Metrics for math.sin on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 (15.4%)

Memory

23.9MiB live, 1 399.6MiB allocated

Samples

916.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 670.0ms

ival-sin: 322.0ms (48% of total)

ival-exp: 139.0ms (20.7% of total)

ival-mult: 111.0ms (16.6% of total)

ival-add: 43.0ms (6.4% of total)

ival-sub: 38.0ms (5.7% of total)

exact: 8.0ms (1.2% of total)

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

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain386.0ms (4.4%)

Memory

-8.4MiB live, 164.6MiB 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	(-9.4360097476341e-50 -485.58536566077413)	-	`(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

48.0ms

512×

valid

Compiler

Compiled 168 to 72 computations (57.1% saved)

Precisions

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

ival-sin: 12.0ms (39.1% of total)

ival-exp: 7.0ms (22.8% of total)

ival-mult: 6.0ms (19.5% of total)

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

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

exact: 1.0ms (3.3% of total)

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

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

preprocess112.0ms (1.3%)

Memory

17.2MiB live, 50.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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)

localize56.0ms (0.6%)

Memory

-34.7MiB live, 50.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0.0078125	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
accuracy	0.0078125	(sin.f64 re)
accuracy	0.015625	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Samples

46.0ms

256×

valid

Compiler

Compiled 78 to 24 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-exp: 21.0ms (63.5% of total)

ival-sin: 6.0ms (18.2% of total)

ival-mult: 3.0ms (9.1% of total)

ival-sub: 1.0ms (3% of total)

ival-add: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

6 → 31

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)

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

Calls

6 calls:

Time	Variable		Point	Expression
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))
1.0ms	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))
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))
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))
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))

simplify371.0ms (4.2%)

Memory

16.3MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	380
1	393	349
2	1236	333
3	4153	316
4	5063	316
5	5499	316
6	5812	316
7	6606	316
8	7707	316
0	8076	281

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

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))))))
(+ (exp im) (exp (neg im)))
(exp im)
(+ (exp im) (exp (* -1 im)))
(* 1/2 (* (sin re) (+ (exp 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))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp im)
(exp.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)))

rewrite136.0ms (1.5%)

Memory

1.2MiB live, 162.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	18	27
1	59	23
2	397	21
0	4416	21

Stop Event

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

Counts

6 → 209

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)

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)))
(.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (.f64 (neg.f64 im) im))
(.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 im im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (.f64 im im))
(.f64 (/.f64 (.f64 im im) (*.f64 (neg.f64 im) im)) im)
(.f64 (/.f64 (.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im))
(.f64 (/.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im))
(.f64 (/.f64 (.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (pow.f64 im #s(literal -1 binary64)) (.f64 (neg.f64 im) im))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)))
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(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)

eval38.0ms (0.4%)

Memory: -20.5MiB live, 54.3MiB allocated
Compiler: Compiled 5 295 to 855 computations (83.9% saved)

prune5.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	234	4	238

Accuracy

100.0%

Counts

238 → 4

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 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
▶	44.4%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
▶	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Compiler

Compiled 58 to 49 computations (15.5% saved)

simplify73.0ms (0.8%)

Memory

-24.2MiB live, 25.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
cost-diff	13952	(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)))
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))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) im)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	138
0	49	121
1	94	121
2	162	115
3	222	115
4	322	115
5	380	115
6	449	115
7	527	115
8	620	115
9	679	115
10	681	115
11	684	115
0	684	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (0.9%)

Memory

16.1MiB live, 89.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	0.0078125	(sin.f64 re)
accuracy	0.0234375	(.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(cosh.f64 im)
accuracy	0.0078125	(sin.f64 re)
accuracy	0.01171875	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	0.0078125	(sin.f64 re)
accuracy	0.015625	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy	35.430401369279345	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) im)
accuracy	0.0078125	(sin.f64 re)
accuracy	3.359586519300087	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))
accuracy	21.38230861288595	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Samples

61.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 267 to 61 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-exp: 17.0ms (36.7% of total)

ival-mult: 15.0ms (32.4% of total)

ival-sin: 6.0ms (12.9% of total)

ival-add: 3.0ms (6.5% of total)

ival-cosh: 2.0ms (4.3% of total)

ival-sub: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory

6.9MiB live, 41.9MiB allocated

Counts

16 → 71

Calls

Call 1

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

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

Calls

6 calls:

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

simplify253.0ms (2.9%)

Memory

-9.4MiB live, 228.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	1047
1	996	931
2	2903	896
3	5741	890
4	6957	890
0	8158	804

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

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

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

rewrite179.0ms (2%)

Memory

37.0MiB live, 230.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	113
0	49	96
1	143	86
2	811	86
0	8767	86

Stop Event

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

Counts

16 → 757

Calls

Call 1

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

Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (-.f64 (pow.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(.f64 (/.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 im im))))
(.f64 (/.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (sin.f64 re)))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im))) #s(literal -1 binary64)) (sin.f64 re)))
(.f64 (sin.f64 re) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (sin.f64 re))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (sin.f64 re)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (sin.f64 re)) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (sin.f64 re)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im #s(literal 1/2 binary64)) im)))))
(/.f64 (.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im)))
(/.f64 (.f64 (sin.f64 re) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (.f64 (sin.f64 re) (neg.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im #s(literal 1/2 binary64)) im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (sin.f64 re)))
(/.f64 (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (-.f64 (sin.f64 re) (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 re) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) (sin.f64 re)))
(/.f64 (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))))) (-.f64 (sin.f64 re) (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (sin.f64 re)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) (.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) (-.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) (sin.f64 re)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (sin.f64 re) (sin.f64 re) (-.f64 (.f64 (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64))) (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64)))) (.f64 (sin.f64 re) (.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re))) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im #s(literal 1/2 binary64)) im)))))
(/.f64 (neg.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im #s(literal 1/2 binary64)) im)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im #s(literal 1/2 binary64)) im))))
(/.f64 (.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 im im)))))
(/.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 im #s(literal 1/2 binary64)) im))))
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal -1 binary64)) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 1/2 binary64)) im))) (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(fma.f64 (.f64 (sin.f64 re) (.f64 im im)) #s(literal 1/2 binary64) (sin.f64 re))
(fma.f64 (.f64 (sin.f64 re) (.f64 im #s(literal 1/2 binary64))) im (sin.f64 re))
(fma.f64 (.f64 (sin.f64 re) im) (.f64 im #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 (.f64 (.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64) (sin.f64 re))
(fma.f64 (.f64 im im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (sin.f64 re))
(fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 im im) (sin.f64 re))
(fma.f64 (sin.f64 re) (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (.f64 (.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (sin.f64 re))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (.f64 (.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sin.f64 re) (.f64 (.f64 (sin.f64 re) im) (*.f64 im #s(literal 1/2 binary64))))
(fma.f64 (.f64 im #s(literal 1/2 binary64)) (.f64 im (sin.f64 re)) (sin.f64 re))
(fma.f64 im (.f64 (.f64 im #s(literal 1/2 binary64)) (sin.f64 re)) (sin.f64 re))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (sin.f64 re)) (sin.f64 re))
(+.f64 (.f64 (.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (sin.f64 re))
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(+.f64 (sin.f64 re) (.f64 (.f64 im im) (*.f64 (sin.f64 re) #s(literal 1/2 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 (.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 #s(literal 1 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 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (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 (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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (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 #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 #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (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)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im)) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(-.f64 (/.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 #s(literal 2 binary64) (sinh.f64 im)))) (/.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 #s(literal 2 binary64) (sinh.f64 im)))))
(-.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 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 1 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (neg.f64 (/.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 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (.f64 #s(literal 1 binary64) (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (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 (.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 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re))) #s(literal 1/2 binary64))
(.f64 (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) (exp.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (sin.f64 re))
(.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (sin.f64 re) (exp.f64 im)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (exp.f64 im))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (sin.f64 re) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (exp.f64 im))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 im)) (sin.f64 re)) (neg.f64 (exp.f64 im)))
(/.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)))
(*.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 (*.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 #s(literal -1 binary64)) im)
(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 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64))
(.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64))
(.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
(.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(.f64 (sin.f64 re) (.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (sin.f64 re)))
(.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im)))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)

eval147.0ms (1.7%)

Memory: -2.9MiB live, 125.1MiB allocated
Compiler: Compiled 16 184 to 1 695 computations (89.5% saved)

prune27.0ms (0.3%)

Memory

4.7MiB live, 79.2MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	548	15	563
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	551	16	567

Accuracy

100.0%

Counts

567 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))
▶	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	89.1%	(.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))
▶	84.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
▶	32.3%	(.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)))
	30.3%	(.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)) #s(literal 2 binary64)))
	31.1%	(.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)))
▶	21.5%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	44.4%	#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
✓	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	43.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
▶	45.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
	25.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))

Compiler

Compiled 770 to 564 computations (26.8% saved)

simplify306.0ms (3.5%)

Memory

-23.3MiB live, 181.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	355
0	76	344
1	147	344
2	308	338
3	810	335
4	2257	335
5	3333	335
6	4283	335
7	4496	335
8	4696	335
9	5274	335
10	7817	335
0	8047	332

Stop Event

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

Calls

Call 1

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

localize122.0ms (1.4%)

Memory

-1.0MiB live, 154.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.15625	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	9.965674873562847	#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	0.08203125	(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	0.2679890869322974	(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
accuracy	32.148359414930994	#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	35.430401369279345	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0.1015625	(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
accuracy	3.324430269300087	(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
accuracy	21.38230861288595	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
accuracy	27.96346741080605	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))
accuracy	0	(*.f64 re #s(literal 1/2 binary64))
accuracy	0.015625	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy	32.19943558937669	#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy	35.430401369279345	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	0	(cosh.f64 im)
accuracy	0.0078125	(sin.f64 re)
accuracy	0.01171875	(*.f64 (sin.f64 re) (cosh.f64 im))

Samples

91.0ms

256×

valid

Compiler

Compiled 609 to 99 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 29.0ms (41.6% of total)

const: 14.0ms (20.1% of total)

ival-add: 10.0ms (14.4% of total)

ival-cosh: 7.0ms (10% of total)

ival-sin: 6.0ms (8.6% of total)

ival-exp: 3.0ms (4.3% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

22 → 88

Calls

Call 1

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

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 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2))))
1
(+ 1 (* -1/6 (pow re 2)))
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))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -1/6 (pow re 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* -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)))))
(* -1/6 (* (pow re 3) (+ 1 (* 1/2 (pow im 2)))))
(* (pow re 3) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (+ (* 1/2 (/ (pow im 2) (pow re 2))) (/ 1 (pow re 2)))))
(* -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 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)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ 1 (* 1/2 (pow im 2))) (pow re 2))) (* 1/6 (+ 1 (* 1/2 (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 (* (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 (+ (* -1/6 (pow re 2)) (* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))))
(+ 1/2 (* 1/24 (pow im 2)))
(+ (* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2)))))) (* re (+ 1 (* -1/6 (pow re 2)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) (+ 1 (* -1/6 (pow re 2)))))
(* (pow im 2) (+ (* -1/6 (/ (pow re 2) (pow im 2))) (+ (* 1/2 (+ 1 (* -1/6 (pow re 2)))) (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/2 (* (pow im 2) (* re (+ 1 (* -1/6 (pow re 2))))))
(* (pow im 2) (+ (* 1/2 (* re (+ 1 (* -1/6 (pow re 2))))) (/ (* re (+ 1 (* -1/6 (pow re 2)))) (pow im 2))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (+ (* -1/6 (* re re)) 1) (* (* 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)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12))
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)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (+ (* -1/6 (* re re)) 1) (* (* 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)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12))
3.0ms	im	@	inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (+ (* -1/6 (* re re)) 1) (* (* 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)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12))
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)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (+ (* -1/6 (* re re)) 1) (* (* 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)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12))
2.0ms	im	@	-inf	((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (+ (* -1/6 (* re re)) 1) (* (* 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)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (+ (* -1/10080 (* re re)) 1/240) (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12))

simplify229.0ms (2.6%)

Memory

-25.5MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1274
1	885	1169
2	2842	1103
3	7463	1102
0	8260	1011

Stop Event

1×	iter limit
1×	node limit

Counts

88 → 87

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

rewrite233.0ms (2.6%)

Memory

11.2MiB live, 239.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	305
0	76	295
1	270	283
2	1761	283
0	8256	283

Stop Event

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

Counts

22 → 621

Calls

Call 1

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

Outputs
(.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 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) (pow.f64 (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.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)))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (pow.f64 (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (-.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #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 (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)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (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)))))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #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 (.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 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)))
(.f64 (cosh.f64 im) (.f64 #s(literal 1 binary64) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(/.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(/.f64 (neg.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)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.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))))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.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)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (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)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))) #s(literal -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))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
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eval100.0ms (1.1%)

Memory: 15.0MiB live, 214.7MiB allocated
Compiler: Compiled 34 456 to 3 464 computations (89.9% saved)

prune45.0ms (0.5%)

Memory

-23.0MiB live, 97.0MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	683	21	704
Fresh	3	7	10
Picked	2	3	5
Done	0	1	1
Total	688	32	720

Accuracy

100.0%

Counts

720 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	89.1%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
▶	84.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
	53.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #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)))
	54.5%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
	83.5%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
▶	32.3%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	56.6%	(.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)) (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)))))
	54.7%	(.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)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
	46.7%	(.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)) (fma.f64 im im #s(literal 2 binary64))))
✓	32.3%	(.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)))
	22.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
▶	32.1%	(.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)))
	30.3%	(.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)))
	31.1%	(.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)))
	55.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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)))))
	52.7%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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)))))
✓	21.5%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	44.4%	#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
✓	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	45.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
▶	43.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	32.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
	25.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
	27.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
	13.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
	27.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))

Compiler

Compiled 2 030 to 1 426 computations (29.8% saved)

simplify239.0ms (2.7%)

Memory

-3.0MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 (.f64 #s(literal 1/24 binary64) 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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
cost-diff	0	(/.f64 #s(literal 1 binary64) (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	#s(approx (* 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff	1088	(/.f64 re (/.f64 #s(literal 1 binary64) (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	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(.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)))
cost-diff	0	(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(*.f64 (cosh.f64 im) (sin.f64 re))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	480
0	89	465
1	160	459
2	300	453
3	656	453
4	1539	453
5	2500	453
6	3552	453
7	4300	453
8	4458	453
9	4559	453
10	4648	453
11	4737	453
12	4855	453
13	5793	453
14	6647	453
15	7351	453
16	7762	453
0	8075	453

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))
(*.f64 (sin.f64 re) (cosh.f64 im))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 re)) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(cosh.f64 im)
im
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
(.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 (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re))))
#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 (* 1/2 (sin re)) (fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) 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)
(fma.f64 (pow.f64 re #s(literal 5 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)) re))
(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))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (fma.f64 (*.f64 #s(literal -1/12 binary64) re) re #s(literal 1/2 binary64)))
(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))
(fma.f64 #s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (*.f64 re re) #s(literal -1/12 binary64))
#s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re)))
#s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64)))
(.f64 #s(literal -1/10080 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal -1/10080 binary64))
#s(literal -1/10080 binary64)
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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 (.f64 re re) #s(literal -1/10080 binary64) #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 re (/.f64 #s(literal 1 binary64) (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)))))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re))
(/.f64 re (/.f64 #s(literal 1 binary64) (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 (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
re
(/.f64 #s(literal 1 binary64) (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(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(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 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #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))
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))
#s(literal -1/10080 binary64)
(*.f64 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 (.f64 #s(literal 1/24 binary64) 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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64))
(*.f64 #s(literal 1/24 binary64) im)
#s(literal 1/24 binary64)
im
#s(literal 1/2 binary64)
(*.f64 im im)
#s(literal 1 binary64)
(sin.f64 re)
re

localize308.0ms (3.5%)

Memory

21.6MiB live, 253.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.01171875	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
accuracy	0.15625	(*.f64 #s(literal 1/24 binary64) im)
accuracy	0.7862548729908116	#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
accuracy	0.03125	(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
accuracy	0.034403730164287515	(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))
accuracy	1.2827402341461656	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	15.147659367457125	#s(approx (* 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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)))))
accuracy	0.05078125	(.f64 #s(literal -1/10080 binary64) (.f64 re re))
accuracy	1.2827402341461656	#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy	13.376510371352584	#s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re)))
accuracy	15.147659367457125	#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))
accuracy	0	(*.f64 im im)
accuracy	0.01171875	(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
accuracy	0.8773254147124822	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
accuracy	15.233764279558473	#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
accuracy	0.00390625	(sin.f64 re)
accuracy	0.01171875	(*.f64 (cosh.f64 im) (sin.f64 re))
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re)))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))

Samples

192.0ms	141×	5	exit
77.0ms	115×	0	valid

Compiler

Compiled 817 to 109 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

adjust: 75.0ms (41% of total)

ival-mult: 39.0ms (21.3% of total)

const: 25.0ms (13.7% of total)

ival-add: 17.0ms (9.3% of total)

ival-exp: 8.0ms (4.4% of total)

ival-div: 7.0ms (3.8% of total)

ival-sin: 6.0ms (3.3% of total)

ival-cosh: 3.0ms (1.6% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series40.0ms (0.4%)

Memory

-16.5MiB live, 25.6MiB allocated

Counts

28 → 96

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))
(*.f64 (cosh.f64 im) (sin.f64 re))
(cosh.f64 im)
(sin.f64 re)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
#s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(.f64 #s(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)))
#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))
(.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)
(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 (/.f64 #s(literal 1 binary64) (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 ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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(literal 1 binary64) (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 (.f64 #s(literal 1/24 binary64) 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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re)))
(*.f64 im im)
#s(approx (+ (* -1/10080 (* re re)) 1/240) (.f64 #s(literal -1/10080 binary64) (.f64 re re)))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(.f64 #s(literal -1/10080 binary64) (.f64 re 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 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(*.f64 #s(literal 1/24 binary64) 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))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)
2
(+ 2 (* 1/3 (pow re 2)))
(+ 2 (* (pow re 2) (+ 1/3 (* 7/180 (pow re 2)))))
(+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 7/180 (* 31/7560 (pow re 2)))))))
(/ 2 (* re (+ (exp im) (/ 1 (exp im)))))
(/ (+ (* 1/3 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/ (+ (* (pow re 2) (+ (* 7/180 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/3 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/ (+ (* (pow re 2) (+ (* (pow re 2) (+ (* 31/7560 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 7/180 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/3 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
1/240
(+ 1/240 (* -1/10080 (pow re 2)))
(* -1/10080 (pow re 2))
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)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(* -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 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)))))
(/ -10080 (pow re 6))
(* -1 (/ (+ 10080 (* 423360 (/ 1 (pow re 2)))) (pow re 6)))
(/ (- (* -1 (/ (+ 423360 (* 9313920 (/ 1 (pow re 2)))) (pow re 2))) 10080) (pow re 6))
(/ (- (* -1 (/ (+ 9313920 (* 86365440 (/ 1 (pow re 2)))) (pow re 4))) (+ 10080 (* 423360 (/ 1 (pow re 2))))) (pow re 6))
(/ 2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* -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 (* (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)))))))
(+ re (* 1/2 (* (pow im 2) re)))
(+ 1/2 (* 1/24 (pow im 2)))
(/ 1 (sin re))
(+ (* -1/2 (/ (pow im 2) (sin re))) (/ 1 (sin re)))
(+ (* (pow im 2) (- (* 5/24 (/ (pow im 2) (sin re))) (* 1/2 (/ 1 (sin re))))) (/ 1 (sin re)))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -61/720 (/ (pow im 2) (sin re))) (* 5/24 (/ 1 (sin re))))) (* 1/2 (/ 1 (sin re))))) (/ 1 (sin re)))
(pow im 2)
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/24 im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	re	@	-inf	((/ 1 (/ 1 (* (cosh im) (sin re)))) (* (cosh im) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 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 (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (* 1/24 im) im) 1/2) (* im im)) 1) (+ (* (* 1/24 im) im) 1/2) (/ 1 (* (cosh im) (sin re))) (* im im) (+ (* -1/10080 (* re re)) 1/240) (+ (exp (- 0 im)) (exp im)) (* -1/10080 (* re re)) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* -1/10080 (* re re)) 1/240) (* 1/24 im))
4.0ms	re	@	inf	((/ 1 (/ 1 (* (cosh im) (sin re)))) (* (cosh im) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 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 (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (* 1/24 im) im) 1/2) (* im im)) 1) (+ (* (* 1/24 im) im) 1/2) (/ 1 (* (cosh im) (sin re))) (* im im) (+ (* -1/10080 (* re re)) 1/240) (+ (exp (- 0 im)) (exp im)) (* -1/10080 (* re re)) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* -1/10080 (* re re)) 1/240) (* 1/24 im))
3.0ms	im	@	inf	((/ 1 (/ 1 (* (cosh im) (sin re)))) (* (cosh im) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 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 (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (* 1/24 im) im) 1/2) (* im im)) 1) (+ (* (* 1/24 im) im) 1/2) (/ 1 (* (cosh im) (sin re))) (* im im) (+ (* -1/10080 (* re re)) 1/240) (+ (exp (- 0 im)) (exp im)) (* -1/10080 (* re re)) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* -1/10080 (* re re)) 1/240) (* 1/24 im))
3.0ms	im	@	-inf	((/ 1 (/ 1 (* (cosh im) (sin re)))) (* (cosh im) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 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 (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (* 1/24 im) im) 1/2) (* im im)) 1) (+ (* (* 1/24 im) im) 1/2) (/ 1 (* (cosh im) (sin re))) (* im im) (+ (* -1/10080 (* re re)) 1/240) (+ (exp (- 0 im)) (exp im)) (* -1/10080 (* re re)) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* -1/10080 (* re re)) 1/240) (* 1/24 im))
3.0ms	re	@	0	((/ 1 (/ 1 (* (cosh im) (sin re)))) (* (cosh im) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* (* 1/2 im) im) 1) (sin re)) (* (+ (* (* im im) 1/2) 1) re) (+ (* (* im im) 1/2) 1) (* (* 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 (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* (* 1/24 im) im) 1/2) (* im im)) 1) (+ (* (* 1/24 im) im) 1/2) (/ 1 (* (cosh im) (sin re))) (* im im) (+ (* -1/10080 (* re re)) 1/240) (+ (exp (- 0 im)) (exp im)) (* -1/10080 (* re re)) (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2) (+ (* -1/10080 (* re re)) 1/240) (* 1/24 im))

simplify226.0ms (2.6%)

Memory

31.4MiB live, 140.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	308	1347
1	995	1273
2	2839	1214
3	6686	1190
0	8235	1101

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* re (+ 1 (* 1/2 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(* 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))))
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)
2
(+ 2 (* 1/3 (pow re 2)))
(+ 2 (* (pow re 2) (+ 1/3 (* 7/180 (pow re 2)))))
(+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 7/180 (* 31/7560 (pow re 2)))))))
(/ 2 (* re (+ (exp im) (/ 1 (exp im)))))
(/ (+ (* 1/3 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/ (+ (* (pow re 2) (+ (* 7/180 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/3 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/ (+ (* (pow re 2) (+ (* (pow re 2) (+ (* 31/7560 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 7/180 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/3 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
1/240
(+ 1/240 (* -1/10080 (pow re 2)))
(* -1/10080 (pow re 2))
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)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(* 1/2 (sin re))
(* -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 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)))))
(/ -10080 (pow re 6))
(* -1 (/ (+ 10080 (* 423360 (/ 1 (pow re 2)))) (pow re 6)))
(/ (- (* -1 (/ (+ 423360 (* 9313920 (/ 1 (pow re 2)))) (pow re 2))) 10080) (pow re 6))
(/ (- (* -1 (/ (+ 9313920 (* 86365440 (/ 1 (pow re 2)))) (pow re 4))) (+ 10080 (* 423360 (/ 1 (pow re 2))))) (pow re 6))
(/ 2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(* -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 (* (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)))))))
(+ re (* 1/2 (* (pow im 2) re)))
(+ 1/2 (* 1/24 (pow im 2)))
(/ 1 (sin re))
(+ (* -1/2 (/ (pow im 2) (sin re))) (/ 1 (sin re)))
(+ (* (pow im 2) (- (* 5/24 (/ (pow im 2) (sin re))) (* 1/2 (/ 1 (sin re))))) (/ 1 (sin re)))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -61/720 (/ (pow im 2) (sin re))) (* 5/24 (/ 1 (sin re))))) (* 1/2 (/ 1 (sin re))))) (/ 1 (sin re)))
(pow im 2)
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(* 1/24 im)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (pow im 2) (sin re)))
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(* 1/2 (* (pow im 2) re))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(* 1/2 (pow im 2))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 (.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 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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)
(* 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 (.f64 re re) #s(literal -1/10080 binary64) #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 (+.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 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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)
(* 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 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/2 (pow im 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* 1/120 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))))))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* 1/2 (pow im 2)) (* (pow re 2) (+ (* -1/6 (+ 1 (* 1/2 (pow im 2)))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* 1/2 (pow im 2))))) (* 1/120 (+ 1 (* 1/2 (pow im 2)))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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 (.f64 re re) #s(literal 1/240 binary64) #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 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)
-1/12
#s(literal -1/12 binary64)
(- (* 1/240 (pow re 2)) 1/12)
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64))
(- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)
(fma.f64 (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow re 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))
(+ 2 (* (pow re 2) (+ 1/3 (* 7/180 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 7/180 binary64) (.f64 re re) #s(literal 1/3 binary64)) (.f64 re re) #s(literal 2 binary64))
(+ 2 (* (pow re 2) (+ 1/3 (* (pow re 2) (+ 7/180 (* 31/7560 (pow re 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))
(/ 2 (* re (+ (exp im) (/ 1 (exp im)))))
(/.f64 (/.f64 #s(literal 2 binary64) re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/ (+ (* 1/3 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (fma.f64 #s(literal 1/3 binary64) (.f64 re re) #s(literal 2 binary64))) re)
(/ (+ (* (pow re 2) (+ (* 7/180 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/3 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/.f64 (fma.f64 (/.f64 (.f64 re re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (fma.f64 #s(literal 7/180 binary64) (.f64 re re) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) re)
(/ (+ (* (pow re 2) (+ (* (pow re 2) (+ (* 31/7560 (/ (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 7/180 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 1/3 (/ 1 (+ (exp im) (/ 1 (exp im))))))) (* 2 (/ 1 (+ (exp im) (/ 1 (exp im)))))) re)
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 re re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64))) (.f64 re re) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (fma.f64 #s(literal 1/3 binary64) (.f64 re re) #s(literal 2 binary64)))) re)
1/240
#s(literal 1/240 binary64)
(+ 1/240 (* -1/10080 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))
(* -1/10080 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/10080 binary64))
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 (.f64 re re) #s(literal 1/240 binary64) #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 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 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))
(* (sin re) (+ 1 (* 1/2 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* -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 1/240 binary64) (.f64 re re)) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 6 binary64)))) (-.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 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)))
(/ -10080 (pow re 6))
(/.f64 #s(literal -10080 binary64) (pow.f64 re #s(literal 6 binary64)))
(* -1 (/ (+ 10080 (* 423360 (/ 1 (pow re 2)))) (pow re 6)))
(/.f64 (-.f64 #s(literal -10080 binary64) (/.f64 #s(literal 423360 binary64) (*.f64 re re))) (pow.f64 re #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ 423360 (* 9313920 (/ 1 (pow re 2)))) (pow re 2))) 10080) (pow re 6))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -423360 binary64) (/.f64 #s(literal 9313920 binary64) (*.f64 re re))) re) re) #s(literal 10080 binary64)) (pow.f64 re #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ 9313920 (* 86365440 (/ 1 (pow re 2)))) (pow re 4))) (+ 10080 (* 423360 (/ 1 (pow re 2))))) (pow re 6))
(/.f64 (-.f64 (-.f64 #s(literal -10080 binary64) (/.f64 #s(literal 423360 binary64) (.f64 re re))) (/.f64 (+.f64 (/.f64 #s(literal 86365440 binary64) (.f64 re re)) #s(literal 9313920 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 re #s(literal 6 binary64)))
(/ 2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(/.f64 (/.f64 #s(literal 2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (- (* 1/240 (/ 1 (pow re 2))) 1/10080))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 re re)) #s(literal 1/10080 binary64)) re) re)
(* -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 1/240 binary64) (.f64 re re)) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 6 binary64)))) (-.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 (* (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 1/240 binary64) (.f64 re re)) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 6 binary64)))) (-.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))
(+ re (* 1/2 (* (pow im 2) re)))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(/ 1 (sin re))
(/.f64 #s(literal 1 binary64) (sin.f64 re))
(+ (* -1/2 (/ (pow im 2) (sin re))) (/ 1 (sin re)))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) im) (sin.f64 re)) im (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(+ (* (pow im 2) (- (* 5/24 (/ (pow im 2) (sin re))) (* 1/2 (/ 1 (sin re))))) (/ 1 (sin re)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 re)) (fma.f64 (.f64 #s(literal 5/24 binary64) im) im #s(literal -1/2 binary64))) (*.f64 im im) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(+ (* (pow im 2) (- (* (pow im 2) (+ (* -61/720 (/ (pow im 2) (sin re))) (* 5/24 (/ 1 (sin re))))) (* 1/2 (/ 1 (sin re))))) (/ 1 (sin re)))
(fma.f64 (fma.f64 (.f64 (/.f64 im (sin.f64 re)) im) (fma.f64 (.f64 #s(literal -61/720 binary64) im) im #s(literal 5/24 binary64)) (/.f64 #s(literal -1/2 binary64) (sin.f64 re))) (*.f64 im im) (/.f64 #s(literal 1 binary64) (sin.f64 re)))
(pow im 2)
(*.f64 im im)
(+ 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)
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (* (pow im 2) (sin re)))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)
(* (pow im 2) (+ (* 1/2 (sin re)) (/ (sin re) (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(* 1/2 (* (pow im 2) re))
(.f64 (.f64 (*.f64 im im) re) #s(literal 1/2 binary64))
(* (pow im 2) (+ (* 1/2 re) (/ re (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)
(* 1/2 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/2 (/ 1 (pow im 2))))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/24 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow im 2))
(.f64 #s(literal 1/24 binary64) (.f64 im im))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 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))

rewrite203.0ms (2.3%)

Memory

-21.2MiB live, 258.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	403
0	89	389
1	320	371
2	1969	371
0	8220	371

Stop Event

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

Counts

28 → 618

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 re) (cosh.f64 im)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 re) (cosh.f64 im)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64)) (cosh.f64 im))
(.f64 (pow.f64 (.f64 (sin.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 re) (cosh.f64 im)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 re) (cosh.f64 im)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (pow.f64 (sin.f64 re) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 re)) (cosh.f64 im))
(.f64 (.f64 (sin.f64 re) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (pow.f64 (.f64 (sin.f64 re) (cosh.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 re) (cosh.f64 im)) #s(literal 1/2 binary64)))
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(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 (sin.f64 re)) (cosh.f64 im)) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (-.f64 #s(literal 1/57600 binary64) (*.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/57600 binary64) (-.f64 (.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (*.f64 re re) #s(literal -1/2419200 binary64)))) (fma.f64 #s(literal -1/1024192512000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/13824000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))))
(fma.f64 (*.f64 #s(literal -1/10080 binary64) re) re #s(literal 1/240 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))
(fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))
(fma.f64 re (*.f64 #s(literal -1/10080 binary64) re) #s(literal 1/240 binary64))
(-.f64 (/.f64 #s(literal 1/57600 binary64) (-.f64 #s(literal 1/240 binary64) (.f64 (.f64 re re) #s(literal -1/10080 binary64)))) (/.f64 (.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (-.f64 #s(literal 1/240 binary64) (.f64 (*.f64 re re) #s(literal -1/10080 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/101606400 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal -1/240 binary64))))
(+.f64 (.f64 (.f64 re re) #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))
(+.f64 #s(literal 1/240 binary64) (.f64 (.f64 re re) #s(literal -1/10080 binary64)))
(*.f64 #s(literal 1/24 binary64) im)
(*.f64 im #s(literal 1/24 binary64))

eval95.0ms (1.1%)

Memory: -6.6MiB live, 190.7MiB allocated
Compiler: Compiled 25 208 to 3 015 computations (88% saved)

prune44.0ms (0.5%)

Memory

14.3MiB live, 100.0MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	644	15	659
Fresh	8	15	23
Picked	2	3	5
Done	0	4	4
Total	654	37	691

Accuracy

100.0%

Counts

691 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh im) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	89.1%	(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
	53.8%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (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)))
	54.5%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
	84.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re))
	83.5%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
✓	32.3%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	21.5%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	21.4%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
✓	32.3%	(.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)))
	30.3%	(.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)) #s(literal 2 binary64)))
	22.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
	56.5%	(.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)) (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)))))
	54.5%	(.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)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))))
	46.5%	(.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)) (fma.f64 im im #s(literal 2 binary64))))
✓	32.1%	(.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)))
	31.1%	(.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)))
	55.4%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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)))))
	52.7%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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)))))
✓	21.5%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	88.0%	#s(approx (/ 1 (/ 1 (* (cosh im) (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)))
	44.4%	#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re))
	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
✓	71.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
	45.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))))))
	27.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
✓	43.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
	32.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
	43.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
	45.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
	25.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
	25.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
	27.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
	13.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
	27.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))

Compiler

Compiled 3 100 to 1 218 computations (60.7% saved)

regimes99.0ms (1.1%)

Memory

7.6MiB live, 165.5MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (fma.f64 #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)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh im) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #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 (.f64 #s(literal 1/24 binary64) 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 ( 1/2 (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)) (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 (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)) (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 (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)) (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 (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)) (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 (sin.f64 re) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (fma.f64 (.f64 (.f64 im #s(literal 1/2 binary64)) im) (sin.f64 re) (sin.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re))))
#s(approx (/ 1 (/ 1 (* (cosh im) (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)))
(.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)) #s(approx (exp (neg im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))) (.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 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))

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

Calls

6 calls:

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

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)

regimes101.0ms (1.1%)

Memory

6.4MiB live, 167.9MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (fma.f64 #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)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh im) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #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 (.f64 #s(literal 1/24 binary64) 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 ( 1/2 (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)) (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 (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)) (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 (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)) (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 (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)) (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 (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)) (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 (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))

Calls

6 calls:

28.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
15.0ms	im
15.0ms	(sin.f64 re)
14.0ms	re
14.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))

Results

Accuracy	Segments	Branch
89.1%	1	`re`
89.1%	1	`im`
91.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
89.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
89.1%	1	`(sin.f64 re)`
89.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes16.0ms (0.2%)

Memory

-5.8MiB live, 33.6MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (fma.f64 #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)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh im) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #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 (.f64 #s(literal 1/24 binary64) 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 ( 1/2 (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)) (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 (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)) (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 (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)) (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 (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))

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
91.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes16.0ms (0.2%)

Memory

-14.7MiB live, 24.1MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (fma.f64 #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)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #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))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (cosh im) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 re))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #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 (.f64 #s(literal 1/24 binary64) 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)))

Outputs

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
91.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes117.0ms (1.3%)

Memory

-0.4MiB live, 115.0MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (fma.f64 #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)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))

Outputs

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

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

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

6 calls:

32.0ms	im
30.0ms	(sin.f64 re)
19.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
12.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms	re

Results

Accuracy	Segments	Branch
84.3%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
86.2%	2	`re`
90.3%	4	`im`
84.3%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
84.3%	1	`(sin.f64 re)`
92.0%	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 27 to 30 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (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)) (fma.f64 im im #s(literal 2 binary64))))

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

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

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
91.6%	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)

regimes45.0ms (0.5%)

Memory

-17.7MiB live, 20.6MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) 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 #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 (.f64 #s(literal 1/24 binary64) 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 (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)) (fma.f64 im im #s(literal 2 binary64))))

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

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

1 calls:

43.0ms

(*.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
89.0%	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 12 to 11 computations (8.3% saved)

regimes11.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (+ (* 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 #s(approx (+ (* (* 1/24 im) im) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))

Outputs

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

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

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

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
88.9%	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)

regimes71.0ms (0.8%)

Memory

-12.5MiB live, 71.6MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re)))

Outputs

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

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

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

Calls

6 calls:

17.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
17.0ms	(sin.f64 re)
9.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	im
9.0ms	re

Results

Accuracy	Segments	Branch
71.7%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
76.2%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
76.2%	3	`(sin.f64 re)`
76.2%	3	`re`
80.6%	3	`im`
82.1%	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)

regimes10.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 im (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) im)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) im) im)))

Outputs

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

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

#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 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
81.4%	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)

regimes86.0ms (1%)

Memory

-18.6MiB live, 57.1MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re) re) (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #s(literal 1 binary64))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (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))))) #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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) (.f64 re re)) #s(literal 1/10080 binary64)) 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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))) (.f64 re re) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))

Outputs

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

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

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

Calls

6 calls:

41.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
14.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
8.0ms	im
8.0ms	re
8.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
46.7%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
63.6%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
63.6%	3	`(sin.f64 re)`
51.6%	3	`re`
51.9%	3	`im`
59.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes21.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (*.f64 im im))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 #s(literal 1/3 binary64) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re)))
(.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 (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)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (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)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))
(.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 (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)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (/.f64 (.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 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)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re #s(approx (/ 1 (+ (* (+ (* (+ (* -1/10080 (* re re)) 1/240) (* re re)) -1/12) (* re re)) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/7560 binary64) (.f64 re re) #s(literal 7/180 binary64)) (.f64 re re) #s(literal 1/3 binary64)) (*.f64 re re) #s(literal 2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs

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

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

Calls

3 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	(sin.f64 re)
6.0ms	(.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
59.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
59.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
59.1%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes39.0ms (0.4%)

Memory

-20.2MiB live, 24.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

25.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
59.1%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
59.1%	2	`(sin.f64 re)`
59.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes34.0ms (0.4%)

Memory

-17.6MiB live, 20.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

22.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
6.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
58.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
58.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
58.0%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes15.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
56.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
56.2%	2	`(sin.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.2%)

Memory

-22.4MiB live, 16.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 re)
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

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

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
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
56.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
56.0%	2	`(sin.f64 re)`
56.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes7.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

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
54.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
54.6%	2	`(sin.f64 re)`
54.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes26.0ms (0.3%)

Memory

-6.9MiB live, 32.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

16.0ms	(sin.f64 re)
2.0ms	(*.f64 #s(literal 1/2 binary64) (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
43.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
43.9%	1	`re`
43.9%	1	`im`
43.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
43.9%	1	`(sin.f64 re)`
43.9%	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 27 to 30 computations (-11.1% saved)

regimes93.0ms (1.1%)

Memory

-39.9MiB live, 23.2MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

6 calls:

85.0ms	(.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
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	(sin.f64 re)
2.0ms	re

Results

Accuracy	Segments	Branch
43.8%	2	`im`
43.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
43.8%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
32.4%	2	`re`
32.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
32.3%	2	`(sin.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB 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 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
21.5%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
21.5%	1	`(sin.f64 re)`
21.5%	1	`re`
21.5%	1	`im`
21.5%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
21.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999366923154333	3.637501529728796e+161
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999366923154333	3.637501529728796e+161
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.637501529728796e+161	+inf
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999366923154333	3.637501529728796e+161
0.0ms	-inf	-0.995185952817331

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	0.9999366923154333	3.637501529728796e+161
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999366923154333	3.637501529728796e+161
0.0ms	-inf	-0.995185952817331

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.121661640153915e-74	3.4072917068189377e-71
0.0ms	6.890049212895499e-156	1.294367685237739e-152

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06289192989397992	0.24547212547052524

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.033141158313423125	3.29704078182792e-308

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.033141158313423125	3.29704078182792e-308

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06289192989397992	0.24547212547052524

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.033141158313423125	3.2970407818279195e-308

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.033141158313423125	3.2970407818279195e-308

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06289192989397992	0.24547212547052524

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06289192989397992	0.24547212547052524

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify45.0ms (0.5%)

Memory

-2.9MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1887
1	234	1887
2	237	1887
3	238	1887

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 (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)) (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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.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 (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)) (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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.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 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #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))) (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 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #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 1 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (.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 (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)) (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 1 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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 (.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 (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)) (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 499999999999999968924969819058198733225262579719483992687862657961342929441182501246427748482021530467449989810947106501591263546954324667881494960350775700619264 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (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)) (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 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #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 (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)) (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 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64)) (sin.f64 re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 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)) (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 1 binary64)) #s(approx (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (sin.f64 re)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (sin.f64 re) #s(literal 4830671903771573/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 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)) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 (sin.f64 re) #s(literal 6365737426045269/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (fma.f64 (fma.f64 (.f64 im im) (+.f64 #s(literal -1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 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)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 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)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im))))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.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 (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)) (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 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) (.f64 #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)))) #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/10080 (* re re)) 1/240) (.f64 (.f64 re re) #s(literal -1/10080 binary64))) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 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))) (sin.f64 re)))
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(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 (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)) (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 1 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) im) im #s(literal 1 binary64))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #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)))))))
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(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx ( (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal -1/6 binary64)) re) re)) re))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im))))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) #s(approx (* (* (+ (* -1/6 (* re re)) 1) (+ (* (* im im) 1/2) 1)) re) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (.f64 im im))))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 3602879701896397/36028797018963968 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))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 (fma.f64 (.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 3602879701896397/36028797018963968 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)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* 1/2 im) im) 1) (sin re)) (.f64 #s(approx (+ ( (* im im) 1/2) 1) (.f64 (.f64 im im) #s(literal 1/2 binary64))) re))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))

soundness2.3s (26.2%)

Memory

0.6MiB live, 1 497.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	1347
1	995	1273
2	2839	1214
3	6686	1190
0	8235	1101
0	31	113
0	49	96
1	143	86
2	811	86
0	8767	86
0	57	403
0	89	389
1	320	371
2	1969	371
0	8220	371
0	49	305
0	76	295
1	270	283
2	1761	283
0	8256	283
0	11	30
0	18	27
1	59	23
2	397	21
0	4416	21
0	289	1047
1	996	931
2	2903	896
3	5741	890
4	6957	890
0	8158	804
0	120	380
1	393	349
2	1236	333
3	4153	316
4	5063	316
5	5499	316
6	5812	316
7	6606	316
8	7707	316
0	8076	281
0	256	1274
1	885	1169
2	2842	1103
3	7463	1102
0	8260	1011

Stop Event

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

Compiler

Compiled 3 475 to 1 475 computations (57.6% saved)

preprocess142.0ms (1.6%)

Memory

25.3MiB live, 225.1MiB allocated

Remove

(negabs re)

(abs im)

Compiler

Compiled 3 858 to 476 computations (87.7% 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	31	138
0	49	121
1	94	121
2	162	115
3	222	115
4	322	115
5	380	115
6	449	115
7	527	115
8	620	115
9	679	115
10	681	115
11	684	115
0	684	115

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	31	138
0	49	121
1	94	121
2	162	115
3	222	115
4	322	115
5	380	115
6	449	115
7	527	115
8	620	115
9	679	115
10	681	115
11	684	115
0	684	115

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (15.4%)

explain386.0ms (4.4%)

preprocess112.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize56.0ms (0.6%)

series7.0ms (0.1%)

simplify371.0ms (4.2%)

rewrite136.0ms (1.5%)

eval38.0ms (0.4%)

prune5.0ms (0.1%)

simplify73.0ms (0.8%)

localize83.0ms (0.9%)

series24.0ms (0.3%)

simplify253.0ms (2.9%)

rewrite179.0ms (2%)

eval147.0ms (1.7%)

prune27.0ms (0.3%)

simplify306.0ms (3.5%)

localize122.0ms (1.4%)

series17.0ms (0.2%)

simplify229.0ms (2.6%)

rewrite233.0ms (2.6%)

eval100.0ms (1.1%)

prune45.0ms (0.5%)

simplify239.0ms (2.7%)

localize308.0ms (3.5%)

series40.0ms (0.4%)

simplify226.0ms (2.6%)

rewrite203.0ms (2.3%)

eval95.0ms (1.1%)

prune44.0ms (0.5%)

regimes99.0ms (1.1%)

regimes101.0ms (1.1%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes117.0ms (1.3%)

regimes12.0ms (0.1%)

regimes45.0ms (0.5%)

regimes11.0ms (0.1%)

regimes71.0ms (0.8%)

regimes10.0ms (0.1%)

regimes86.0ms (1%)

regimes21.0ms (0.2%)

regimes39.0ms (0.4%)

regimes34.0ms (0.4%)

regimes15.0ms (0.2%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes26.0ms (0.3%)

regimes93.0ms (1.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify45.0ms (0.5%)

soundness2.3s (26.2%)

preprocess142.0ms (1.6%)

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	31	138
0	49	121
1	94	121
2	162	115
3	222	115
4	322	115
5	380	115
6	449	115
7	527	115
8	620	115
9	679	115
10	681	115
11	684	115
0	684	115