Metrics for math.sin on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

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)

sample1.4s (20.8%)

Memory

12.7MiB live, 795.4MiB allocated

Samples

969.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 692.0ms

ival-sin: 246.0ms (35.6% of total)

ival-exp: 174.0ms (25.2% of total)

ival-mult: 138.0ms (20% of total)

ival-add: 74.0ms (10.7% of total)

ival-sub: 40.0ms (5.8% of total)

exact: 10.0ms (1.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain157.0ms (2.3%)

Memory

-10.8MiB live, 201.2MiB allocated

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	(1.349495529303402e+131 230.18899946978897)	-	`(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

60.0ms

512×

valid

Compiler

Compiled 130 to 48 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 12.0ms (27.8% of total)

ival-sin: 12.0ms (27.8% of total)

ival-exp: 7.0ms (16.2% of total)

ival-mult: 7.0ms (16.2% of total)

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

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

exact: 1.0ms (2.3% of total)

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

preprocess106.0ms (1.5%)

Memory

18.3MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	94	55
2	358	55
3	877	55
4	1685	55
5	2296	55
6	2644	55
7	2937	55
8	3185	55
9	3261	55
10	3263	55
11	3263	55
12	3295	55
13	3300	55
14	3300	55
0	11	12
0	18	11
1	34	11
2	76	11
3	113	11
4	139	11
5	163	11
6	182	11
7	182	11
8	184	11
9	189	11
10	189	11
0	189	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

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)

simplify15.0ms (0.2%)

Memory

-24.9MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	64	(-.f64 #s(literal 0 binary64) im)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Stop Event

1×	iter limit
1×	saturated
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 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (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
(+.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)

localize35.0ms (0.5%)

Memory

-4.0MiB live, 74.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (-.f64 #s(literal 0 binary64) im))
accuracy	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

25.0ms

256×

valid

Compiler

Compiled 78 to 24 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (42.2% of total)

ival-exp: 3.0ms (18.1% of total)

ival-mult: 3.0ms (18.1% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

7 → 36

Calls

Call 1

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

Calls

6 calls:

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

simplify177.0ms (2.6%)

Memory

25.6MiB live, 219.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	412
1	419	380
2	1288	364
3	4277	347
4	5227	347
5	5793	347
6	6428	347
7	7715	347
0	8008	307

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(* 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 (* 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 (sin re))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* -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)))))))
(+ (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 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))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(exp (* -1 im))

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

rewrite125.0ms (1.8%)

Memory

-11.7MiB live, 195.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	18	30
1	59	26
2	397	24
0	4416	24

Stop Event

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

Counts

7 → 221

Calls

Call 1

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

eval29.0ms (0.4%)

Memory: -9.3MiB live, 68.7MiB allocated
Compiler: Compiled 5 531 to 910 computations (83.5% saved)

prune7.0ms (0.1%)

Memory

-17.4MiB live, 21.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	248	5	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	249	5	254

Accuracy

100.0%

Counts

254 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
▶	1.9%	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
▶	74.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	51.6%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Compiler

Compiled 150 to 122 computations (18.7% saved)

simplify130.0ms (1.9%)

Memory

24.1MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (exp.f64 im) #s(literal -2 binary64))
cost-diff	0	(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
cost-diff	6080	(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
cost-diff	0	(exp.f64 im)
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
cost-diff	14208	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im 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)) (fma.f64 im im #s(literal 2 binary64))))
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	(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	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	215
0	60	198
1	106	198
2	200	194
3	403	194
4	1060	194
5	1837	194
6	4040	194
7	6031	194
8	7118	194
9	7644	194
10	7819	194
11	7942	194
0	8030	194

Stop Event

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

Calls

Call 1

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

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

localize199.0ms (2.9%)

Memory

-21.5MiB live, 376.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
accuracy	0.7499979358302058	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
accuracy	30.005772787233095	(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
accuracy	30.015459521697196	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0	(exp.f64 im)
accuracy	0.0078125	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
accuracy	0.01171875	(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
accuracy	0.01171875	(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	0	(sin.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	1.313624707433252	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	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	1.5174435895455256	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(sin.f64 re)
accuracy	0	(cosh.f64 im)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))

Samples

59.0ms	54×	2	valid
50.0ms	121×	0	exit
47.0ms	73×	1	valid
2.0ms	8×	0	valid

Compiler

Compiled 420 to 72 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-exp: 27.0ms (23.3% of total)

ival-pow: 25.0ms (21.6% of total)

ival-mult: 21.0ms (18.1% of total)

adjust: 12.0ms (10.4% of total)

ival-sin: 7.0ms (6% of total)

ival-sub: 6.0ms (5.2% of total)

ival-add: 5.0ms (4.3% of total)

ival-cosh: 4.0ms (3.5% of total)

ival-pow2: 4.0ms (3.5% of total)

ival-div: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series38.0ms (0.6%)

Memory

27.3MiB live, 65.0MiB allocated

Counts

19 → 94

Calls

Call 1

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

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))))
(* re (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/12 (exp im)) (* 1/12 (/ 1 (exp im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (/ 1 (exp im)))))) (* 1/12 (/ 1 (exp im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (/ 1 (exp im))) (* (pow re 2) (- (* -1/10080 (exp im)) (* 1/10080 (/ 1 (exp im))))))))) (* 1/12 (/ 1 (exp im))))))))
(* 1/2 (/ re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/12 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/12 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
(* 1/2 (/ (* re (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))))))
(* 1/2 (/ re (exp im)))
(* re (+ (* -1/12 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im)))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (exp im))) (* 1/12 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im)))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (exp im))) (* 1/240 (/ 1 (exp im))))) (* 1/12 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (/ (sin re) (exp im))))
(* 1/2 (/ (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))
(* 1/2 (/ (sin re) (exp im)))
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)))))))
(+ (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
(+ 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)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1/2 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (* 1/4 (sin re))))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1/2 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (+ (* 1/4 (sin re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (+ (* -1/2 (sin re)) (* 1/6 (sin re))))) (* 1/12 (sin re)))))))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1/4 (/ (sin re) im))
(/ (+ (* -1/4 (sin re)) (* 1/24 (* (pow im 2) (sin re)))) im)
(/ (+ (* -1/4 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -1/240 (sin re)) (* 1/72 (sin re))))) (* 1/24 (sin re))))) im)
(/ (+ (* -1/4 (sin re)) (* (pow im 2) (+ (* 1/24 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -1/6 (+ (* -1/240 (sin re)) (* 1/72 (sin re)))) (+ (* -1/10080 (sin re)) (* 1/1440 (sin re)))))) (* -1/2 (+ (* -1/240 (sin re)) (* 1/72 (sin re))))))))) im)
(+ (sin re) (* 1/2 (* (pow im 2) (- (* 4/3 (sin re)) (* 1/3 (sin re))))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (sin re)) (+ (* 1/60 (sin re)) (* 1/6 (- (* 4/3 (sin re)) (* 1/3 (sin re)))))))) (* 1/2 (- (* 4/3 (sin re)) (* 1/3 (sin re)))))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (sin re)) (* 1/3 (sin re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (sin re)) (+ (* 1/2520 (sin re)) (+ (* 1/120 (- (* 4/3 (sin re)) (* 1/3 (sin re)))) (* 1/6 (- (* 4/15 (sin re)) (+ (* 1/60 (sin re)) (* 1/6 (- (* 4/3 (sin re)) (* 1/3 (sin re)))))))))))) (* 1/2 (- (* 4/15 (sin re)) (+ (* 1/60 (sin re)) (* 1/6 (- (* 4/3 (sin re)) (* 1/3 (sin re))))))))))))
(* -4 im)
(* im (- (* -8/3 (pow im 2)) 4))
(* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(+ (* -1/2 (* im (sin re))) (* 1/2 (sin re)))
(+ (* 1/2 (sin re)) (* im (+ (* -1/2 (sin re)) (* -1/2 (* im (+ (* -1 (sin re)) (* 1/2 (sin re))))))))
(+ (* 1/2 (sin re)) (* im (+ (* -1/2 (sin re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (+ (* -1/2 (sin re)) (* 1/6 (sin re)))))) (* -1/2 (+ (* -1 (sin re)) (* 1/2 (sin re)))))))))
1/2
(+ 1/2 (* -1/2 im))
(+ 1/2 (* im (- (* 1/4 im) 1/2)))
(+ 1/2 (* im (- (* im (+ 1/4 (* -1/12 im))) 1/2)))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(exp im)
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1/2 (exp im))
(- (exp (neg im)) (exp im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (/ (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp im))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	im	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (sin re) 1/2) (exp im) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (/ 1/2 (exp im)) (sin re)) (/ 1/2 (exp im)) (- (exp (neg im)) (exp im)))
7.0ms	re	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (sin re) 1/2) (exp im) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (/ 1/2 (exp im)) (sin re)) (/ 1/2 (exp im)) (- (exp (neg im)) (exp im)))
6.0ms	im	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (sin re) 1/2) (exp im) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (/ 1/2 (exp im)) (sin re)) (/ 1/2 (exp im)) (- (exp (neg im)) (exp im)))
6.0ms	im	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (sin re) 1/2) (exp im) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (/ 1/2 (exp im)) (sin re)) (/ 1/2 (exp im)) (- (exp (neg im)) (exp im)))
5.0ms	re	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (sin re) 1/2) (exp im) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2)) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (pow (- (exp (neg im)) (exp im)) -1) (* (sin re) 1/2))) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (/ 1/2 (exp im)) (sin re)) (/ 1/2 (exp im)) (- (exp (neg im)) (exp im)))

simplify179.0ms (2.6%)

Memory

-9.9MiB live, 220.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	1672
1	1467	1542
2	4414	1379
3	7055	1379
0	8679	1263

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

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))))
(* re (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/12 (exp im)) (* 1/12 (/ 1 (exp im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (/ 1 (exp im)))))) (* 1/12 (/ 1 (exp im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (/ 1 (exp im))) (* (pow re 2) (- (* -1/10080 (exp im)) (* 1/10080 (/ 1 (exp im))))))))) (* 1/12 (/ 1 (exp im))))))))
(* 1/2 (/ re (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/12 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/12 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
(* 1/2 (/ (* re (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))
(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))))))
(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))))))
(* 1/2 (/ re (exp im)))
(* re (+ (* -1/12 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im)))))
(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (exp im))) (* 1/12 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im)))))
(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (exp im))) (* 1/240 (/ 1 (exp im))))) (* 1/12 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (/ (sin re) (exp im))))
(* 1/2 (/ (sin re) (- (exp (neg im)) (exp im))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))
(* 1/2 (/ (sin re) (exp im)))
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)))))))
(+ (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
(+ 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)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1/2 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (* 1/4 (sin re))))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* -1/2 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (+ (* 1/4 (sin re)) (* im (+ (* -1/2 (+ (* -1 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (+ (* -1/2 (sin re)) (* 1/6 (sin re))))) (* 1/12 (sin re)))))))))))
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1/4 (/ (sin re) im))
(/ (+ (* -1/4 (sin re)) (* 1/24 (* (pow im 2) (sin re)))) im)
(/ (+ (* -1/4 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -1/240 (sin re)) (* 1/72 (sin re))))) (* 1/24 (sin re))))) im)
(/ (+ (* -1/4 (sin re)) (* (pow im 2) (+ (* 1/24 (sin re)) (* (pow im 2) (+ (* -1/2 (* (pow im 2) (+ (* -1/6 (+ (* -1/240 (sin re)) (* 1/72 (sin re)))) (+ (* -1/10080 (sin re)) (* 1/1440 (sin re)))))) (* -1/2 (+ (* -1/240 (sin re)) (* 1/72 (sin re))))))))) im)
(+ (sin re) (* 1/2 (* (pow im 2) (- (* 4/3 (sin re)) (* 1/3 (sin re))))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 4/15 (sin re)) (+ (* 1/60 (sin re)) (* 1/6 (- (* 4/3 (sin re)) (* 1/3 (sin re)))))))) (* 1/2 (- (* 4/3 (sin re)) (* 1/3 (sin re)))))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (- (* 4/3 (sin re)) (* 1/3 (sin re)))) (* (pow im 2) (+ (* 1/2 (* (pow im 2) (- (* 8/315 (sin re)) (+ (* 1/2520 (sin re)) (+ (* 1/120 (- (* 4/3 (sin re)) (* 1/3 (sin re)))) (* 1/6 (- (* 4/15 (sin re)) (+ (* 1/60 (sin re)) (* 1/6 (- (* 4/3 (sin re)) (* 1/3 (sin re)))))))))))) (* 1/2 (- (* 4/15 (sin re)) (+ (* 1/60 (sin re)) (* 1/6 (- (* 4/3 (sin re)) (* 1/3 (sin re))))))))))))
(* -4 im)
(* im (- (* -8/3 (pow im 2)) 4))
(* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(+ (* -1/2 (* im (sin re))) (* 1/2 (sin re)))
(+ (* 1/2 (sin re)) (* im (+ (* -1/2 (sin re)) (* -1/2 (* im (+ (* -1 (sin re)) (* 1/2 (sin re))))))))
(+ (* 1/2 (sin re)) (* im (+ (* -1/2 (sin re)) (* im (+ (* -1/2 (* im (+ (* -1 (+ (* -1 (sin re)) (* 1/2 (sin re)))) (+ (* -1/2 (sin re)) (* 1/6 (sin re)))))) (* -1/2 (+ (* -1 (sin re)) (* 1/2 (sin re)))))))))
1/2
(+ 1/2 (* -1/2 im))
(+ 1/2 (* im (- (* 1/4 im) 1/2)))
(+ 1/2 (* im (- (* im (+ 1/4 (* -1/12 im))) 1/2)))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(exp im)
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1/2 (exp im))
(- (exp (neg im)) (exp im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (/ (sin re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (* -1 im)) (exp im))))
(- (exp (* -1 im)) (exp 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 (.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 (+ (* 1/2 (+ (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)))))))))
(.f64 (fma.f64 (.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 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* 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))))
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(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 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 (.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 (+ (* 1/2 (+ (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)))))))))
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(* 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))))))))))
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(*.f64 #s(literal 1/2 binary64) re)
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(.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))))
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(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
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(* re (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im)))))
(.f64 (.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (* -1/12 (exp im)) (* 1/12 (/ 1 (exp im))))))))
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(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (/ 1 (exp im)))))) (* 1/12 (/ 1 (exp im))))))))
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(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (/ 1 (exp im))) (* (pow re 2) (- (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (/ 1 (exp im))) (* (pow re 2) (- (* -1/10080 (exp im)) (* 1/10080 (/ 1 (exp im))))))))) (* 1/12 (/ 1 (exp im))))))))
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(* 1/2 (/ re (- (exp (neg im)) (exp im))))
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(* re (+ (* -1/12 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
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(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/12 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
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(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/240 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/12 (/ 1 (- (exp (neg im)) (exp im)))))) (* 1/2 (/ 1 (- (exp (neg im)) (exp im))))))
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(* 1/2 (/ (* re (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))
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(* re (+ (* -1/12 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))
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(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* 1/240 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im))))))))
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(* re (+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/12 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im)))) (* (pow re 2) (+ (* -1/10080 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (neg im)) (exp im)))) (* 1/240 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (- (exp (neg im)) (exp im))))))))))
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(* 1/2 (/ re (exp im)))
(*.f64 (/.f64 re (exp.f64 im)) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (/ (pow re 2) (exp im))) (* 1/2 (/ 1 (exp im)))))
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(* re (+ (* (pow re 2) (- (* 1/240 (/ (pow re 2) (exp im))) (* 1/12 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im)))))
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(* re (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1/10080 (/ (pow re 2) (exp im))) (* 1/240 (/ 1 (exp im))))) (* 1/12 (/ 1 (exp im))))) (* 1/2 (/ 1 (exp im)))))
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(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(sin re)
(sin.f64 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))
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1
#s(literal 1 binary64)
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#s(literal 2 binary64)
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(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
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(sin.f64 re)
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(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
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1/2
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(+ 1/2 (* -1/2 im))
(fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64))
(+ 1/2 (* im (- (* 1/4 im) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) im #s(literal -1/2 binary64)) im #s(literal 1/2 binary64))
(+ 1/2 (* im (- (* im (+ 1/4 (* -1/12 im))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) im #s(literal 1/4 binary64)) im #s(literal -1/2 binary64)) im #s(literal 1/2 binary64))
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.f64 im)
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1/2 (exp im))
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.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))
(* 1/2 (/ (sin re) (- (exp (* -1 im)) (exp im))))
(*.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (sin re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (sin.f64 re) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite139.0ms (2%)

Memory

-11.5MiB live, 236.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	157
0	60	131
1	210	119
2	1184	119
0	8829	118

Stop Event

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

Counts

19 → 602

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1/2 binary64))
(.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (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) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.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 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.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 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(cosh.f64 im)
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(+.f64 (.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) #s(literal 1/2 binary64))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.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 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.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) (cosh.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (.f64 (sin.f64 re) (cosh.f64 im)) #s(literal 1 binary64))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) (cosh.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))) (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (neg.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
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(/.f64 (-.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 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))))
(/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64)))) (/.f64 (exp.f64 (neg.f64 im)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (/.f64 (exp.f64 (neg.f64 im)) (pow.f64 (+.f64 (expm1.f64 (.f64 #s(literal 2 binary64) im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (cosh.f64 im)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (neg.f64 im)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 (exp.f64 (neg.f64 im)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 im)) #s(literal -1 binary64)) (neg.f64 (exp.f64 im)))
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(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (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))))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (exp.f64 im) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(-.f64 (/.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64)) (exp.f64 im))
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(-.f64 (/.f64 (/.f64 (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)))) #s(literal 1 binary64)) (/.f64 (/.f64 (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)))) #s(literal 1 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(-.f64 (/.f64 (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 (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 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(+.f64 (/.f64 (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)))) (neg.f64 (/.f64 (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 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))

eval94.0ms (1.4%)

Memory: 17.1MiB live, 175.3MiB allocated
Compiler: Compiled 23 265 to 2 457 computations (89.4% saved)

prune21.0ms (0.3%)

Memory

-18.3MiB live, 59.1MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	701	13	714
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	705	14	719

Accuracy

100.0%

Counts

719 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
	1.1%	(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	74.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
▶	90.3%	(.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))
	88.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
▶	37.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	48.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.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)))
▶	52.6%	(.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)) (fma.f64 im im #s(literal 2 binary64))))
	34.1%	(.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)))
	45.9%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	25.9%	(.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)))
	51.6%	#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))

Compiler

Compiled 595 to 454 computations (23.7% saved)

simplify45.0ms (0.7%)

Memory

21.6MiB live, 66.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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))
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 (* 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)))
cost-diff	0	(.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))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
cost-diff	0	(.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)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.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)))
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	45	343
0	72	333
1	122	333
2	205	333
3	461	333
4	1076	333
5	1870	333
6	2179	333
7	2208	333
8	2248	333
9	2249	333
0	2249	333

Stop Event

1×	iter limit
1×	saturated
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 #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)
#s(literal 1/2 binary64)
re
#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 re re) #s(literal -1/12 binary64) #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)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal 1/240 binary64)
#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)
(.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 (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)
(sin.f64 re)
re

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 #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 #s(literal 1/2 binary64) re)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#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 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(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)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal 1/240 binary64)
#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)
(.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 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 (.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)
(sin.f64 re)
re

localize124.0ms (1.8%)

Memory

-20.7MiB live, 214.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(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	0.0390625	(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	0.09375	(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy	6.134466381589863	#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)))
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
accuracy	0.27920627102034346	(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
accuracy	30.821464847354896	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	31.835936557344404	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
accuracy	0.0703125	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
accuracy	0.11556625976844202	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	15.894877659094881	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	31.826876436068073	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy	0	(*.f64 #s(literal 1/2 binary64) re)
accuracy	0.0078125	(.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)))
accuracy	30.821464847354896	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	31.788745585159496	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	0	(sin.f64 re)
accuracy	0	(cosh.f64 im)
accuracy	0.0078125	(*.f64 (sin.f64 re) (cosh.f64 im))

Samples

92.0ms

256×

valid

Compiler

Compiled 590 to 91 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 27.0ms (37.4% of total)

const: 14.0ms (19.4% of total)

ival-add: 10.0ms (13.9% of total)

ival-sin: 10.0ms (13.9% of total)

ival-cosh: 4.0ms (5.5% of total)

ival-exp: 3.0ms (4.2% of total)

ival-sub: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

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

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

series23.0ms (0.3%)

Memory

-2.0MiB live, 36.7MiB allocated

Counts

23 → 78

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 #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)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(.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 (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))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 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)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
1/240
(+ 1/240 (* -1/10080 (pow re 2)))
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/10080 (pow re 7))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1/10080 (pow re 6))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1/10080 (pow re 2))
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* -1/10080 (pow re 4))
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))))))
(+ (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)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg 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))))))
(* 1/720 (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))))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24))
3.0ms	re	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24))
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)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24))
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)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24))
2.0ms	re	@	0	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* 1/2 re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (exp (- 0 im)) (exp im)) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24))

simplify124.0ms (1.8%)

Memory

24.1MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	964
1	694	903
2	1925	885
3	4762	869
4	6432	869
0	8058	804

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

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)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
1/240
(+ 1/240 (* -1/10080 (pow re 2)))
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/10080 (pow re 7))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1/10080 (pow re 6))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1/10080 (pow re 2))
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* -1/10080 (pow re 4))
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2))))))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))))))
(+ (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)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg 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))))))
(* 1/720 (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))))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (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 (.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)
(* 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)))))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.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 (+ (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))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 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 (.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)
(* 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)))))))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.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 (+ (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))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 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 (fma.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))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* -1/10080 (pow re 2)))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
-1/12
#s(literal -1/12 binary64)
(- (* 1/240 (pow re 2)) 1/12)
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* -1/12 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/12 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) 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))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(* -1/10080 (pow re 7))
(*.f64 (pow.f64 re #s(literal 7 binary64)) #s(literal -1/10080 binary64))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64)))
(* (pow re 7) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 re re)))) (pow.f64 re #s(literal 7 binary64)))
(* (pow re 7) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 7 binary64)))
(* -1/10080 (pow re 6))
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/10080 binary64))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)))
(* (pow re 6) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 re re)))))
(* (pow re 6) (- (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 6 binary64)))
(* -1/10080 (pow re 2))
(.f64 #s(literal -1/10080 binary64) (.f64 re re))
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(* -1/10080 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/10080 binary64))
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)))
(* (pow re 4) (- (* 1/240 (/ 1 (pow re 2))) (+ 1/10080 (/ 1/12 (pow re 4)))))
(.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 re re)))) (pow.f64 re #s(literal 4 binary64)))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* -1 (* (pow re 7) (- 1/10080 (* 1/240 (/ 1 (pow re 2))))))
(.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) (pow.f64 re #s(literal 7 binary64)))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (* 1/240 (/ 1 (pow re 2))))))
(.f64 (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/10080 binary64) (/.f64 #s(literal 1/240 binary64) (.f64 re re)))) (pow.f64 re #s(literal 7 binary64)))
(* -1 (* (pow re 7) (- (+ 1/10080 (/ 1/12 (pow re 4))) (+ (* 1/240 (/ 1 (pow re 2))) (* 1/2 (/ 1 (pow re 6)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/240 binary64) (.f64 re re))) (-.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/10080 binary64))) (pow.f64 re #s(literal 7 binary64)))
(+ (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 (.f64 (sin.f64 re) (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) (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))
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)))
(+ 1/2 (* 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))
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 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (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))
(* 1/720 (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 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (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))
(* 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))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite173.0ms (2.5%)

Memory

-10.2MiB live, 272.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	297
0	72	288
1	250	278
2	1624	278
0	8520	278

Stop Event

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

Counts

23 → 398

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 #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)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(.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 (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))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))

Outputs
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cosh.f64 im) (sin.f64 re)))
(.f64 (.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(/.f64 (.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(sin.f64 re)
(.f64 (/.f64 (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(.f64 (neg.f64 (.f64 #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 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (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) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
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(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) im) im #s(literal 1/24 binary64))
(fma.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 #s(literal 1/720 binary64) im) #s(literal 1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 im im) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(+.f64 (.f64 (.f64 im im) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (.f64 (.f64 im im) #s(literal 1/720 binary64)))

eval65.0ms (1%)

Memory: 17.1MiB live, 136.7MiB allocated
Compiler: Compiled 19 646 to 2 308 computations (88.3% saved)

prune27.0ms (0.4%)

Memory

-13.4MiB live, 64.2MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	460	13	473
Fresh	3	5	8
Picked	2	3	5
Done	0	1	1
Total	465	22	487

Accuracy

100.0%

Counts

487 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
	1.1%	(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	74.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	88.3%	(.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))))
	54.8%	(.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))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re)))
	90.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	90.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
▶	89.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	26.5%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	52.6%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	37.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	36.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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)))
	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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)))
▶	48.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
	34.1%	(.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)))
	15.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	45.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	54.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
	53.0%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
✓	25.9%	(.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)))
▶	51.6%	#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))

Compiler

Compiled 1 139 to 812 computations (28.7% saved)

simplify25.0ms (0.4%)

Memory

1.5MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
cost-diff	0	(sin.f64 re)
cost-diff	0	#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
cost-diff	0	(fma.f64 (fma.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 (fma.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 (fma.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 (fma.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))))
cost-diff	0	#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(exp.f64 im)
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
cost-diff	14208	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	408
0	90	400
1	146	390
2	230	390
3	386	378
4	520	378
5	623	378
6	693	378
7	709	378
8	721	378
9	733	378
10	769	378
0	769	370

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 im)
im
(.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #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)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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)) (.f64 (fma.f64 (fma.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 (fma.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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 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)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
(sin.f64 re)
re
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im)
(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 binary64)
(sin.f64 re)
re

Outputs
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 im)
im
(.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.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 (fma.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 (fma.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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 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)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
(sin.f64 re)
re
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im))
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im) im)
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im)
(.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) im)
(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 binary64)
(sin.f64 re)
re

localize148.0ms (2.2%)

Memory

4.9MiB live, 280.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)
accuracy	0.23828125	(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im)
accuracy	6.134466381589863	#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
accuracy	31.495680423275044	#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
accuracy	0	(sin.f64 re)
accuracy	30.962297322727817	#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
accuracy	0.04296875	(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
accuracy	0.26142768631840607	(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
accuracy	15.894877659094881	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	31.916842726276414	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
accuracy	0.0703125	(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
accuracy	15.894877659094881	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	31.826876436068073	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
accuracy	32.51848914380988	#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	0.0078125	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
accuracy	0.01171875	(.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))

Samples

103.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 677 to 116 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 30.0ms (36.4% of total)

ival-add: 16.0ms (19.4% of total)

const: 13.0ms (15.8% of total)

ival-exp: 8.0ms (9.7% of total)

ival-sin: 7.0ms (8.5% of total)

ival-cosh: 3.0ms (3.6% of total)

ival-div: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series21.0ms (0.3%)

Memory

7.8MiB live, 49.1MiB allocated

Counts

23 → 104

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
(exp.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #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)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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)) (.f64 (fma.f64 (fma.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 (fma.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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
(.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(exp.f64 (neg.f64 im))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im)
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	-inf	((+ (* (* (sin re) 1/2) (exp im)) (* (* (exp (neg im)) 1/2) (sin re))) (* (sin re) 1/2) (sin re) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 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) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* (exp (neg im)) 1/2) (sin re)) (exp (neg im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* (+ (* 1/720 (* im im)) 1/24) im) (* (* (+ (* 1/720 (* im im)) 1/24) im) im))
3.0ms	im	@	inf	((+ (* (* (sin re) 1/2) (exp im)) (* (* (exp (neg im)) 1/2) (sin re))) (* (sin re) 1/2) (sin re) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 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) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* (exp (neg im)) 1/2) (sin re)) (exp (neg im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* (+ (* 1/720 (* im im)) 1/24) im) (* (* (+ (* 1/720 (* im im)) 1/24) im) im))
3.0ms	re	@	inf	((+ (* (* (sin re) 1/2) (exp im)) (* (* (exp (neg im)) 1/2) (sin re))) (* (sin re) 1/2) (sin re) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 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) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* (exp (neg im)) 1/2) (sin re)) (exp (neg im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* (+ (* 1/720 (* im im)) 1/24) im) (* (* (+ (* 1/720 (* im im)) 1/24) im) im))
3.0ms	im	@	-inf	((+ (* (* (sin re) 1/2) (exp im)) (* (* (exp (neg im)) 1/2) (sin re))) (* (sin re) 1/2) (sin re) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 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) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* (exp (neg im)) 1/2) (sin re)) (exp (neg im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* (+ (* 1/720 (* im im)) 1/24) im) (* (* (+ (* 1/720 (* im im)) 1/24) im) im))
2.0ms	re	@	0	((+ (* (* (sin re) 1/2) (exp im)) (* (* (exp (neg im)) 1/2) (sin re))) (* (sin re) 1/2) (sin re) (exp im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 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) (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* (* (exp (neg im)) 1/2) (sin re)) (exp (neg im)) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12) (* (+ (* 1/720 (* im im)) 1/24) im) (* (* (+ (* 1/720 (* im im)) 1/24) im) im))

simplify153.0ms (2.2%)

Memory

-12.4MiB live, 220.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	1414
1	1279	1268
2	3628	1223
0	8078	1133

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 103

Calls

Call 1

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

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

rewrite187.0ms (2.7%)

Memory

-0.7MiB live, 322.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	346
0	90	336
1	293	320
2	1728	320
0	8242	312

Stop Event

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

Counts

23 → 369

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
(exp.f64 im)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #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)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (* re re) -1/12) 1/2) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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)) (.f64 (fma.f64 (fma.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 (fma.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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))
(.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re))
(exp.f64 (neg.f64 im))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im)
(.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)

Outputs
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (sin.f64 re)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (-.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.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)))))
(.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (-.f64 (.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))))))))
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eval67.0ms (1%)

Memory: 1.4MiB live, 114.9MiB allocated
Compiler: Compiled 19 222 to 2 047 computations (89.4% saved)

prune27.0ms (0.4%)

Memory

19.6MiB live, 58.2MiB allocated

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	474	7	481
Fresh	4	9	13
Picked	1	4	5
Done	0	4	4
Total	479	24	503

Accuracy

100.0%

Counts

503 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re)))
	1.1%	(.f64 (-.f64 #s(approx (pow (exp im) -2) (fma.f64 #s(literal -2 binary64) im #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
✓	74.9%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	88.3%	(.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))))
	90.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
✓	89.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	54.5%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)))
	87.9%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	26.5%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	52.6%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	37.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	36.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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)))
	33.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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)))
	48.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	34.1%	(.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)))
	48.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	44.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	15.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	54.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
	53.0%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
✓	45.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	25.9%	(.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)))
✓	51.6%	#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))

Compiler

Compiled 1 796 to 741 computations (58.7% saved)

regimes74.0ms (1.1%)

Memory

-22.6MiB live, 136.7MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
11.0ms	(sin.f64 re)
11.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
11.0ms	re

Results

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

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes59.0ms (0.9%)

Memory

9.4MiB live, 90.2MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

(*.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))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)))

Calls

6 calls:

12.0ms	re
11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	im
9.0ms	(sin.f64 re)
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
90.3%	1	`re`
94.2%	3	`im`
94.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
90.3%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
90.3%	1	`(sin.f64 re)`
90.3%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)))

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
94.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes23.0ms (0.3%)

Memory

-13.7MiB live, 22.7MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) 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 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
(.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))

Outputs

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

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

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

Calls

2 calls:

14.0ms	im
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
94.2%	3	`im`
94.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) 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 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

Outputs

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

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

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

Calls

1 calls:

8.0ms

im

Results

Accuracy	Segments	Branch
94.1%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) 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 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

2 calls:

8.0ms	im
7.0ms	(.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
93.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
93.0%	3	`im`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes55.0ms (0.8%)

Memory

-19.1MiB live, 53.7MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) 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))))

Outputs

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

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

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

Calls

6 calls:

13.0ms	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)))
7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	(sin.f64 re)
7.0ms	im

Results

Accuracy	Segments	Branch
93.0%	3	`im`
88.3%	1	`re`
88.3%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
88.3%	1	`(sin.f64 re)`
88.3%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
92.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

Outputs

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

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

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

Calls

1 calls:

7.0ms

im

Results

Accuracy	Segments	Branch
93.0%	3	`im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.3%)

Memory

-29.9MiB live, 19.5MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

2 calls:

15.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms	im

Results

Accuracy	Segments	Branch
92.4%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
87.6%	3	`im`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes31.0ms (0.5%)

Memory

24.6MiB live, 62.6MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 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(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

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

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

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

Calls

5 calls:

8.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	re
6.0ms	(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)))
5.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
74.9%	1	`re`
74.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
74.9%	1	`(sin.f64 re)`
83.7%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
87.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes14.0ms (0.2%)

Memory

-9.6MiB live, 28.9MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

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

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

Calls

2 calls:

8.0ms	im
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
83.4%	2	`im`
87.5%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes32.0ms (0.5%)

Memory

18.6MiB live, 57.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (.f64 re re)) re) (.f64 #s(literal 1/2 binary64) re)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

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

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

Calls

6 calls:

7.0ms	(sin.f64 re)
5.0ms	re
5.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms	im
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
54.9%	2	`re`
62.8%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.8%	2	`(sin.f64 re)`
58.4%	2	`im`
58.0%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
62.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes13.0ms (0.2%)

Memory

-20.7MiB live, 23.8MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re))) (.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 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im 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)) (fma.f64 im im #s(literal 2 binary64))))

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

Calls

2 calls:

8.0ms	(sin.f64 re)
5.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
62.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.4%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes11.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im 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)) (fma.f64 im im #s(literal 2 binary64))))

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

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
62.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
62.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.3%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes13.0ms (0.2%)

Memory

-23.4MiB live, 14.7MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(.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)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) #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

(*.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)) (fma.f64 im im #s(literal 2 binary64))))

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.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)))

Calls

3 calls:

6.0ms	(*.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
60.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
61.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
61.7%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
60.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
60.1%	2	`(sin.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes8.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
59.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
59.9%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes13.0ms (0.2%)

Memory

-21.6MiB live, 16.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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)))

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

Calls

5 calls:

4.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	(sin.f64 re)
2.0ms	im
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
45.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
49.6%	2	`im`
55.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
55.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
55.1%	2	`(sin.f64 re)`

Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes10.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.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)))

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
45.9%	1	`im`
45.9%	1	`re`
45.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
45.9%	1	`(sin.f64 re)`
45.9%	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 20 to 23 computations (-15% saved)

regimes8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

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

Outputs
(.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)))

Calls

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

Results

Accuracy	Segments	Branch
25.9%	1	`im`
25.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
25.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
25.9%	1	`re`
25.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
25.9%	1	`(sin.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.231937612243254e+99	+inf
0.0ms	-inf	-0.9999976363506387

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.231937612243254e+99	+inf
0.0ms	-inf	-0.9999976363506387

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch19.0ms (0.3%)

Memory

-20.0MiB live, 18.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.1020042431200094e+51	2.222214811794298e+53
0.0ms	171562827.15955997	176767618.25900063

Samples

12.0ms

112×

valid

Compiler

Compiled 547 to 401 computations (26.7% saved)

Precisions

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

ival-sin: 3.0ms (41.8% of total)

ival-exp: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

ival-mult: 1.0ms (13.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.1020042431200094e+51	2.222214811794298e+53
0.0ms	171562827.15955997	176767618.25900063

Compiler

Compiled 547 to 401 computations (26.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.61604162486704	4.231937612243254e+99
0.0ms	-inf	-0.9999976363506387

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch19.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.029568907890672e+69	1.0551985635782542e+72
0.0ms	171562827.15955997	176767618.25900063

Samples

11.0ms

128×

valid

Compiler

Compiled 479 to 376 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sin: 3.0ms (38.7% of total)

ival-exp: 2.0ms (25.8% of total)

ival-mult: 2.0ms (25.8% of total)

ival-sub: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.029568907890672e+69	1.0551985635782542e+72
0.0ms	171562827.15955997	176767618.25900063

Compiler

Compiled 679 to 456 computations (32.8% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.61604162486704	4.231937612243254e+99
0.0ms	-inf	-0.9999976363506387

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch5.0ms (0.1%)

Memory

-41.0MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.231937612243254e+99	+inf
0.0ms	-inf	-0.9999976363506387

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.231937612243254e+99	+inf
0.0ms	-inf	-0.9999976363506387

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.592596443149401e-303	5.13841643344304e-300

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.592596443149401e-303	5.13841643344304e-300

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.60214852217631e-5	0.018749514974963768

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.768667668307878e-6	9.60214852217631e-5

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.60214852217631e-5	0.018749514974963768

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	3.592596443149401e-303

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.00039361267422693486	5.13841643344304e-300

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify37.0ms (0.5%)

Memory

35.3MiB live, 71.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	1585
1	230	1585
2	236	1585
3	239	1585
4	240	1585

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(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)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.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))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)))))
(if (<=.f64 im #s(literal 175000000 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) (.f64 #s(approx (* 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))))
(if (<=.f64 im #s(literal 175000000 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 7200000000000000217036429612386896011285712838066176 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) im) im)) (.f64 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)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp 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)) (fma.f64 im im #s(literal 2 binary64)))))))
(if (<=.f64 im #s(literal 175000000 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (if (<=.f64 im #s(literal 1050000000000000068495530496276252590674557994377302135200425052334981120 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))))
(if (<=.f64 im #s(literal 175000000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 1050000000000000068495530496276252590674557994377302135200425052334981120 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) #s(approx (* (* (+ (* 1/720 (* im im)) 1/24) im) im) (.f64 (.f64 im im) #s(literal 1/24 binary64)))) (*.f64 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)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp im)) (* (/ 1/2 (exp im)) (sin re))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))))
(if (<=.f64 (sin.f64 re) #s(literal 1930258305619341/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #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)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal 1930258305619341/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) re) re #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 #s(approx (+ ( 1/240 (* re re)) -1/12) (.f64 #s(literal 1/240 binary64) (.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(if (<=.f64 (sin.f64 re) #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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 -7378697629483821/36893488147419103232 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))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.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)))

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (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)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 5000000000000000079514455548799590234180404281972640694890663778873919386085190530406734992928407552 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.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))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re)))))
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(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.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))))
(if (<=.f64 (sin.f64 re) #s(literal 5902958103587057/1180591620717411303424 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)) (fma.f64 im 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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))))
(if (<=.f64 (sin.f64 re) #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)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 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 -7378697629483821/36893488147419103232 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))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -7378697629483821/36893488147419103232 binary64)) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.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)))
(.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)))

soundness2.0s (29.1%)

Memory

-7.1MiB live, 1 283.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	964
1	694	903
2	1925	885
3	4762	869
4	6432	869
0	8058	804
0	36	157
0	60	131
1	210	119
2	1184	119
0	8829	118
0	11	34
0	18	30
1	59	26
2	397	24
0	4416	24
0	459	1672
1	1467	1542
2	4414	1379
3	7055	1379
0	8679	1263
0	130	412
1	419	380
2	1288	364
3	4277	347
4	5227	347
5	5793	347
6	6428	347
7	7715	347
0	8008	307
0	377	1414
1	1279	1268
2	3628	1223
0	8078	1133
0	60	346
0	90	336
1	293	320
2	1728	320
0	8242	312
0	45	297
0	72	288
1	250	278
2	1624	278
0	8520	278

Stop Event

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

Compiler

Compiled 3 305 to 1 554 computations (53% saved)

preprocess227.0ms (3.3%)

Memory

-2.9MiB live, 277.7MiB allocated

Remove

(negabs re)

(abs im)

Compiler

Compiled 3 254 to 462 computations (85.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	60	408
0	90	400
1	146	390
2	230	390
3	386	378
4	520	378
5	623	378
6	693	378
7	709	378
8	721	378
9	733	378
10	769	378
0	769	370

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	60	408
0	90	400
1	146	390
2	230	390
3	386	378
4	520	378
5	623	378
6	693	378
7	709	378
8	721	378
9	733	378
10	769	378
0	769	370

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (20.8%)

explain157.0ms (2.3%)

preprocess106.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.2%)

localize35.0ms (0.5%)

series8.0ms (0.1%)

simplify177.0ms (2.6%)

rewrite125.0ms (1.8%)

eval29.0ms (0.4%)

prune7.0ms (0.1%)

simplify130.0ms (1.9%)

localize199.0ms (2.9%)

series38.0ms (0.6%)

simplify179.0ms (2.6%)

rewrite139.0ms (2%)

eval94.0ms (1.4%)

prune21.0ms (0.3%)

simplify45.0ms (0.7%)

localize124.0ms (1.8%)

series23.0ms (0.3%)

simplify124.0ms (1.8%)

rewrite173.0ms (2.5%)

eval65.0ms (1%)

prune27.0ms (0.4%)

simplify25.0ms (0.4%)

localize148.0ms (2.2%)

series21.0ms (0.3%)

simplify153.0ms (2.2%)

rewrite187.0ms (2.7%)

eval67.0ms (1%)

prune27.0ms (0.4%)

regimes74.0ms (1.1%)

regimes59.0ms (0.9%)

regimes10.0ms (0.1%)

regimes23.0ms (0.3%)

regimes9.0ms (0.1%)

regimes16.0ms (0.2%)

regimes55.0ms (0.8%)

regimes8.0ms (0.1%)

regimes23.0ms (0.3%)

regimes31.0ms (0.5%)

regimes14.0ms (0.2%)

regimes32.0ms (0.5%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch19.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch19.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (0.5%)

soundness2.0s (29.1%)

preprocess227.0ms (3.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	60	408
0	90	400
1	146	390
2	230	390
3	386	378
4	520	378
5	623	378
6	693	378
7	709	378
8	721	378
9	733	378
10	769	378
0	769	370