Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample2.7s (24.4%)

Memory

33.1MiB live, 2 885.3MiB allocated

Samples

1.1s	1 579×	2	valid
576.0ms	2 430×	1	valid
573.0ms	4 247×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-exp: 1.2s (61.3% of total)

ival-cos: 252.0ms (13.4% of total)

ival-sub: 160.0ms (8.5% of total)

ival-mult: 158.0ms (8.4% of total)

adjust: 138.0ms (7.3% of total)

exact: 10.0ms (0.5% of total)

ival-true: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain227.0ms (2.1%)

Memory

-1.5MiB live, 314.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`	cancellation	134	0

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	0	0	122

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	116×	2	valid
37.0ms	254×	0	valid
34.0ms	142×	1	valid

Compiler

Compiled 130 to 48 computations (63.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-exp: 49.0ms (52.9% of total)

ival-mult: 12.0ms (13% of total)

ival-cos: 12.0ms (13% of total)

adjust: 11.0ms (11.9% of total)

ival-sub: 7.0ms (7.6% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess133.0ms (1.2%)

Memory

6.4MiB live, 81.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	79	55
2	234	55
3	728	55
4	1875	55
5	2570	55
6	2778	55
7	3153	55
8	3432	55
9	3629	55
10	3680	55
11	3688	55
12	3688	55
13	3688	55
0	11	12
0	18	11
1	29	11
2	58	11
3	129	11
4	238	11
5	368	11
6	544	11
7	951	11
8	1235	11
9	1366	11
10	1400	11
11	1406	11
12	1406	11
0	1406	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs re)

(negabs im)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify43.0ms (0.4%)

Memory

-19.5MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
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	29	34
2	58	34
3	129	34
4	238	34
5	368	34
6	544	34
7	951	34
8	1235	34
9	1366	34
10	1400	34
11	1406	34
12	1406	34
0	1406	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (0.8%)

Memory

2.9MiB live, 122.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 im)
accuracy	0.0	(cos.f64 re)
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	30.771106003767624	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

29.0ms	58×	2	valid
27.0ms	127×	0	valid
17.0ms	71×	1	valid

Compiler

Compiled 78 to 24 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-exp: 25.0ms (48.5% of total)

ival-cos: 13.0ms (25.2% of total)

ival-mult: 5.0ms (9.7% of total)

adjust: 4.0ms (7.8% of total)

ival-sub: 3.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

6 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify182.0ms (1.7%)

Memory

-23.1MiB live, 258.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	381
1	321	347
2	909	341
3	2922	320
4	6396	320
0	8427	287

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

rewrite111.0ms (1%)

Memory

21.5MiB live, 97.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	18	27
1	54	27
2	351	27
0	4158	27

Stop Event

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

Counts

6 → 206

Calls

Call 1

Inputs
(-.f64 #s(literal 0 binary64) im)
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.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)
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(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im))) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (neg.f64 (exp.f64 im)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)) (exp.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(*.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)

eval52.0ms (0.5%)

Memory: -5.8MiB live, 37.9MiB allocated
Compiler: Compiled 5 577 to 870 computations (84.4% saved)

prune39.0ms (0.4%)

Memory

-15.8MiB live, 22.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	225	10	235
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	10	236

Accuracy

99.9%

Counts

236 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	51.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
▶	94.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	90.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	83.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
▶	39.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	38.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
▶	93.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
▶	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	89.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))

Compiler

Compiled 458 to 360 computations (21.4% saved)

simplify229.0ms (2.1%)

Memory

31.1MiB live, 146.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 re)
cost-diff	0	(.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
cost-diff	192	(.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(neg.f64 (cos.f64 re))
cost-diff	0	(*.f64 (neg.f64 (cos.f64 re)) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	428
0	89	421
1	165	421
2	344	421
3	915	421
4	2487	421
5	4915	421
6	7081	421
0	8043	419

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
#s(literal -1/2520 binary64)
(*.f64 im im)
im
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 (cos.f64 re))
(cos.f64 re)
re
im
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/60 binary64)
(*.f64 im im)
im
#s(literal -1/3 binary64)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) #s(literal -1/2 binary64)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) (cos.f64 re)))
(.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
(.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) (cos.f64 re))
(.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64))) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64) #s(literal -1 binary64))) (cos.f64 re))
(cos.f64 re)
re
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64) #s(literal -1/6 binary64))) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/120 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
#s(literal -1/6 binary64)
#s(literal -1 binary64)

localize859.0ms (7.8%)

Memory

-170.6MiB live, 442.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
accuracy	0.078125	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy	0.078125	(.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im)
accuracy	3.974644035786085	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
accuracy	0.0	(exp.f64 im)
accuracy	4.488427709788238	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	22.99023362570401	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
accuracy	30.771106003767624	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64))
accuracy	0.05078125	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	6.178874177558863	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	0.0	(neg.f64 (cos.f64 re))
accuracy	0.0	(cos.f64 re)
accuracy	0.12109375	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	29.05819194586789	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.05078125	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	3.772830408735292	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

411.0ms	58×	2	valid
235.0ms	71×	1	valid
92.0ms	127×	0	valid

Compiler

Compiled 777 to 108 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

ival-mult: 464.0ms (75.5% of total)

ival-exp: 59.0ms (9.6% of total)

adjust: 33.0ms (5.4% of total)

const: 23.0ms (3.7% of total)

ival-add: 16.0ms (2.6% of total)

ival-cos: 7.0ms (1.1% of total)

ival-sub: 6.0ms (1% of total)

ival-pow: 4.0ms (0.7% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series56.0ms (0.5%)

Memory

-7.6MiB live, 35.3MiB allocated

Counts

24 → 99

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	re	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (exp im) (+ (* (* im im) -1/6) -1) (+ (* -1/5040 (* im im)) -1/120))
7.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (exp im) (+ (* (* im im) -1/6) -1) (+ (* -1/5040 (* im im)) -1/120))
4.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (exp im) (+ (* (* im im) -1/6) -1) (+ (* -1/5040 (* im im)) -1/120))
3.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (exp im) (+ (* (* im im) -1/6) -1) (+ (* -1/5040 (* im im)) -1/120))
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (- (exp (neg im)) (exp im)) (exp im) (+ (* (* im im) -1/6) -1) (+ (* -1/5040 (* im im)) -1/120))

simplify271.0ms (2.5%)

Memory

6.9MiB live, 267.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	1727
1	959	1574
2	3463	1418
3	6772	1417
0	8390	1279

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 99

Calls

Call 1

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

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

rewrite454.0ms (4.2%)

Memory

-33.6MiB live, 222.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	312
0	89	305
1	323	305
2	2122	305
0	8799	305

Stop Event

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

Counts

24 → 373

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 im (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re))))))
(neg.f64 (*.f64 im (cos.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))) (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))
(neg.f64 (cos.f64 re))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re)))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (.f64 (.f64 (exp.f64 (neg.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 im)) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)))) (.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im))) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (-.f64 (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re)))) (.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 #s(literal -1/4 binary64) (.f64 re re)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.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))) (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 re re) #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 im im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) im) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 im im)))
(.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) (pow.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 im im) #s(literal 1/604800 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal 1/604800 binary64)))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 im im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal 1/604800 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 im im))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal 1/604800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (*.f64 im im) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal 1/604800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal 1/604800 binary64)))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 im im) #s(literal 1/604800 binary64)))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/1728000 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))
(fma.f64 im (*.f64 #s(literal -1/5040 binary64) im) #s(literal -1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 im im)))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 im im)))))
(-.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))
(+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64))
(+.f64 #s(literal -1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 im im)))

eval67.0ms (0.6%)

Memory: 9.2MiB live, 128.4MiB allocated
Compiler: Compiled 21 296 to 2 461 computations (88.4% saved)

prune41.0ms (0.4%)

Memory

18.3MiB live, 58.0MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	468	20	488
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	474	24	498

Accuracy

99.9%

Counts

498 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	51.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
▶	94.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	90.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	93.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	61.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	58.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	26.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))))))
	89.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im))
▶	38.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	93.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
	83.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
✓	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
▶	60.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) im))
▶	40.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	38.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	37.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	59.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
	55.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
	49.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (.f64 (fma.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (cos.f64 re) (+.f64 #s(literal -1/5040 binary64) (/.f64 (/.f64 #s(literal -1/120 binary64) im) im)))) (pow.f64 im #s(literal 7 binary64)))))
▶	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 538 to 1 109 computations (27.9% saved)

simplify171.0ms (1.6%)

Memory

-11.6MiB live, 171.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	501
0	102	495
1	181	489
2	322	489
3	828	489
4	1941	489
5	3602	489
6	4641	489
7	5861	489
8	7478	489
0	8135	489

Stop Event

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

Calls

Call 1

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

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

localize315.0ms (2.9%)

Memory

32.9MiB live, 478.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 (neg.f64 im))
accuracy	0.0	(exp.f64 im)
accuracy	22.829301158100417	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
accuracy	30.771106003767624	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.078125	(.f64 #s(approx ( (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) im)
accuracy	0.32421875	(*.f64 #s(literal -1/6 binary64) im)
accuracy	3.974644035786085	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) im))
accuracy	24.516898990382707	#s(approx (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy	0.06640625	(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal -1/24 binary64))
accuracy	0.12109375	(.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)
accuracy	29.05819194586789	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
accuracy	30.936986680177807	#s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64)))
accuracy	0.0	(neg.f64 im)
accuracy	28.294544575867256	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	29.05819194586789	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	0.046875	(fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
accuracy	3.772830408735292	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

103.0ms	71×	1	valid
87.0ms	58×	2	valid
85.0ms	127×	0	valid

Compiler

Compiled 839 to 131 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

const: 57.0ms (24.7% of total)

ival-mult: 49.0ms (21.2% of total)

ival-add: 43.0ms (18.6% of total)

ival-exp: 41.0ms (17.8% of total)

adjust: 20.0ms (8.7% of total)

ival-cos: 7.0ms (3% of total)

ival-sub: 6.0ms (2.6% of total)

ival-pow: 6.0ms (2.6% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series21.0ms (0.2%)

Memory

-30.5MiB live, 41.8MiB allocated

Counts

22 → 87

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (+ (* (+ (* 1/720 (* re re)) -1/24) (* re re)) 1/2) (* re re)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (* -1/6 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* 1/720 (* re re)) -1/24) (exp im))
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (+ (* (+ (* 1/720 (* re re)) -1/24) (* re re)) 1/2) (* re re)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (* -1/6 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* 1/720 (* re re)) -1/24) (exp im))
2.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (+ (* (+ (* 1/720 (* re re)) -1/24) (* re re)) 1/2) (* re re)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (* -1/6 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* 1/720 (* re re)) -1/24) (exp im))
2.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (+ (* (+ (* 1/720 (* re re)) -1/24) (* re re)) 1/2) (* re re)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (* -1/6 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* 1/720 (* re re)) -1/24) (exp im))
2.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (+ (* (+ (* 1/720 (* re re)) -1/24) (* re re)) 1/2) (* re re)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (* -1/6 im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (+ (* (* -1/2520 im) im) -1/60) (+ (* (+ (* (* -1/2520 im) im) -1/60) (* im im)) -1/3) (+ (* 1/720 (* re re)) -1/24) (exp im))

simplify180.0ms (1.6%)

Memory

-7.4MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	282	1510
1	814	1402
2	2725	1266
3	7559	1266
0	8039	1142

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 87

Calls

Call 1

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

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

rewrite212.0ms (1.9%)

Memory

26.9MiB live, 259.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	376
0	102	370
1	368	364
2	2369	364
0	9051	364

Stop Event

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

Counts

22 → 219

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(literal 1/2 binary64))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 re) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(.f64 (neg.f64 (.f64 im im)) (pow.f64 im #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) im)
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(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) (*.f64 im #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) (.f64 im #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) (*.f64 im #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) (.f64 im #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) (.f64 im #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) (.f64 im #s(literal -1/3 binary64)))) (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal -1/3 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
(fma.f64 im (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im))) (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 im im) (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 re re) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 re re) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 re re) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 re re) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (.f64 (*.f64 re re) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 re re) #s(literal -1/17280 binary64)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/373248000 binary64) #s(literal -1/13824 binary64)))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) re) re #s(literal -1/24 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal -1/24 binary64))
(fma.f64 re (*.f64 #s(literal 1/720 binary64) re) #s(literal -1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) #s(literal 1/720 binary64)))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (-.f64 #s(literal -1/24 binary64) (.f64 (*.f64 re re) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 re re) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(+.f64 (.f64 (.f64 re re) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (.f64 (.f64 re re) #s(literal 1/720 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval66.0ms (0.6%)

Memory: -15.3MiB live, 70.2MiB allocated
Compiler: Compiled 13 302 to 1 751 computations (86.8% saved)

prune41.0ms (0.4%)

Memory

9.6MiB live, 49.1MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	329	9	338
Fresh	4	14	18
Picked	3	2	5
Done	0	1	1
Total	336	26	362

Accuracy

99.9%

Counts

362 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	51.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
▶	94.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	90.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	93.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* -1/2520 im) im) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	61.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	58.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	26.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))))))
	89.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im))
▶	37.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	93.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
	83.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
✓	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
✓	40.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	40.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) (.f64 #s(literal 1/720 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	38.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
▶	37.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
▶	59.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
	55.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
	49.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (.f64 (fma.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (cos.f64 re) (+.f64 #s(literal -1/5040 binary64) (/.f64 (/.f64 #s(literal -1/120 binary64) im) im)))) (pow.f64 im #s(literal 7 binary64)))))
	34.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
	34.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
✓	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 586 to 1 146 computations (27.7% saved)

simplify440.0ms (4%)

Memory

-17.3MiB live, 302.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	522
0	99	515
1	168	515
2	375	515
3	1212	515
4	4077	515
5	7566	515
0	8055	515

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (2.5%)

Memory

35.7MiB live, 468.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.2805568921400248	#s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)))
accuracy	4.515771459788238	(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
accuracy	5.492843794796991	(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
accuracy	22.99023362570401	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
accuracy	0.0	(exp.f64 im)
accuracy	22.829301158100417	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
accuracy	29.978244917166148	#s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im))
accuracy	30.771106003767624	(-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im))
accuracy	0.05078125	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	0.0625	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	6.178874177558863	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	28.549800800758064	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 re re)
accuracy	0.12109375	(.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)
accuracy	29.05819194586789	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
accuracy	30.841808082783114	#s(approx (neg (cos re)) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy	0.0625	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
accuracy	0.1171875	(.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im)
accuracy	3.772830408735292	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

87.0ms	58×	2	valid
82.0ms	127×	0	valid
63.0ms	71×	1	valid

Compiler

Compiled 887 to 118 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 53.0ms (32.7% of total)

ival-exp: 39.0ms (24.1% of total)

adjust: 18.0ms (11.1% of total)

ival-add: 15.0ms (9.3% of total)

const: 15.0ms (9.3% of total)

ival-sub: 9.0ms (5.6% of total)

ival-cos: 7.0ms (4.3% of total)

ival-pow: 3.0ms (1.9% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series25.0ms (0.2%)

Memory

-20.1MiB live, 57.6MiB allocated

Counts

26 → 90

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (pow im 3) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/60 (* im im)) -1/3))) (* (+ (* (* re re) 1/2) -1) im)) (pow im 3) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* re re) (+ (* -1/60 (* im im)) -1/3) (exp im) (* (+ (* (* re re) 1/2) -1) im))
5.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (pow im 3) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/60 (* im im)) -1/3))) (* (+ (* (* re re) 1/2) -1) im)) (pow im 3) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* re re) (+ (* -1/60 (* im im)) -1/3) (exp im) (* (+ (* (* re re) 1/2) -1) im))
4.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (pow im 3) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/60 (* im im)) -1/3))) (* (+ (* (* re re) 1/2) -1) im)) (pow im 3) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* re re) (+ (* -1/60 (* im im)) -1/3) (exp im) (* (+ (* (* re re) 1/2) -1) im))
3.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (pow im 3) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/60 (* im im)) -1/3))) (* (+ (* (* re re) 1/2) -1) im)) (pow im 3) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* re re) (+ (* -1/60 (* im im)) -1/3) (exp im) (* (+ (* (* re re) 1/2) -1) im))
2.0ms	re	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (pow im 3) (* (+ (* (* re re) -1/4) 1/2) (+ (* -1/60 (* im im)) -1/3))) (* (+ (* (* re re) 1/2) -1) im)) (pow im 3) (* (+ (* (* -1/2520 im) im) -1/60) im) (+ (* (* -1/2520 im) im) -1/60) (* re re) (+ (* -1/60 (* im im)) -1/3) (exp im) (* (+ (* (* re re) 1/2) -1) im))

simplify190.0ms (1.7%)

Memory

14.2MiB live, 253.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1277
1	876	1145
2	3050	1087
3	7698	1087
0	8311	987

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

Calls

Call 1

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

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 re re) (.f64 #s(literal 1/48 binary64) (.f64 re re)))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))
(+ (* -1 im) (* 1/2 (* (pow im 3) (- (* -1/60 (pow im 2)) 1/3))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))
(+ (* -1 im) (+ (* 1/2 (* (pow im 3) (- (* -1/60 (pow im 2)) 1/3))) (* (pow re 2) (+ (* -1/4 (* (pow im 3) (- (* -1/60 (pow im 2)) 1/3))) (* 1/2 im)))))
(fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(pow re 2)
(*.f64 re re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (cos re))
(neg.f64 (cos.f64 re))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re)
(* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im))))
(.f64 (.f64 (*.f64 re re) #s(literal -1/4 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/2 (/ (- (exp (neg im)) (exp im)) (pow re 2)))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re))) (*.f64 re re))
(* (pow re 2) (+ (* -1/4 (* (pow im 3) (- (* -1/60 (pow im 2)) 1/3))) (* 1/2 im)))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)) (.f64 #s(literal 1/2 binary64) im)) (*.f64 re re))
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (+ (* -1/4 (* (pow im 3) (- (* -1/60 (pow im 2)) 1/3))) (+ (* 1/2 im) (* 1/2 (/ (* (pow im 3) (- (* -1/60 (pow im 2)) 1/3)) (pow re 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) (.f64 im (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re))))) (.f64 re re))
(* 1/2 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) #s(literal 1/2 binary64)) im)
(* (pow re 2) (+ (* -1 (/ im (pow re 2))) (* 1/2 im)))
(.f64 (.f64 (.f64 im (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 re re)))) re) re)
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 (cos.f64 re)) im))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64))) (.f64 (cos.f64 re) (fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64)))) im)
(* -2 im)
(*.f64 #s(literal -2 binary64) im)
(* im (- (* -1/3 (pow im 2)) 2))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(* im (- (* -1/6 (pow im 2)) 1))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(* -2 (* im (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))
(fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(* im (+ (* -2 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* (pow im 2) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/2520 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))) im)
(* im (- (* 1/2 (pow re 2)) 1))
(.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im)
(* im (- (+ (* -1/3 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2))))) (* 1/2 (pow re 2))) 1))
(.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))
(* im (- (+ (* 1/2 (pow re 2)) (* (pow im 2) (+ (* -1/3 (+ 1/2 (* -1/4 (pow re 2)))) (* -1/60 (* (pow im 2) (+ 1/2 (* -1/4 (pow re 2)))))))) 1))
(fma.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))
(pow im 3)
(pow.f64 im #s(literal 3 binary64))
(* -1/60 im)
(*.f64 #s(literal -1/60 binary64) im)
(* im (- (* -1/2520 (pow im 2)) 1/60))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
-1/60
#s(literal -1/60 binary64)
(- (* -1/2520 (pow im 2)) 1/60)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* -1/60 (pow im 2)) 1/3)
(fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(+ 1 im)
(+.f64 #s(literal 1 binary64) im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal -1 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 im im)) #s(literal -1/3 binary64)) im) im) #s(literal 1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(exp (neg im))
(exp.f64 (neg.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (neg im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1/60 (* (pow im 5) (+ 1/2 (* -1/4 (pow re 2)))))
(.f64 (pow.f64 im #s(literal 5 binary64)) (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/120 binary64)))
(* (pow im 5) (+ (* -1/3 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (* -1/60 (+ 1/2 (* -1/4 (pow re 2))))))
(.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) im) im) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (+ (* -1/3 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))) (+ (* -1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* 1/2 (/ (pow re 2) (pow im 4))))) (/ 1 (pow im 4))))
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) im) im) #s(literal -1/60 binary64)) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 5 binary64)))
(* -1/2520 (pow im 3))
(*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 3) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) im)
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(* -1/60 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(exp im)
(exp.f64 im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 im im)))) (pow.f64 im #s(literal 5 binary64)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(* (+ 1/2 (* -1/4 (pow re 2))) (- (exp (* -1 im)) (exp im)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1 (* (pow im 5) (+ (* 1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* 1/3 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2))))))
(.f64 (.f64 (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) im) im) #s(literal -1/60 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ (* -1 (/ (- (* 1/2 (pow re 2)) 1) (pow im 4))) (+ (* 1/60 (+ 1/2 (* -1/4 (pow re 2)))) (* 1/3 (/ (+ 1/2 (* -1/4 (pow re 2))) (pow im 2)))))))
(.f64 (fma.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1/3 binary64) im) im) #s(literal -1/60 binary64)) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 5 binary64)))

rewrite182.0ms (1.7%)

Memory

19.7MiB live, 201.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	390
0	99	383
1	333	383
2	2223	383
0	8146	383

Stop Event

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

Counts

26 → 304

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
(.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)
(.f64 im #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))))
#s(approx (neg (cos re)) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 re re) #s(literal 1/2 binary64))))
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eval75.0ms (0.7%)

Memory: -7.7MiB live, 116.5MiB allocated
Compiler: Compiled 23 345 to 2 311 computations (90.1% saved)

prune67.0ms (0.6%)

Memory

-7.7MiB live, 170.1MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	442	12	454
Fresh	4	14	18
Picked	2	3	5
Done	0	3	3
Total	448	32	480

Accuracy

99.9%

Counts

480 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	51.9%	(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
✓	94.0%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	93.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* (* -1/2520 im) im) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	90.2%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* (* -1/2520 im) im) -1/60) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	89.7%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	61.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	58.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
	58.3%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	57.9%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 (.f64 im im) #s(literal -1/60 binary64))) (*.f64 im im) #s(literal -2 binary64)) im)))
	26.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))))))
	89.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im))
✓	37.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
	5.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
	93.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
	83.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
✓	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
✓	40.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	40.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) (.f64 #s(literal 1/720 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	38.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
✓	37.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	39.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) im))
	11.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
	60.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	58.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
	55.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
	55.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))))
	49.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (.f64 (fma.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (cos.f64 re) (+.f64 #s(literal -1/5040 binary64) (/.f64 (/.f64 #s(literal -1/120 binary64) im) im)))) (pow.f64 im #s(literal 7 binary64)))))
	34.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
✓	31.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 2 695 to 1 079 computations (60% saved)

regimes79.0ms (0.7%)

Memory

-23.5MiB live, 134.7MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 (.f64 im im) #s(literal -1/60 binary64))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re))) re) re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) (.f64 #s(literal 1/720 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)))) im))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* (* -1/2520 im) im) -1/60) #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/2520 (* im im)) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* -1/2520 im) im) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ (* (* -1/2520 im) im) -1/60) (.f64 #s(literal -1/2520 binary64) (.f64 im im))) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64))) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 (cos.f64 re) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (neg.f64 (cos.f64 re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) im))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (* (cos re) (+ (* (+ (* -1/5040 (* im im)) -1/120) (pow im 4)) (+ (* (* im im) -1/6) -1))) im) (.f64 (fma.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (cos.f64 re) (+.f64 #s(literal -1/5040 binary64) (/.f64 (/.f64 #s(literal -1/120 binary64) im) im)))) (pow.f64 im #s(literal 7 binary64)))))

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
94.0%	1	`re`
99.9%	2	`im`
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
94.0%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
94.0%	1	`(cos.f64 re)`
99.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes25.0ms (0.2%)

Memory

2.0MiB live, 40.6MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

13.0ms	im
9.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

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

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes34.0ms (0.3%)

Memory

11.2MiB live, 49.7MiB allocated

Counts

47 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	im
10.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
9.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
98.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
98.1%	3	`im`
94.0%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes9.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes10.0ms (0.1%)

Memory

-27.5MiB live, 13.6MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
99.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes7.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes44.0ms (0.4%)

Memory

7.9MiB live, 46.7MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

11.0ms	(cos.f64 re)
7.0ms	re
7.0ms	im
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
74.9%	2	`re`
77.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
77.1%	2	`(cos.f64 re)`
86.2%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
86.2%	2	`im`
95.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes99.0ms (0.9%)

Memory

5.6MiB live, 44.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

68.0ms	im
7.0ms	re
7.0ms	(cos.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
61.8%	1	`re`
73.0%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.0%	2	`(cos.f64 re)`
64.1%	2	`im`
64.1%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
73.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes20.0ms (0.2%)

Memory

-5.2MiB live, 32.8MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	(cos.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
72.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
72.3%	2	`(cos.f64 re)`
72.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes20.0ms (0.2%)

Memory

-14.8MiB live, 26.2MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)
5.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
71.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
71.4%	2	`(cos.f64 re)`
71.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes16.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.5%	2	`(cos.f64 re)`
69.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes89.0ms (0.8%)

Memory

-32.2MiB live, 6.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

88.0ms

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

Results

Accuracy	Segments	Branch
69.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes14.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.3%	2	`(cos.f64 re)`
69.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes12.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
68.9%	2	`(cos.f64 re)`
69.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes12.0ms (0.1%)

Memory

-18.4MiB live, 19.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.7%	2	`(cos.f64 re)`
66.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes14.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
55.9%	2	`re`
52.7%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
52.7%	1	`im`
61.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
61.4%	2	`(cos.f64 re)`
61.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

-14.9MiB live, 23.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
39.1%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
39.1%	2	`im`
38.1%	2	`re`
40.4%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
40.4%	2	`(cos.f64 re)`
40.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

-27.0MiB live, 18.0MiB allocated

Accuracy

Total -16.7b remaining (-38.2%)

Threshold costs -16.7b (-38.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
31.7%	1	`re`
31.7%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
31.7%	1	`im`
31.7%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
31.7%	1	`(cos.f64 re)`
31.7%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-28491572.338256914	-0.08145613869890678

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-28491572.338256914	-0.08145613869890678

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.04072806934945339

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	8282775.490904766	+inf
0.0ms	-inf	-0.04072806934945339

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8282775.490904766	+inf
0.0ms	-inf	-0.04072806934945339

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8282775.490904766	+inf
0.0ms	-inf	-0.04072806934945339

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	8282775.490904766	+inf
0.0ms	-0.0015059673987885547	-0.0001005949592576002

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

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	0.0	8282775.490904766

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify119.0ms (1.1%)

Memory

5.3MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	1469
1	210	1469
2	284	1469
3	468	1469
4	767	1469
5	1425	1469
6	2894	1469
7	5057	1469
8	6060	1469
9	6914	1469
10	7037	1469
11	7220	1469
12	7396	1469

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -20000000 binary64)) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -20000000 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 10000000 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 10000000 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 #s(literal -1/6 binary64) im) im #s(literal -1 binary64)))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) (-.f64 #s(literal 1 binary64) im)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 10000000 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 10000000 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) (.f64 #s(literal 1/720 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) (.f64 #s(literal 1/720 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(approx (+ ( 1/720 (* re re)) -1/24) (.f64 #s(literal 1/720 binary64) (.f64 re re))) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Outputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -20000000 binary64)) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -20000000 binary64)) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) im) im #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

soundness2.1s (19.2%)

Memory

28.4MiB live, 1 461.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	294	1277
1	876	1145
2	3050	1087
3	7698	1087
0	8311	987
0	62	390
0	99	383
1	333	383
2	2223	383
0	8146	383
0	66	376
0	102	370
1	368	364
2	2369	364
0	9051	364
0	53	312
0	89	305
1	323	305
2	2122	305
0	8799	305
0	306	1727
1	959	1574
2	3463	1418
3	6772	1417
0	8390	1279
0	282	1510
1	814	1402
2	2725	1266
3	7559	1266
0	8039	1142
0	126	381
1	321	347
2	909	341
3	2922	320
4	6396	320
0	8427	287
0	11	30
0	18	27
1	54	27
2	351	27
0	4158	27

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 2 339 to 864 computations (63.1% saved)

preprocess406.0ms (3.7%)

Memory: -2.0MiB live, 345.5MiB allocated
Remove: (abs re)
Compiler: Compiled 3 438 to 608 computations (82.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.7s (24.4%)

explain227.0ms (2.1%)

preprocess133.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify43.0ms (0.4%)

localize83.0ms (0.8%)

series7.0ms (0.1%)

simplify182.0ms (1.7%)

rewrite111.0ms (1%)

eval52.0ms (0.5%)

prune39.0ms (0.4%)

simplify229.0ms (2.1%)

localize859.0ms (7.8%)

series56.0ms (0.5%)

simplify271.0ms (2.5%)

rewrite454.0ms (4.2%)

eval67.0ms (0.6%)

prune41.0ms (0.4%)

simplify171.0ms (1.6%)

localize315.0ms (2.9%)

series21.0ms (0.2%)

simplify180.0ms (1.6%)

rewrite212.0ms (1.9%)

eval66.0ms (0.6%)

prune41.0ms (0.4%)

simplify440.0ms (4%)

localize275.0ms (2.5%)

series25.0ms (0.2%)

simplify190.0ms (1.7%)

rewrite182.0ms (1.7%)

eval75.0ms (0.7%)

prune67.0ms (0.6%)

regimes79.0ms (0.7%)

regimes25.0ms (0.2%)

regimes34.0ms (0.3%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes44.0ms (0.4%)

regimes99.0ms (0.9%)

regimes20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes16.0ms (0.1%)

regimes89.0ms (0.8%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify119.0ms (1.1%)

soundness2.1s (19.2%)

preprocess406.0ms (3.7%)

end0.0ms (0%)

Profiling