Metrics for math.sin on complex, real part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.3s (15%)

Memory

-29.3MiB live, 1 361.1MiB allocated; 792ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

ival-sin: 203.0ms (39.1% of total)

ival-exp: 116.0ms (22.3% of total)

ival-mult: 102.0ms (19.6% of total)

ival-add: 40.0ms (7.7% of total)

ival-sub: 38.0ms (7.3% of total)

exact: 9.0ms (1.7% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain124.0ms (1.4%)

Memory

-22.5MiB live, 182.4MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
0	-	-	`(exp.f64 im)`
0	-	-	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
0	-	-	`(sin.f64 re)`
0	-	-	`#s(literal 0 binary64)`
0	-	-	`im`
0	-	-	`(-.f64 #s(literal 0 binary64) im)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
0	-	-	`re`
0	-	-	`#s(literal 1/2 binary64)`
1	(-5.715070203242863e+205 -308.2847589629082)	-	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (-.f64 #s(literal 0 binary64) im))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

47.0ms

512×

valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

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

ival-sin: 11.0ms (35.9% of total)

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

ival-mult: 6.0ms (19.6% of total)

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

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

exact: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess186.0ms (2.1%)

Memory

22.0MiB live, 166.1MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	103	55
2	435	55
3	1613	55
4	7527	55
0	11	12
0	18	11
1	38	11
2	116	11
3	513	11
4	2363	7
0	8622	7

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

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

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify136.0ms (1.6%)

Memory

-1.4MiB live, 91.0MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	1	(-.f64 #s(literal 0 binary64) im)
cost-diff	4	(.f64 (.f64 #s(literal 1/2 binary64) (sin.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	116	34
3	513	34
4	2363	30
0	8622	30

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.6%)

Memory

-7.8MiB live, 36.2MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (-.f64 #s(literal 0 binary64) im))
accuracy	0.0	(exp.f64 im)
accuracy	0.00390625	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Samples

46.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 6.0ms (39.6% of total)

ival-exp: 3.0ms (19.8% of total)

ival-mult: 3.0ms (19.8% of total)

ival-add: 1.0ms (6.6% of total)

ival-sub: 1.0ms (6.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

7 → 36

Calls

Call 1

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

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))

Calls

6 calls:

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

simplify167.0ms (1.9%)

Memory

-27.2MiB live, 74.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	412
1	506	380
2	2053	365
0	8138	331

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp (neg im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(exp (* -1 im))

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

rewrite140.0ms (1.6%)

Memory

39.3MiB live, 86.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	18	30
1	64	26
2	460	24
0	5774	24

Stop Event

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

Counts

7 → 355

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.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 im) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (-.f64 (pow.f64 (exp.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 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (fma.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (-.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (sin.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (.f64 #s(literal 2 binary64) (sinh.f64 im)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))) (neg.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))
(/.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (sin.f64 re)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (exp.f64 im)))
(fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (exp.f64 im)))
(fma.f64 (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64)) (pow.f64 (cosh.f64 im) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 im) (-.f64 (sinh.f64 im) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64))) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im))))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (fma.f64 (.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (fma.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im))))
(fma.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (fma.f64 (.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))))
(fma.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (fma.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))))
(fma.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (.f64 (neg.f64 (neg.f64 (exp.f64 im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 re))) (exp.f64 im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (+.f64 (cosh.f64 im) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (exp.f64 im)))
(fma.f64 (.f64 (exp.f64 (neg.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (cosh.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im))))
(fma.f64 (cosh.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 (.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))))
(fma.f64 (cosh.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (fma.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))))
(fma.f64 (cosh.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (-.f64 (exp.f64 im) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (cosh.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 im) (sinh.f64 im))))
(fma.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (neg.f64 (neg.f64 (exp.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re))) (exp.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 im) (exp.f64 (neg.f64 im))) (.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (-.f64 (.f64 (sinh.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 re)) (exp.f64 im))))
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(exp.f64 (neg.f64 im))
(+.f64 (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 im) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 im) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (neg.f64 im)) (-.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im)) (pow.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im))))
(+.f64 (sinh.f64 (neg.f64 im)) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))

eval63.0ms (0.7%)

Memory: 0.5MiB live, 47.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 9 141 to 1 284 computations (86% saved)

prune31.0ms (0.4%)

Memory

-27.6MiB live, 22.3MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	383	4	387
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	4	388

Accuracy

100.0%

Counts

388 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
▶	46.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	70.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
▶	62.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify222.0ms (2.6%)

Memory

7.3MiB live, 92.2MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	166
0	50	158
1	106	158
2	309	146
3	1403	142
0	8554	142

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (1%)

Memory

12.8MiB live, 56.2MiB allocated; 4ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0.0	(sin.f64 re)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
accuracy	0.00390625	(cosh.f64 im)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	0.0	(sin.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy	33.905417211637356	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) im)
accuracy	0.0	(sin.f64 re)
accuracy	3.0776107463875206	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
accuracy	21.772643286194977	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
accuracy	0.01171875	(/.f64 re (exp.f64 im))
accuracy	0.01953125	(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
accuracy	0.10546875	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	24.093661984677865	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

Samples

66.0ms

256×

valid

Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 27.0ms (53.3% of total)

ival-sin: 6.0ms (11.9% of total)

ival-add: 4.0ms (7.9% of total)

const: 4.0ms (7.9% of total)

ival-exp: 3.0ms (5.9% of total)

ival-cosh: 3.0ms (5.9% of total)

ival-div: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

series102.0ms (1.2%)

Memory

-40.3MiB live, 29.8MiB allocated; 26ms collecting garbage

Counts

17 → 73

Calls

Call 1

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

Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (exp im) (/ 1 (exp im))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(/ re (exp im))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))
(* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* 1/12 (* (pow re 3) (- (* -1 (exp im)) (/ 1 (exp im)))))
(* -1 (* (pow re 3) (+ (* -1/12 (- (* -1 (exp im)) (/ 1 (exp im)))) (* 1/2 (/ (- (* -1 (exp im)) (/ 1 (exp im))) (pow re 2))))))
(* -1 (* re (- (* -1 (exp im)) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1 (* im (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* im (+ (* -1 (* im (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re)))))) (* -1 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 2 re)
(+ (* 2 re) (* (pow im 2) re))
(+ (* 2 re) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(+ (* 2 re) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re))))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ re (* -1 (* im re)))
(+ re (* im (- (* -1 (* im (+ (* -1 re) (* 1/2 re)))) re)))
(+ re (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re))))) (+ (* -1 re) (* 1/2 re)))) re)))
(* (+ 1/2 (* -1/12 (pow re 2))) (+ (* re (exp im)) (/ re (exp im))))
(+ (* re (exp im)) (/ re (exp im)))
(exp im)
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+ (exp im) (exp (neg im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	im	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* re re) -1/12) 1/2) (/ re (exp im)))
6.0ms	im	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* re re) -1/12) 1/2) (/ re (exp im)))
4.0ms	re	@	0	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* re re) -1/12) 1/2) (/ re (exp im)))
3.0ms	re	@	-inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* re re) -1/12) 1/2) (/ re (exp im)))
3.0ms	re	@	inf	((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (+ (* (* 1/2 im) im) 1) (* 1/2 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* re re) -1/12) 1/2) (/ re (exp im)))

simplify168.0ms (1.9%)

Memory

38.1MiB live, 130.9MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	1140
1	1157	1014
2	5064	995
0	8179	903

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (exp im) (/ 1 (exp im))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(/ re (exp im))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))
(* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* 1/12 (* (pow re 3) (- (* -1 (exp im)) (/ 1 (exp im)))))
(* -1 (* (pow re 3) (+ (* -1/12 (- (* -1 (exp im)) (/ 1 (exp im)))) (* 1/2 (/ (- (* -1 (exp im)) (/ 1 (exp im))) (pow re 2))))))
(* -1 (* re (- (* -1 (exp im)) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1 (* im (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* im (+ (* -1 (* im (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re)))))) (* -1 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 2 re)
(+ (* 2 re) (* (pow im 2) re))
(+ (* 2 re) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(+ (* 2 re) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re))))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(+ 1 (* 1/2 (pow im 2)))
(* 1/2 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ re (* -1 (* im re)))
(+ re (* im (- (* -1 (* im (+ (* -1 re) (* 1/2 re)))) re)))
(+ re (* im (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re))))) (+ (* -1 re) (* 1/2 re)))) re)))
(* (+ 1/2 (* -1/12 (pow re 2))) (+ (* re (exp im)) (/ re (exp im))))
(+ (* re (exp im)) (/ re (exp im)))
(exp im)
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(+ (exp im) (exp (neg im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

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

rewrite246.0ms (2.8%)

Memory

-24.7MiB live, 204.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	145
0	50	137
1	175	129
2	1190	129
0	8226	129

Stop Event

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

Counts

17 → 522

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))))) (fma.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re) (*.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) (.f64 re re)) #s(literal -1/12 binary64) (*.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))))) (-.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re))) (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))))) (-.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im)))) (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)))) (-.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 (exp.f64 im) re))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) (.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64)) (.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) (*.f64 (neg.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im)))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (.f64 (.f64 (/.f64 re (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 im) re) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im)))) (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re))) (.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (/.f64 re (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 (exp.f64 im) re))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (pow.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (.f64 re re)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal 1/2 binary64)) (.f64 (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(literal -1/12 binary64)) (*.f64 re re))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) re) #s(literal 2 binary64)) (pow.f64 (/.f64 re (exp.f64 im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (.f64 (-.f64 (pow.f64 (.f64 (exp.f64 im) re) #s(literal 2 binary64)) (pow.f64 (/.f64 re (exp.f64 im)) #s(literal 2 binary64))) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (-.f64 (.f64 (exp.f64 im) re) (/.f64 re (exp.f64 im))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))))) (.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 re re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (*.f64 re re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 re re))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (*.f64 re re) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 #s(literal -1/12 binary64) (neg.f64 re)) (neg.f64 re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 #s(literal -1/12 binary64) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))) (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (*.f64 re re)))))
(-.f64 (/.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 #s(literal -1/12 binary64) re)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 re re)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(+.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 (exp.f64 im)))))
(/.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 (neg.f64 re) (neg.f64 (exp.f64 im)))
(/.f64 re (exp.f64 im))
(neg.f64 (/.f64 (neg.f64 re) (exp.f64 im)))
(neg.f64 (/.f64 re (neg.f64 (exp.f64 im))))

eval106.0ms (1.2%)

Memory: 35.6MiB live, 136.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 28 710 to 2 536 computations (91.2% saved)

prune42.0ms (0.5%)

Memory

-26.7MiB live, 64.7MiB allocated; 6ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	582	21	603
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	584	23	607

Accuracy

100.0%

Counts

607 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	90.6%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	82.9%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
▶	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	29.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	24.1%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	70.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	64.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))))
	62.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	62.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
▶	61.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	61.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	58.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re #s(approx (/ re (exp im)) (fma.f64 (neg.f64 re) im re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
▶	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	38.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	43.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	28.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
	36.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
	27.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	22.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
	43.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))

Compiler

Compiled 1 474 to 1 009 computations (31.5% saved)

simplify256.0ms (2.9%)

Memory

10.5MiB live, 199.9MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 im)
cost-diff	0	(fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
cost-diff	0	(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
cost-diff	3	(fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))
cost-diff	3	(fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))
cost-diff	3	(fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))))
cost-diff	4	(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(*.f64 re #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) (cosh.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	533
0	96	472
1	205	442
2	592	421
3	2833	415
0	8738	412

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
re
(cosh.f64 im)
im
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))))
#s(literal 1/4 binary64)
re
(fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/2 binary64) re)
#s(literal -1/2 binary64)
(neg.f64 im)
im
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
#s(literal 0 binary64)
(*.f64 im im)
(*.f64 #s(literal 2 binary64) re)
#s(literal 2 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(exp.f64 im)
im
re
(/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(sin.f64 re)
re
(cosh.f64 im)
im
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64))
(-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64))
(.f64 #s(literal 1/240 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1/240 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal 1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 #s(literal 2 binary64) re)))))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 #s(literal 2 binary64) re))))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 #s(literal 2 binary64) re)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 #s(literal 2 binary64) re))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re)
(fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(.f64 (.f64 im re) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))))
(*.f64 #s(literal -1/12 binary64) re)
#s(literal 1/4 binary64)
re
(fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))
(*.f64 #s(literal -1/3 binary64) re)
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal -1/6 binary64) re)
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/2 binary64) re)
#s(literal -1/2 binary64)
(neg.f64 im)
im
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 im im)
(*.f64 #s(literal 2 binary64) re)
#s(literal 2 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(exp.f64 im)
im
re
(/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)

localize222.0ms (2.6%)

Memory

5.4MiB live, 250.1MiB allocated; 28ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
accuracy	0.10546875	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	24.093661984677865	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
accuracy	33.1953108385552	#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
accuracy	0.64453125	(fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))))
accuracy	0.78125	(fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))
accuracy	10.634205124013825	#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
accuracy	24.093661984677865	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
accuracy	0.05078125	(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
accuracy	0.32320264220034645	(.f64 #s(literal 1/240 binary64) (.f64 re re))
accuracy	31.30451074653982	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
accuracy	33.905417211637356	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(*.f64 re #s(literal 1/2 binary64))
accuracy	0.0078125	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy	31.122379128546235	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy	33.905417211637356	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.0	(sin.f64 re)
accuracy	0.00390625	(*.f64 (sin.f64 re) (cosh.f64 im))
accuracy	0.00390625	(cosh.f64 im)

Samples

185.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 372 to 55 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 93.0ms (60.8% of total)

ival-neg: 17.0ms (11.1% of total)

const: 14.0ms (9.2% of total)

ival-add: 12.0ms (7.8% of total)

ival-sin: 6.0ms (3.9% of total)

ival-exp: 3.0ms (2% of total)

ival-cosh: 3.0ms (2% of total)

ival-div: 2.0ms (1.3% of total)

ival-sub: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series38.0ms (0.4%)

Memory

-14.4MiB live, 32.3MiB allocated; 4ms collecting garbage

Counts

24 → 73

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
(fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))))
(fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(exp.f64 im)
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	re	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* 0 (* -1/2 re)) (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re))) (+ (* 1/3 re) (* -1/2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* 1/240 (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (exp im) (+ (* (* re re) -1/12) 1/2))
4.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* 0 (* -1/2 re)) (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re))) (+ (* 1/3 re) (* -1/2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* 1/240 (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (exp im) (+ (* (* re re) -1/12) 1/2))
3.0ms	re	@	0	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* 0 (* -1/2 re)) (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re))) (+ (* 1/3 re) (* -1/2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* 1/240 (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (exp im) (+ (* (* re re) -1/12) 1/2))
2.0ms	im	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* 0 (* -1/2 re)) (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re))) (+ (* 1/3 re) (* -1/2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* 1/240 (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (exp im) (+ (* (* re re) -1/12) 1/2))
2.0ms	im	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) re) (+ (* (- (* 1/240 (* re re)) 1/12) (* re re)) 1/2) (* 0 (* -1/2 re)) (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re))) (+ (* 1/3 re) (* -1/2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (+ (* (exp im) re) (/ re (exp im))) (exp im) (* 1/240 (* re re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (exp im) (+ (* (* re re) -1/12) 1/2))

simplify151.0ms (1.7%)

Memory

11.2MiB live, 244.2MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1007
1	1010	917
2	4340	859
0	9084	796

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 72

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
0
(* -1/12 re)
(* -1/3 re)
(* -1/6 re)
(* re (+ (exp im) (/ 1 (exp im))))
(* 1/240 (pow re 2))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* -1/12 (* (pow re 3) (+ (exp im) (/ 1 (exp im)))))
(* (pow re 3) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/2 (/ (+ (exp im) (/ 1 (exp im))) (pow re 2)))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(* 1/12 (* (pow re 3) (- (* -1 (exp im)) (/ 1 (exp im)))))
(* -1 (* (pow re 3) (+ (* -1/12 (- (* -1 (exp im)) (/ 1 (exp im)))) (* 1/2 (/ (- (* -1 (exp im)) (/ 1 (exp im))) (pow re 2))))))
(* -1 (* re (- (* -1 (exp im)) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 2 (* re (+ 1/2 (* -1/12 (pow re 2)))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (* re (+ 1/2 (* -1/12 (pow re 2))))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* -1 (* im (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(+ (* 2 (* re (+ 1/2 (* -1/12 (pow re 2))))) (* (pow im 2) (+ (* im (+ (* -1 (* im (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re)))))) (* -1 (* (+ 1/2 (* -1/12 (pow re 2))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))))) (* re (+ 1/2 (* -1/12 (pow re 2)))))))
(* 2 re)
(+ (* 2 re) (* (pow im 2) re))
(+ (* 2 re) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(+ (* 2 re) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re))))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* (+ 1/2 (* -1/12 (pow re 2))) (+ (* re (exp im)) (/ re (exp im))))
(+ (* re (exp im)) (/ re (exp im)))
(exp im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

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

rewrite192.0ms (2.2%)

Memory

-25.5MiB live, 317.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	335
0	96	298
1	387	271
2	3119	271
0	8258	269

Stop Event

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

Counts

24 → 304

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
(fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))))
(fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(exp.f64 im)
(.f64 #s(literal 1/240 binary64) (.f64 re re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))

Outputs
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(sin.f64 re)
(/.f64 (fma.f64 (exp.f64 im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (+.f64 (expm1.f64 (+.f64 im im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (*.f64 #s(literal 0 binary64) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (*.f64 (sinh.f64 im) #s(literal 0 binary64)))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 im))))
(cosh.f64 (neg.f64 (neg.f64 im)))
(cosh.f64 (neg.f64 im))
(cosh.f64 im)
(-.f64 (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) im)) (cosh.f64 im)) (.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) im)) (sinh.f64 im)))
(-.f64 (.f64 (cosh.f64 (/.f64 #s(literal 0 binary64) (.f64 im im))) (cosh.f64 im)) (.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) (.f64 im im))) (sinh.f64 im)))
(-.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 0 binary64) (sinh.f64 im)))
(+.f64 (.f64 (cosh.f64 im) #s(literal 1 binary64)) (.f64 (sinh.f64 im) #s(literal 0 binary64)))
(+.f64 (/.f64 (exp.f64 im) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 im) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (.f64 #s(literal 0 binary64) (sinh.f64 im)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) re))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 re re) #s(literal 1/240 binary64)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
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(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 re (*.f64 #s(literal -1/12 binary64) re) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64)) (-.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal -1/12 binary64) (*.f64 re re)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 re re)) #s(literal -1/12 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 re) (.f64 #s(literal -1/12 binary64) re)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/12 binary64) (.f64 re re)))
(+.f64 (/.f64 (.f64 #s(literal -1/1728 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) #s(literal -1/24 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))
(+.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/12 binary64) (.f64 re re)))

eval61.0ms (0.7%)

Memory: 4.3MiB live, 146.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 22 829 to 2 107 computations (90.8% saved)

prune40.0ms (0.5%)

Memory

9.4MiB live, 104.2MiB allocated; 4ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	378	16	394
Fresh	3	13	16
Picked	1	4	5
Done	1	1	2
Total	383	34	417

Accuracy

100.0%

Counts

417 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
▶	90.6%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	82.9%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	46.8%	(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
	47.0%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	29.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	59.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))))
✓	24.1%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	21.9%	(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	70.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	64.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))))
	62.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	62.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
✓	61.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	61.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	58.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re #s(approx (/ re (exp im)) (fma.f64 (neg.f64 re) im re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	48.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
▶	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal -1/6 binary64) (.f64 re #s(literal 1/12 binary64))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	42.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) #s(approx ( 0 (* -1/2 re)) #s(literal 0 binary64))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal 1/3 binary64) re)) (.f64 #s(literal 1/2 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) re)) (.f64 #s(literal 1/3 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (.f64 #s(literal -1/12 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re (.f64 re #s(literal 1/12 binary64))) (neg.f64 im) #s(literal 0 binary64)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
▶	38.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	36.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 (neg.f64 im) (fma.f64 #s(literal 1/4 binary64) re #s(literal 0 binary64))) im re) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	43.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	28.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
	27.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
▶	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	22.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
	43.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))

Compiler

Compiled 2 470 to 1 674 computations (32.2% saved)

simplify146.0ms (1.7%)

Memory

14.5MiB live, 246.2MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
cost-diff	2	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
cost-diff	3	(fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re))
cost-diff	3	(fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re)))
cost-diff	4	(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
cost-diff	2	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))
cost-diff	3	(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re)
cost-diff	4	(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff	0	#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	631
0	105	543
1	239	511
2	723	495
3	3181	491
4	7918	491
0	9081	481

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))
(.f64 (fma.f64 (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)) im re) im)
(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re)
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
#s(literal 0 binary64)
(*.f64 #s(literal -1/2 binary64) re)
#s(literal -1/2 binary64)
re
im
(*.f64 #s(literal 2 binary64) re)
#s(literal 2 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re)))
re
#s(literal 1/6 binary64)
(fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/4 binary64) re)
#s(literal 1/4 binary64)
(neg.f64 im)
im
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
#s(literal 0 binary64)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 im im)
(*.f64 #s(literal 2 binary64) re)
#s(literal 2 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) #s(approx (+ (* (exp im) re) (/ re (exp im))) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) #s(approx (+ (* (exp im) re) (/ re (exp im))) (*.f64 re (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (*.f64 re (fma.f64 im im #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))
(*.f64 re (fma.f64 im im #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)) im re) im)
(*.f64 im re)
(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re)
re
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -1/2 binary64) re)
#s(literal -1/2 binary64)
re
im
(*.f64 #s(literal 2 binary64) re)
#s(literal 2 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 im im) (.f64 #s(literal 2 binary64) re)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re) (.f64 im im) (.f64 #s(literal 2 binary64) re))
(fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re)
(fma.f64 (.f64 #s(literal 1/12 binary64) re) (.f64 im im) re)
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(.f64 (.f64 im re) #s(literal 1/12 binary64))
(fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re)))
(*.f64 #s(literal -1/12 binary64) re)
re
#s(literal 1/6 binary64)
(fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re))
(*.f64 #s(literal -1/4 binary64) re)
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/4 binary64) re)
#s(literal 1/4 binary64)
(neg.f64 im)
im
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 im im)
(*.f64 #s(literal 2 binary64) re)
#s(literal 2 binary64)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize222.0ms (2.5%)

Memory

26.6MiB live, 357.4MiB allocated; 64ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.1171875	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	10.777117228882151	#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	0.1484375	(fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
accuracy	0.77734375	(fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re)))
accuracy	10.634205124013825	#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
accuracy	24.093661984677865	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
accuracy	0.08984375	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))
accuracy	0.10546875	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	17.68129981398085	#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re)))
accuracy	24.093661984677865	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
accuracy	0.0	(*.f64 im im)
accuracy	3.050266996387521	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
accuracy	21.772643286194977	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
accuracy	26.09417153867655	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
accuracy	0.02734375	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy	0.078125	(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
accuracy	0.08984375	(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	5.9852427559568895	#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))

Samples

176.0ms	255×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 414 to 67 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 85.0ms (63.5% of total)

ival-add: 18.0ms (13.4% of total)

const: 12.0ms (9% of total)

ival-sin: 6.0ms (4.5% of total)

ival-div: 3.0ms (2.2% of total)

ival-exp: 3.0ms (2.2% of total)

ival-cosh: 3.0ms (2.2% of total)

ival-sub: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series28.0ms (0.3%)

Memory

5.6MiB live, 51.7MiB allocated; 7ms collecting garbage

Counts

26 → 75

Calls

Call 1

Inputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re)))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
0
(* re (+ 2 (pow im 2)))
(* -1/12 re)
(* -1/4 re)
(* 1/12 (* im re))
(* re (+ (exp im) (/ 1 (exp im))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* re (- (* -1 (pow im 2)) 2)))
(* -1 (* re (- (* -1 (exp im)) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ re (* 1/2 (* (pow im 2) re)))
(* 2 re)
(+ (* 2 re) (* (pow im 2) re))
(* -1 (* im (+ (* -1/2 re) (+ (* 1/6 re) (* 1/4 re)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(pow im 2)
(+ (* 2 re) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(+ (* 2 re) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re))))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* (pow im 2) re)
(* (pow im 2) (+ re (* 2 (/ re (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (* re (exp im)) (/ re (exp im)))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	re	@	0	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* 0 (* -1/2 re)) (+ (* (* 0 (* -1/2 re)) im) re) (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (+ (* -1/2 re) (* 1/4 re)) (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (* (sin re) (cosh im)) (cosh im) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im) (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (+ (* 1/24 (* im im)) 1/2))
4.0ms	im	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* 0 (* -1/2 re)) (+ (* (* 0 (* -1/2 re)) im) re) (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (+ (* -1/2 re) (* 1/4 re)) (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (* (sin re) (cosh im)) (cosh im) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im) (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (+ (* 1/24 (* im im)) 1/2))
4.0ms	re	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* 0 (* -1/2 re)) (+ (* (* 0 (* -1/2 re)) im) re) (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (+ (* -1/2 re) (* 1/4 re)) (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (* (sin re) (cosh im)) (cosh im) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im) (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (+ (* 1/24 (* im im)) 1/2))
4.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* 0 (* -1/2 re)) (+ (* (* 0 (* -1/2 re)) im) re) (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (+ (* -1/2 re) (* 1/4 re)) (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (* (sin re) (cosh im)) (cosh im) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im) (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (+ (* 1/24 (* im im)) 1/2))
4.0ms	im	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* 0 (* -1/2 re)) (+ (* (* 0 (* -1/2 re)) im) re) (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (+ (* -1/2 re) (* 1/4 re)) (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (* (sin re) (cosh im)) (cosh im) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im) (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (* (exp im) re) (/ re (exp im))) (+ (* 1/24 (* im im)) 1/2))

simplify181.0ms (2.1%)

Memory

-4.7MiB live, 234.9MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	957
1	979	875
2	3867	830
0	8766	768

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
0
(* re (+ 2 (pow im 2)))
(* -1/12 re)
(* -1/4 re)
(* 1/12 (* im re))
(* re (+ (exp im) (/ 1 (exp im))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1 (* re (- (* -1 (pow im 2)) 2)))
(* -1 (* re (- (* -1 (exp im)) (/ 1 (exp im)))))
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ re (* 1/2 (* (pow im 2) re)))
(* 2 re)
(+ (* 2 re) (* (pow im 2) re))
(* -1 (* im (+ (* -1/2 re) (+ (* 1/6 re) (* 1/4 re)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(pow im 2)
(+ (* 2 re) (* (pow im 2) (- (* -1 (* im (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(+ (* 2 re) (* (pow im 2) (- (* im (- (* -1 (* im (+ (* -1 (+ (* -1 (+ (* -1 re) (* 1/2 re))) (+ (* -1/2 re) (* 1/6 re)))) (+ (* -1/2 (+ (* -1 re) (* 1/2 re))) (* -1/6 re))))) (+ (* -1 (+ (* -1 re) (* 1/2 re))) (* -1/2 re)))) (* -1 re))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* (pow im 2) re)
(* (pow im 2) (+ re (* 2 (/ re (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(+ (* re (exp im)) (/ re (exp im)))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))

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

rewrite239.0ms (2.7%)

Memory

15.5MiB live, 315.6MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	422
0	105	370
1	456	345
2	3591	345
0	9008	338

Stop Event

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

Counts

26 → 445

Calls

Call 1

Inputs
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))
(fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re)))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 #s(literal 1/4 binary64) re))
(fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re)))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
#s(approx (cosh im) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64))
(*.f64 im im)
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (*.f64 #s(literal 2 binary64) re)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))

Outputs
(.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
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(fma.f64 im (fabs.f64 (*.f64 #s(literal 1/24 binary64) im)) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 #s(literal 1/24 binary64) im) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) im)) im))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 im im)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 im im)) #s(literal 1/24 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 im im) #s(literal 1/48 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal 1/48 binary64))))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 im im)))

eval191.0ms (2.2%)

Memory: 25.0MiB live, 223.5MiB allocated; 94ms collecting garbage
Compiler: Compiled 35 365 to 4 342 computations (87.7% saved)

prune67.0ms (0.8%)

Memory

-28.6MiB live, 113.9MiB allocated; 18ms collecting garbage

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	853	15	868
Fresh	10	14	24
Picked	4	1	5
Done	0	5	5
Total	867	35	902

Accuracy

100.0%

Counts

902 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	90.6%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	82.9%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	90.2%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	82.5%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))
	46.8%	(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))
✓	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	29.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	59.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) #s(literal 2 binary64)))))
✓	24.1%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	21.9%	(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	70.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	64.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re (exp.f64 im))) #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64))))
	62.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	62.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
✓	61.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	61.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	58.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re #s(approx (/ re (exp im)) (fma.f64 (neg.f64 re) im re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	41.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) re) (.f64 re #s(literal -3/4 binary64))) (.f64 re #s(literal -3/4 binary64)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/12 binary64) re (.f64 #s(literal -1/3 binary64) re)) im #s(literal 0 binary64)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal 1/3 binary64) re)) (.f64 #s(literal 1/2 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	43.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) re) (neg.f64 im)) (.f64 (.f64 #s(literal -1/4 binary64) re) (neg.f64 im))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	47.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (.f64 (.f64 #s(literal 1/12 binary64) re) im)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	37.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) #s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))
	18.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
	28.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
	51.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	27.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
✓	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	22.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
	25.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
	31.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
	20.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
	43.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))

Compiler

Compiled 3 388 to 1 266 computations (62.6% saved)

regimes89.0ms (1%)

Memory

-10.9MiB live, 133.2MiB allocated; 11ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))

Calls

6 calls:

17.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
16.0ms	re
14.0ms	im
14.0ms	(sin.f64 re)
13.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

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

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes79.0ms (0.9%)

Memory

31.7MiB live, 124.2MiB allocated; 5ms collecting garbage

Counts

52 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

6 calls:

14.0ms	(sin.f64 re)
14.0ms	re
13.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
13.0ms	im
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
90.6%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
95.8%	3	`(sin.f64 re)`
95.8%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
93.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
95.5%	2	`re`
98.1%	3	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes18.0ms (0.2%)

Memory

-22.6MiB live, 26.7MiB allocated; 4ms collecting garbage

Counts

51 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

1 calls:

15.0ms

im

Results

Accuracy	Segments	Branch
98.1%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

50 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
98.1%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

-21.3MiB live, 25.3MiB allocated; 2ms collecting garbage

Counts

47 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
98.0%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

46 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

1 calls:

12.0ms

im

Results

Accuracy	Segments	Branch
97.2%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

-22.6MiB live, 23.2MiB allocated; 2ms collecting garbage

Counts

45 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

1 calls:

13.0ms

im

Results

Accuracy	Segments	Branch
97.1%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes26.0ms (0.3%)

Memory

-6.5MiB live, 39.9MiB allocated; 2ms collecting garbage

Counts

43 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

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

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

Calls

2 calls:

12.0ms	re
11.0ms	im

Results

Accuracy	Segments	Branch
93.0%	2	`re`
96.7%	3	`im`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes95.0ms (1.1%)

Memory

5.9MiB live, 103.5MiB allocated; 40ms collecting garbage

Counts

42 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re) (*.f64 im im) (*.f64 #s(literal 2 binary64) re))) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))

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

Calls

6 calls:

41.0ms	(sin.f64 re)
11.0ms	im
11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms	re
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
82.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
82.9%	1	`re`
85.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
82.9%	1	`(sin.f64 re)`
82.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
88.5%	3	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

39 → 3

Calls

Call 1

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

Outputs

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re) (*.f64 im im) (*.f64 #s(literal 2 binary64) re))) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))

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

Calls

1 calls:

10.0ms

im

Results

Accuracy	Segments	Branch
88.2%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes60.0ms (0.7%)

Memory

1.5MiB live, 94.8MiB allocated; 3ms collecting garbage

Counts

38 → 4

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
75.8%	3	`(sin.f64 re)`
75.8%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
75.5%	2	`re`
76.1%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
84.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
86.2%	4	`im`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes23.0ms (0.3%)

Memory

-14.6MiB live, 34.3MiB allocated; 4ms collecting garbage

Counts

37 → 3

Calls

Call 1

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

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (*.f64 (*.f64 #s(literal 1/12 binary64) re) im)) im re) (*.f64 im im) (*.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

(*.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
84.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
83.1%	4	`im`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes54.0ms (0.6%)

Memory

-6.7MiB live, 86.6MiB allocated; 4ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (.f64 (.f64 #s(literal 1/12 binary64) re) im)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 (neg.f64 im) (fma.f64 #s(literal 1/4 binary64) re #s(literal 0 binary64))) im re) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/12 binary64) re (.f64 #s(literal -1/3 binary64) re)) im #s(literal 0 binary64)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re (.f64 re #s(literal 1/12 binary64))) (neg.f64 im) #s(literal 0 binary64)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (.f64 #s(literal -1/12 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) re) (neg.f64 im)) (.f64 (.f64 #s(literal -1/4 binary64) re) (neg.f64 im))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) #s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal -1/6 binary64) (.f64 re #s(literal 1/12 binary64))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) #s(approx ( 0 (* -1/2 re)) #s(literal 0 binary64))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) re)) (.f64 #s(literal 1/3 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal 1/3 binary64) re)) (.f64 #s(literal 1/2 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) re) (.f64 re #s(literal -3/4 binary64))) (.f64 re #s(literal -3/4 binary64)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (*.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) re))) im re) (*.f64 im im) (*.f64 #s(literal 2 binary64) re))) #s(approx (+ (* (* re re) -1/12) 1/2) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))

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

Calls

6 calls:

10.0ms	(sin.f64 re)
10.0ms	im
9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	re
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
62.3%	2	`(sin.f64 re)`
62.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
55.2%	3	`re`
53.4%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
58.6%	3	`im`
62.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes19.0ms (0.2%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (.f64 (.f64 #s(literal 1/12 binary64) re) im)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 (neg.f64 im) (fma.f64 #s(literal 1/4 binary64) re #s(literal 0 binary64))) im re) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/12 binary64) re (.f64 #s(literal -1/3 binary64) re)) im #s(literal 0 binary64)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re (.f64 re #s(literal 1/12 binary64))) (neg.f64 im) #s(literal 0 binary64)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/4 re) (+ (* -1/6 re) (+ (* 1/3 re) (* -1/2 re)))) (.f64 #s(literal -1/12 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) re) (neg.f64 im)) (.f64 (.f64 #s(literal -1/4 binary64) re) (neg.f64 im))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) #s(approx (+ (* (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/12 binary64)) re) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal -1/6 binary64) (.f64 re #s(literal 1/12 binary64))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) #s(approx ( 0 (* -1/2 re)) #s(literal 0 binary64))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) re (.f64 #s(literal 1/4 binary64) re))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal -1/2 binary64) re)) (.f64 #s(literal 1/3 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 re #s(literal 1/12 binary64) (.f64 #s(literal 1/3 binary64) re)) (.f64 #s(literal 1/2 binary64) re)) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) re) (.f64 re #s(literal -3/4 binary64))) (.f64 re #s(literal -3/4 binary64)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

Outputs

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 (neg.f64 im) (fma.f64 #s(literal 1/4 binary64) re #s(literal 0 binary64))) im re) (*.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

Calls

2 calls:

9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
62.3%	2	`(sin.f64 re)`
62.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes18.0ms (0.2%)

Memory

-17.4MiB live, 29.3MiB allocated; 2ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (.f64 (.f64 #s(literal 1/12 binary64) re) im)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 (neg.f64 im) (fma.f64 #s(literal 1/4 binary64) re #s(literal 0 binary64))) im re) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))

Outputs

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (*.f64 #s(approx (+ (* (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (*.f64 (*.f64 #s(literal 1/12 binary64) re) im)) im re) (*.f64 im im) (*.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
62.0%	2	`(sin.f64 re)`
62.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.2%)

Memory

-21.9MiB live, 27.2MiB allocated; 4ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re)) im re) im) im (.f64 #s(literal 2 binary64) re))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

3 calls:

7.0ms	(sin.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
61.6%	2	`(sin.f64 re)`
61.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
61.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes16.0ms (0.2%)

Memory

32.3MiB live, 32.3MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re (/.f64 re (*.f64 im im))) im) im))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.1%	2	`im`
56.1%	2	`(sin.f64 re)`
56.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
56.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 19 to 21 computations (-10.5% saved)

regimes12.0ms (0.1%)

Memory

-26.4MiB live, 19.2MiB allocated; 3ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))))

Outputs

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

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

Calls

3 calls:

5.0ms	(sin.f64 re)
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
56.1%	2	`(sin.f64 re)`
56.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
56.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes9.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.0%	2	`(sin.f64 re)`
56.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
56.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes16.0ms (0.2%)

Memory

-13.6MiB live, 32.5MiB allocated; 5ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) im) im) re (*.f64 #s(literal 1 binary64) re))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (sqrt.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
45.7%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
45.7%	1	`re`
52.7%	2	`(sin.f64 re)`
52.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
52.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes13.0ms (0.1%)

Memory

38.0MiB live, 38.0MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
45.7%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
45.7%	1	`re`
45.7%	1	`im`
45.7%	1	`(sin.f64 re)`
45.7%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
45.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-7.5MiB live, 29.0MiB allocated; 7ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
45.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
45.6%	2	`im`
45.6%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
36.0%	2	`(sin.f64 re)`
36.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
36.2%	2	`re`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.0%	2	`im`
41.0%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
41.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes14.0ms (0.2%)

Memory

-28.2MiB live, 19.4MiB allocated; 12ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	im
1.0ms	re
1.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
24.1%	1	`(sin.f64 re)`
24.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
24.1%	1	`re`
24.1%	1	`im`
24.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
24.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch60.0ms (0.7%)

Memory

45.5MiB live, 76.6MiB allocated; 29ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.2560417842837225e+51	2.2501487344022583e+54
39.0ms	0.470654468652669	14.655273893188838

Samples

21.0ms

240×

valid

Compiler

Compiled 1 000 to 700 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 6.0ms (39.3% of total)

ival-exp: 4.0ms (26.2% of total)

ival-mult: 3.0ms (19.7% of total)

ival-add: 1.0ms (6.6% of total)

ival-sub: 1.0ms (6.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory

-9.6MiB live, 27.6MiB allocated; 21ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.2560417842837225e+51	2.2501487344022583e+54
24.0ms	0.470654468652669	14.655273893188838

Samples

22.0ms

32×

valid

Compiler

Compiled 955 to 670 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 19.0ms (90.8% of total)

ival-exp: 1.0ms (4.8% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2560417842837225e+51	2.2501487344022583e+54
1.0ms	0.470654468652669	14.655273893188838

Compiler

Compiled 895 to 655 computations (26.8% saved)

bsearch3.0ms (0%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2560417842837225e+51	2.2501487344022583e+54
1.0ms	0.470654468652669	14.655273893188838

Compiler

Compiled 860 to 641 computations (25.5% saved)

bsearch66.0ms (0.8%)

Memory

-51.7MiB live, 67.4MiB allocated; 57ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	1.1849504712797484e+76	3.6844040047546e+78
11.0ms	0.470654468652669	14.655273893188838

Samples

47.0ms

128×

valid

Compiler

Compiled 820 to 625 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-exp: 38.0ms (87.2% of total)

ival-sin: 3.0ms (6.9% of total)

ival-mult: 2.0ms (4.6% of total)

ival-add: 1.0ms (2.3% of total)

ival-sub: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

10.7MiB live, 10.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1849504712797484e+76	3.6844040047546e+78
1.0ms	0.470654468652669	14.655273893188838

Compiler

Compiled 790 to 610 computations (22.8% saved)

bsearch28.0ms (0.3%)

Memory

-8.3MiB live, 36.9MiB allocated; 17ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1849504712797484e+76	3.6844040047546e+78
25.0ms	0.470654468652669	14.655273893188838

Samples

21.0ms

80×

valid

Compiler

Compiled 850 to 625 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (36.5% of total)

ival-sin: 2.0ms (36.5% of total)

ival-mult: 1.0ms (18.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Memory

4.6MiB live, 95.6MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.321654089510241e+74	8.373870713773668e+75
19.0ms	20209.506574937826	207528.8806051393

Samples

18.0ms

192×

valid

Compiler

Compiled 1 149 to 778 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 4.0ms (29.3% of total)

ival-exp: 3.0ms (22% of total)

ival-sub: 3.0ms (22% of total)

ival-mult: 2.0ms (14.6% of total)

ival-add: 1.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory

-12.9MiB live, 38.3MiB allocated; 24ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.321654089510241e+74	8.373870713773668e+75
10.0ms	0.470654468652669	14.655273893188838

Samples

6.0ms

64×

valid

Compiler

Compiled 1 262 to 868 computations (31.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

ival-sin: 1.0ms (24.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Memory

6.8MiB live, 103.0MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3865311724811353e+153	1.1703596066655918e+159
19.0ms	1.6471206018936764e+121	9.13612624180189e+124
2.0ms	0.470654468652669	14.655273893188838

Samples

25.0ms

272×

valid

Compiler

Compiled 2 108 to 1 501 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 8.0ms (44% of total)

ival-exp: 4.0ms (22% of total)

ival-mult: 3.0ms (16.5% of total)

ival-add: 1.0ms (5.5% of total)

ival-sub: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9987106253006662	+inf
0.0ms	-inf	-9.191220255211654e+132

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.631693460735891e-298	9.347823347737993e-296

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4953238966366407e-6	2.9146143854385108e-5

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	5.8292287708770216e-5	0.08449619811671172

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	5.8292287708770216e-5	0.08449619811671172

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	5.8292287708770216e-5	0.08449619811671172

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	5.8292287708770216e-5	0.08449619811671172

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06056425525878495	2.557762111560332e-308

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	5.8292287708770216e-5	0.08449619811671172

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	0.9208600572748078	0.9421977168967106

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	0.9208600572748078	0.9421977168967106

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify60.0ms (0.7%)

Memory

15.7MiB live, 61.6MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	269	2058
1	394	2048
2	802	2036
3	2615	2034

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 8 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re #s(approx (/ re (exp im)) (fma.f64 (neg.f64 re) im re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 21000 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7999999999999999412318249411849591388070425721595743098101171358242898444288 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 29/2 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (if (<=.f64 im #s(literal 7999999999999999412318249411849591388070425721595743098101171358242898444288 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 29/2 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (if (<=.f64 im #s(literal 17500000000000000564019894551442018056116217653579294975732493640598545065409155191322581232536063711610974730053934240497664 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (.f64 (.f64 #s(literal 1/12 binary64) re) im)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (.f64 (sin.f64 re) #s(approx (cosh im) #s(literal 1 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 5890680864316837/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (.f64 im im) (fma.f64 (.f64 (neg.f64 im) (fma.f64 #s(literal 1/4 binary64) re #s(literal 0 binary64))) im re) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (* re 1/6) (+ (* -1/2 re) (* 1/4 re))) (neg im)) (* 0 (* -1/2 re))) (.f64 (.f64 #s(literal 1/12 binary64) re) im)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (/.f64 (.f64 (neg.f64 (*.f64 im im)) (neg.f64 im)) im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (.f64 (fma.f64 im im #s(literal 2 binary64)) re)) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (exp im) re) (/ re (exp im))) (+ (* (* re re) -1/12) 1/2)) (.f64 (fma.f64 im im #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) #s(approx (+ (* (* (+ (* (* 0 (* -1/2 re)) im) re) im) im) (* 2 re)) (.f64 (.f64 im re) im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 7378697629483821/73786976294838206464 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2116691824864133/2251799813685248 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2116691824864133/2251799813685248 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
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(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (.f64 #s(literal 1/720 binary64) (.f64 im im))) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 6 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re (/.f64 re #s(approx (exp im) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 8 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re #s(approx (/ re (exp im)) (fma.f64 (neg.f64 re) im re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 8 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (exp.f64 im) re #s(approx (/ re (exp im)) (fma.f64 (neg.f64 re) im re))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 21000 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7999999999999999412318249411849591388070425721595743098101171358242898444288 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) re))) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))) (.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
(if (<=.f64 im #s(literal 21000 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7999999999999999412318249411849591388070425721595743098101171358242898444288 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (+ ( (exp im) re) (/ re (exp im))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) re (fma.f64 #s(literal -1/6 binary64) re (fma.f64 #s(literal 1/3 binary64) re (.f64 #s(literal -1/2 binary64) re)))) (neg.f64 im) #s(literal 0 binary64)) im re) (.f64 im im) (.f64 #s(literal 2 binary64) re))) #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/12 binary64)) re) re)))) (.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2116691824864133/2251799813685248 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 2116691824864133/2251799813685248 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2116691824864133/2251799813685248 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (+ (* (* im im) 1/2) 1) re) (.f64 (.f64 (*.f64 im re) im) #s(literal 1/2 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

derivations2.3s (26.3%)

Memory

-18.1MiB live, 2 177.3MiB allocated; 578ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	957
1	979	875
2	3867	830
0	8766	768
0	63	422
0	105	370
1	456	345
2	3591	345
0	9008	338
0	276	1140
1	1157	1014
2	5064	995
0	8179	903
0	11	34
0	18	30
1	64	26
2	460	24
0	5774	24
0	59	335
0	96	298
1	387	271
2	3119	271
0	8258	269
0	130	412
1	506	380
2	2053	365
0	8138	331
0	257	1007
1	1010	917
2	4340	859
0	9084	796
0	32	145
0	50	137
1	175	129
2	1190	129
0	8226	129

Stop Event

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

Compiler

Compiled 2 138 to 276 computations (87.1% saved)

preprocess145.0ms (1.7%)

Memory

5.5MiB live, 288.8MiB allocated; 24ms collecting garbage

Remove

(negabs re)

(abs im)

Compiler

Compiled 4 320 to 594 computations (86.3% saved)

end0.0ms (0%)

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