
(fma.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 im im) im)
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (.f64 im im) (.f64 #s(literal 1/6 binary64) im) im)
(fma.f64 im (.f64 #s(literal 1/6 binary64) (.f64 im im)) im)
(fma.f64 im (.f64 (.f64 #s(literal 1/6 binary64) im) im) im)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)) (/.f64 (.f64 im im) (-.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)))
(-.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 im (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)) im)
(+.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(*.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
(neg.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
(fma.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (.f64 (cos.f64 re) (neg.f64 im)))
(+.f64 (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (cos.f64 re) (neg.f64 im)))
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(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)))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)
(.f64 im (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) im) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1 binary64)) im) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) im) im)))
(/.f64 (.f64 im (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) #s(literal -1 binary64)))
(/.f64 (.f64 im (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) im) im)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im (*.f64 #s(literal -1 binary64) im))
(fma.f64 #s(literal -1 binary64) im (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im))
(fma.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im)) (*.f64 im #s(literal -1 binary64)))
(fma.f64 im #s(literal -1 binary64) (.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im))))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im) (.f64 #s(literal -1 binary64) im))
(+.f64 (.f64 #s(literal -1 binary64) im) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im))
(+.f64 (.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im))) (.f64 im #s(literal -1 binary64)))
(+.f64 (.f64 im #s(literal -1 binary64)) (.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) im) im))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) im) im))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 im im) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) im) im)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 im)) (fabs.f64 im) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 im)) (neg.f64 im) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) im) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 im im)))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 im (neg.f64 im)) #s(literal -1/6 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 im) (.f64 #s(literal -1/6 binary64) im)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) im) im))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) im) im))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))
(.f64 im (-.f64 (.f64 (*.f64 re re) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)))
(.f64 im (fma.f64 (.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 im im)) (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 (*.f64 re re) im) #s(literal -1/24 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 im im) (.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/2 binary64) im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 im im)))) (neg.f64 (.f64 im (-.f64 (.f64 (.f64 re re) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 re re) im) #s(literal 3 binary64)) #s(literal -1/13824 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64))) (pow.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 im im))) (.f64 im (-.f64 (.f64 (.f64 re re) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 re re) im) #s(literal 3 binary64)) #s(literal -1/13824 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 im im) (-.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) im))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 re re) im) #s(literal 3 binary64)) #s(literal -1/13824 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64))) (pow.f64 (.f64 (.f64 (*.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal -1/24 binary64) im) (.f64 re re) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 (.f64 #s(literal -1/24 binary64) re) (.f64 re im) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 (.f64 (.f64 re re) #s(literal -1/24 binary64)) im (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 (.f64 re re) (.f64 im #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 re (.f64 (.f64 re im) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im (.f64 (.f64 (*.f64 re re) im) #s(literal -1/24 binary64)))
(fma.f64 im (.f64 (.f64 re re) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 im #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 re re) im) #s(literal -1/24 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (.f64 im (-.f64 (.f64 (.f64 re re) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 im im)) (.f64 im (-.f64 (.f64 (*.f64 re re) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) (.f64 (neg.f64 im) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) (.f64 #s(literal -1/2 binary64) im))
(-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (neg.f64 (.f64 (.f64 re re) #s(literal -1/24 binary64))) im))
(-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (neg.f64 (.f64 (.f64 re re) im)) #s(literal -1/24 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 re re) im)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64))) (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) im) (-.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64))) (pow.f64 (.f64 (.f64 (.f64 re re) im) #s(literal -1/24 binary64)) #s(literal 2 binary64)))))
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(/.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/8 binary64))) (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (.f64 #s(literal -1/4 binary64) (*.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/8 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (exp.f64 (.f64 (neg.f64 im) #s(literal 2 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (*.f64 re re))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (*.f64 re re))))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 re re) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 re re) #s(literal -1/8 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (fabs.f64 re)) (fabs.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 #s(literal -1/4 binary64) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 #s(literal -1/4 binary64) re)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/8 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 re re) #s(literal -1/8 binary64)))))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 re re)))
(*.f64 #s(literal 1/6 binary64) im)
(*.f64 im #s(literal 1/6 binary64))
(.f64 (.f64 im (fabs.f64 re)) (fabs.f64 re))
(.f64 (.f64 im (neg.f64 re)) (neg.f64 re))
(.f64 (.f64 re im) re)
(.f64 (fabs.f64 re) (.f64 (fabs.f64 re) im))
(.f64 (neg.f64 re) (.f64 (neg.f64 re) im))
(.f64 (.f64 re re) im)
(.f64 re (.f64 re im))
(.f64 im (.f64 re re))
(.f64 (.f64 #s(literal -1/2520 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal -1/2520 binary64) im) im)
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/2520 binary64))
(.f64 im (.f64 #s(literal -1/2520 binary64) im))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im)
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) (.f64 im im))
(.f64 (.f64 im im) (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)))
(.f64 im (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 2 binary64)) #s(literal 1/3600 binary64)) (.f64 im im)) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 3 binary64)) #s(literal 1/216000 binary64)) (.f64 im im)) (fma.f64 #s(literal 1/60 binary64) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal 1/60 binary64)) (pow.f64 (.f64 (*.f64 #s(literal -1/2520 binary64) im) im) #s(literal 2 binary64))))

eval38.0ms (0.4%)

Memory: 39.6MiB live, 86.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 11 824 to 1 519 computations (87.2% saved)

prune56.0ms (0.6%)

Memory

-33.9MiB live, 62.2MiB allocated; 12ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	293	14	307
Fresh	5	15	20
Picked	3	2	5
Done	0	3	3
Total	301	34	335

Accuracy

99.9%

Counts

335 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.6%	(.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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	49.9%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	16.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	39.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im)))
	58.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
✓	58.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2520 binary64) im) im) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.8%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	56.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 (.f64 (cos.f64 re) (cos.f64 (PI.f64))) (*.f64 (sin.f64 re) (sin.f64 (PI.f64)))) im))
✓	34.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	33.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	83.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
✓	57.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	44.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im))
	33.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (cos.f64 (+.f64 (neg.f64 re) (PI.f64))) im))
✓	83.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
	44.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (neg.f64 #s(approx (+ ( 1/6 (pow im 3)) im) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 3 binary64)))))))
	44.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) #s(approx (neg (+ ( 1/6 (pow im 3)) im)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))))))
	16.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	41.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	52.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
	52.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 im #s(literal -1 binary64) (.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
	58.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	57.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
	58.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	52.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im)))
	23.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 #s(approx (+ ( (* im im) -1/6) -1) (.f64 #s(literal -1/6 binary64) (.f64 im im))) im)))
	23.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) #s(approx (* (+ (* (* im im) -1/6) -1) im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
	56.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
	41.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 #s(approx (+ ( -1/24 (* (* re re) im)) (* 1/2 im)) (*.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (-.f64 (fma.f64 (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re #s(literal 0 binary64)) im)))
✓	34.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	44.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg (+ (* (* im im) (* im 1/6)) im))) (.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (/.f64 (neg.f64 (cos.f64 re)) (.f64 im im))) (pow.f64 im #s(literal 3 binary64)))))

Compiler

Compiled 2 750 to 1 138 computations (58.6% saved)

regimes88.0ms (1%)

Memory

27.0MiB live, 117.8MiB allocated; 7ms collecting garbage

Counts

53 → 2

Calls

Call 1

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

Outputs

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

6 calls:

23.0ms	re
16.0ms	(cos.f64 re)
13.0ms	im
12.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
92.1%	1	`(cos.f64 re)`
92.1%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
92.1%	1	`re`
99.9%	2	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes28.0ms (0.3%)

Memory

-1.6MiB live, 48.5MiB allocated; 7ms collecting garbage

Counts

52 → 2

Calls

Call 1

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

Outputs

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

2 calls:

16.0ms	im
10.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
99.9%	2	`im`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes58.0ms (0.6%)

Memory

-5.3MiB live, 40.8MiB allocated; 3ms collecting garbage

Counts

48 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

3 calls:

34.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
12.0ms	im
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
92.1%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
98.7%	3	`im`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes11.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Counts

47 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes36.0ms (0.4%)

Memory

-27.8MiB live, 18.0MiB allocated; 4ms collecting garbage

Counts

43 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

34.0ms

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

Results

Accuracy	Segments	Branch
99.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes10.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

41 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes18.0ms (0.2%)

Memory

-20.2MiB live, 26.5MiB allocated; 3ms collecting garbage

Counts

38 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
99.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes9.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes41.0ms (0.5%)

Memory

-32.5MiB live, 20.0MiB allocated; 5ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

2 calls:

32.0ms	im
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
89.2%	3	`im`
98.6%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes65.0ms (0.7%)

Memory

7.8MiB live, 53.4MiB allocated; 4ms collecting garbage

Counts

33 → 3

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

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

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

5 calls:

33.0ms	(cos.f64 re)
9.0ms	re
8.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
86.6%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
78.2%	4	`(cos.f64 re)`
78.2%	4	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.0%	2	`re`
94.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes48.0ms (0.5%)

Memory

-10.9MiB live, 81.1MiB allocated; 5ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
61.8%	1	`re`
72.3%	2	`(cos.f64 re)`
72.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
65.2%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
65.2%	2	`im`
72.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (*.f64 (*.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.3%	2	`(cos.f64 re)`
72.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes30.0ms (0.3%)

Memory

-23.7MiB live, 29.7MiB allocated; 18ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

Calls

3 calls:

16.0ms	(cos.f64 re)
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
71.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
71.6%	2	`(cos.f64 re)`
71.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes18.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Counts

23 → 2

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) im))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
71.1%	2	`(cos.f64 re)`
71.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes22.0ms (0.2%)

Memory

-13.7MiB live, 31.9MiB allocated; 6ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

Calls

3 calls:

10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
70.9%	2	`(cos.f64 re)`
70.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes18.0ms (0.2%)

Memory

-9.0MiB live, 37.1MiB allocated; 6ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 #s(approx (+ ( (* im im) -1/6) -1) (.f64 #s(literal -1/6 binary64) (.f64 im im))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im (neg.f64 im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 #s(approx (+ ( -1/24 (* (* re re) im)) (* 1/2 im)) (*.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 im #s(literal -1 binary64) (.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (-.f64 (fma.f64 (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re #s(literal 0 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/60 binary64) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

Calls

3 calls:

8.0ms	(cos.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
70.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
70.1%	2	`(cos.f64 re)`
70.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes16.0ms (0.2%)

Memory

-13.3MiB live, 33.1MiB allocated; 4ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 #s(approx (+ ( (* im im) -1/6) -1) (.f64 #s(literal -1/6 binary64) (.f64 im im))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (*.f64 im (neg.f64 im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 #s(approx (+ ( -1/24 (* (* re re) im)) (* 1/2 im)) (*.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 im #s(literal -1 binary64) (.f64 im (.f64 #s(literal -1/6 binary64) (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (cos re) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 im (fma.f64 (.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 re re) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (-.f64 (fma.f64 (.f64 (.f64 im (fma.f64 (*.f64 re re) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) re) re #s(literal 0 binary64)) im)))

Outputs

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

#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
67.6%	2	`(cos.f64 re)`
67.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes20.0ms (0.2%)

Memory

-6.5MiB live, 47.6MiB allocated; 4ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
56.8%	2	`re`
52.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
56.3%	3	`im`
62.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
62.6%	2	`(cos.f64 re)`
62.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
62.6%	2	`(cos.f64 re)`
62.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes9.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
52.9%	1	`im`
52.9%	1	`re`
52.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
52.9%	1	`(cos.f64 re)`
52.9%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes11.0ms (0.1%)

Memory

-24.1MiB live, 21.0MiB allocated; 6ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
52.7%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
52.7%	2	`im`
39.8%	2	`(cos.f64 re)`
39.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
52.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
40.2%	2	`re`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
34.5%	1	`(cos.f64 re)`
34.5%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
34.5%	1	`re`
34.5%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
34.5%	1	`im`
34.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch20.0ms (0.2%)

Memory

-18.0MiB live, 28.0MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0013476609775399321	0.21310509201109282

Samples

13.0ms

112×

valid

Compiler

Compiled 302 to 254 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 3.0ms (41.2% of total)

ival-exp: 2.0ms (27.5% of total)

ival-sub: 1.0ms (13.7% of total)

ival-mult: 1.0ms (13.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.0013476609775399321	0.21310509201109282

Samples

3.0ms

32×

valid

Compiler

Compiled 288 to 247 computations (14.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (52.2% of total)

ival-cos: 1.0ms (52.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-0.21472174319650522	-0.0013476613854747632

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-0.21472174319650522	-0.0013476613854747632

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-0.21472174319650522	-0.0013476613854747632

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-1550.134267691079	-0.21472174319650522

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-1550.134267691079	-0.21472174319650522

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-1550.134267691079	-0.21472174319650522

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-1550.134267691079	-0.21472174319650522

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-1550.134267691079	-0.21472174319650522

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.9210445888287504e-5	+inf
0.0ms	-2.29658488165585e-6	-5.058263489368476e-9

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.9210445888287504e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05876041213741876	-0.04157084926751582

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1550.134267691079	-0.21472174319650522

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify60.0ms (0.7%)

Memory

-1.5MiB live, 44.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	200	2001
1	293	1997
2	488	1997
3	1075	1997
4	2720	1933

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 im #s(literal 8070450532247929/576460752303423488 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))))
(if (<=.f64 im #s(literal 1080863910568919/72057594037927936 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/2520 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 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 (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 #s(approx (cos re) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64)))) im)))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 #s(approx (+ ( -1/24 (* (* re re) im)) (* 1/2 im)) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (fma.f64 (.f64 #s(approx (+ ( -1/24 (* (* re re) im)) (* 1/2 im)) (.f64 #s(literal 1/2 binary64) im)) re) re (neg.f64 im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)) im)))
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#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Outputs
(if (<=.f64 im #s(literal 8070450532247929/576460752303423488 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/60 binary64) (.f64 im im)) #s(literal 1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (-.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (sinh.f64 im))))
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#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

derivations1.1s (12.6%)

Memory

-5.0MiB live, 805.5MiB allocated; 108ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 051 to 201 computations (90.2% saved)

preprocess196.0ms (2.2%)

Memory: 2.5MiB live, 331.0MiB allocated; 46ms collecting garbage
Remove: (abs re)
Compiler: Compiled 4 480 to 662 computations (85.2% saved)

end0.0ms (0%)

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