Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample2.4s (24.3%)

Memory

35.6MiB live, 3 608.4MiB allocated

Samples

836.0ms	1 502×	2	valid
590.0ms	2 424×	1	valid
527.0ms	4 330×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-exp: 895.0ms (53.4% of total)

ival-cos: 275.0ms (16.4% of total)

ival-mult: 187.0ms (11.2% of total)

ival-sub: 175.0ms (10.4% of total)

adjust: 122.0ms (7.3% of total)

exact: 10.0ms (0.6% of total)

ival-true: 7.0ms (0.4% of total)

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

Bogosity

explain242.0ms (2.5%)

Memory

-20.9MiB live, 441.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(-.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	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	108×	2	valid
37.0ms	146×	1	valid
28.0ms	258×	0	valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-exp: 61.0ms (60.9% of total)

ival-cos: 15.0ms (15% of total)

adjust: 8.0ms (8% of total)

ival-mult: 8.0ms (8% of total)

ival-sub: 7.0ms (7% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

preprocess137.0ms (1.4%)

Memory

-4.8MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	59
1	79	55
2	234	55
3	732	55
4	1670	55
5	2308	55
6	2516	55
7	2788	55
8	3052	55
9	3249	55
10	3299	55
11	3307	55
12	3307	55
13	3307	55
0	11	12
0	18	11
1	29	11
2	58	11
3	129	11
4	238	11
5	367	11
6	546	11
7	794	11
8	1084	11
9	1219	11
10	1254	11
11	1261	11
12	1261	11
0	1261	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)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(.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)

simplify52.0ms (0.5%)

Memory

0.1MiB live, 41.4MiB 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	367	34
6	546	34
7	794	34
8	1084	34
9	1219	34
10	1254	34
11	1261	34
12	1261	34
0	1261	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)

localize71.0ms (0.7%)

Memory

6.2MiB live, 115.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.0546875	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	30.06417545980072	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

28.0ms	54×	2	valid
19.0ms	73×	1	valid
16.0ms	129×	0	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-exp: 27.0ms (58.6% of total)

ival-cos: 6.0ms (13% of total)

adjust: 4.0ms (8.7% of total)

ival-mult: 4.0ms (8.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())
#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* -2 im) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (- (* -1/3 (pow im 2)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 im) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* 1/2 im)))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())

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))

simplify204.0ms (2.1%)

Memory

-5.5MiB live, 272.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	650
1	321	616
2	909	610
3	2943	589
4	6409	589
0	8371	556

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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

rewrite128.0ms (1.3%)

Memory

-0.8MiB live, 160.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
0	18	27
1	54	27
2	351	27
0	4157	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
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eval41.0ms (0.4%)

Memory: -22.7MiB live, 97.2MiB allocated
Compiler: Compiled 6 074 to 864 computations (85.8% saved)

prune8.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	284	6	290
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	285	6	291

Accuracy

99.9%

Counts

291 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	92.2%	(.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)))
▶	87.0%	(.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)))
	35.6%	#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))))
▶	40.5%	#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)))
▶	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

Compiler

Compiled 172 to 138 computations (19.8% saved)

simplify226.0ms (2.3%)

Memory

-5.9MiB live, 112.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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	#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	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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 #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	42	355
0	70	347
1	129	347
2	247	347
3	501	347
4	936	347
5	1563	347
6	2106	347
7	2392	347
8	2598	347
9	2722	347
10	2808	347
11	3079	347
12	3287	347
13	3605	347
14	5296	347
15	7093	347
16	7484	347
17	7498	347
18	7498	347
19	7884	347
0	8051	347

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

localize299.0ms (3%)

Memory

-1.0MiB live, 280.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	21.90139182034385	#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	30.06417545980072	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.04296875	(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	0.0546875	(.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	0.4675497165067845	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	4.949424164081017	#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	0.03515625	(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
accuracy	0.0546875	(.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)))
accuracy	0.06640625	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	8.292673173097526	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	0	(neg.f64 (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	0.10546875	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	30.126143683638542	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.02734375	(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	0.0546875	(.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	0.4909509553236866	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	3.5412457939514885	#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

123.0ms	73×	1	valid
98.0ms	54×	2	valid
39.0ms	129×	0	valid

Compiler

Compiled 274 to 39 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-exp: 74.0ms (37.5% of total)

exact: 37.0ms (18.8% of total)

ival-mult: 30.0ms (15.2% of total)

adjust: 18.0ms (9.1% of total)

const: 13.0ms (6.6% of total)

ival-add: 10.0ms (5.1% of total)

ival-cos: 7.0ms (3.5% of total)

ival-sub: 6.0ms (3% of total)

ival-neg: 2.0ms (1% of total)

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

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

series28.0ms (0.3%)

Memory

-1.2MiB live, 41.1MiB allocated

Counts

22 → 336

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #<representation binary64>) () ())) ())
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#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (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))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (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 (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))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (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 (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))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))
1.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (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))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (+ (* -1/2520 (* im im)) -1/60) (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (+ (* -1/3 (* im im)) -2) (* (+ (* -1/3 (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) (exp im))

simplify169.0ms (1.7%)

Memory

22.7MiB live, 206.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	3245
1	560	3071
2	1766	3032
3	3975	2980
0	8113	2822

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

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

rewrite195.0ms (2%)

Memory

-33.4MiB live, 295.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	255
0	70	247
1	240	247
2	1420	247
0	8471	247

Stop Event

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

Counts

22 → 375

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

Outputs
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eval101.0ms (1%)

Memory: 27.5MiB live, 181.5MiB allocated
Compiler: Compiled 17 176 to 2 343 computations (86.4% saved)

prune47.0ms (0.5%)

Memory

-31.9MiB live, 89.9MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	764	23	787
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	768	25	793

Accuracy

100.0%

Counts

793 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.2%	(.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)))
▶	57.7%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	55.2%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	61.6%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
▶	57.2%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	57.5%	(.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)))
	55.4%	(.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)))
	53.1%	(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
	62.1%	(.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)))
▶	59.9%	(.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)))
	56.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))))) im))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)))) im))
	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
▶	92.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
	87.0%	#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))))
✓	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	59.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
	38.5%	#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))
	42.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
	38.0%	#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))
▶	30.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 875 to 642 computations (26.6% saved)

simplify270.0ms (2.7%)

Memory

40.7MiB live, 193.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (* 1/2 (cos re)) (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)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
cost-diff	0	(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))
cost-diff	0	#s(approx (* 1/2 (cos re)) (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)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
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	(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	(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
cost-diff	0	(cos.f64 re)
cost-diff	0	(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.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 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	515
0	96	507
1	185	507
2	401	507
3	993	505
4	2043	505
5	3151	505
6	4205	505
7	5027	505
8	6214	505
9	7003	505
10	7100	505
11	7378	505
12	7737	505
0	8057	505

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(cos.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 im im)
im
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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)
(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)) (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)))
(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))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)) (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)))
(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))
(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))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal 1/48 binary64)
#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 (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)

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.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 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im) (neg.f64 (cos.f64 re))))
(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im) (neg.f64 (cos.f64 re)))
(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.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)) (cos.f64 re))
(cos.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
im
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
im
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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)) #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))
(.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)
(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos re)) (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)))
#s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64)))
(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))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/48 binary64) #s(literal -1/4 binary64))
#s(literal 1/48 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
(.f64 #s(approx ( 1/2 (cos re)) (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))) #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 #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)) (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))))
#s(approx (* 1/2 (cos re)) (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)))
(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))
(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))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
#s(literal -1/1440 binary64)
(*.f64 re re)
re
#s(literal 1/48 binary64)
#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 (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)

localize304.0ms (3.1%)

Memory

-21.9MiB live, 384.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))
accuracy	0.4909509553236866	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	3.5412457939514885	#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	33.51099244688688	#s(approx (* 1/2 (cos re)) (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)))
accuracy	0.06640625	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	0.1015625	(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	8.292673173097526	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	33.55159750267121	#s(approx (* 1/2 (cos re)) (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)))
accuracy	0.0546875	(.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	0.4675497165067845	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	4.949424164081017	#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	30.777993187453706	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 im)
accuracy	30.126143683638542	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	30.595693812401983	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	0.04296875	(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
accuracy	0.08203125	(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
accuracy	0.4725348511442008	(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
accuracy	4.950219753349048	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))

Samples

95.0ms	129×	0	valid
75.0ms	54×	2	valid
74.0ms	73×	1	valid

Compiler

Compiled 374 to 59 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult: 82.0ms (40.5% of total)

const: 36.0ms (17.8% of total)

ival-exp: 31.0ms (15.3% of total)

ival-add: 22.0ms (10.9% of total)

adjust: 18.0ms (8.9% of total)

ival-cos: 7.0ms (3.5% of total)

ival-sub: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series46.0ms (0.5%)

Memory

4.3MiB live, 80.9MiB allocated

Counts

27 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation binary64>) () ())
#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation binary64>) () ())
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) (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))) (patch #s(approx (* 1/2 (cos re)) (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (cos re)) (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))) #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))) (patch (.f64 #s(approx (* 1/2 (cos re)) (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))) #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))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) (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))) (patch #s(approx ( 1/2 (cos re)) (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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) #<representation binary64>) () ())
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#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (patch (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 re) (#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (taylor 0 re) (#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 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))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (+ (* -1/3 (* im im)) -2) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/1440 (* re re)) 1/48))
3.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (+ (* -1/3 (* im im)) -2) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/1440 (* re re)) 1/48))
3.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (+ (* -1/3 (* im im)) -2) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/1440 (* re re)) 1/48))
3.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (+ (* -1/3 (* im im)) -2) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/1440 (* re re)) 1/48))
2.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) (+ (* 1/48 (* re re)) -1/4) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (+ (* -1/3 (* im im)) -2) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/1440 (* re re)) 1/48))

simplify175.0ms (1.8%)

Memory

39.1MiB live, 296.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	4753
1	783	4548
2	2647	4405
3	6369	4387
0	8297	4130

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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

rewrite242.0ms (2.5%)

Memory

-29.0MiB live, 339.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	405
0	96	397
1	373	397
2	2619	397
0	9127	397

Stop Event

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

Counts

27 → 401

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
(.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(cos.f64 re)
(fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (neg (cos re)) im) (neg.f64 im))
(neg.f64 im)
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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)
(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)) (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)))
(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))
(fma.f64 #s(literal 1/48 binary64) (*.f64 re re) #s(literal -1/4 binary64))
(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)) (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)))
(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))
(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))
(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -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))
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64))

Outputs
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eval113.0ms (1.1%)

Memory: 15.6MiB live, 246.0MiB allocated
Compiler: Compiled 22 378 to 2 542 computations (88.6% saved)

prune110.0ms (1.1%)

Memory

-28.7MiB live, 154.2MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	808	13	821
Fresh	7	11	18
Picked	3	2	5
Done	1	1	2
Total	819	27	846

Accuracy

100.0%

Counts

846 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	57.7%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	61.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
✓	57.2%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) im)))
▶	57.5%	(.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)))
	55.4%	(.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)))
	53.1%	(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
	62.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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)))
	56.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
▶	59.9%	(.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)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
▶	92.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im)))
	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))))) im))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)))) im))
	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
▶	87.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
✓	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	59.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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))
	38.5%	#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))
	42.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
▶	38.0%	#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))
	33.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
	33.7%	#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))))))
✓	30.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 914 to 679 computations (25.7% saved)

simplify241.0ms (2.4%)

Memory

17.1MiB live, 132.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	473
0	89	466
1	160	466
2	311	466
3	727	462
4	1631	462
5	3275	462
6	4354	462
7	5872	462
8	7357	462
0	8239	462

Stop Event

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

Calls

Call 1

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

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

localize459.0ms (4.7%)

Memory

12.3MiB live, 346.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))
accuracy	0.08203125	(.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)
accuracy	4.950219753349048	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
accuracy	30.5930701204139	#s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64))
accuracy	0.0546875	(.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)))
accuracy	0.4909509553236866	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	3.5412457939514885	#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	33.51089051638061	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0.0546875	(.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)))
accuracy	0.08203125	(*.f64 #s(literal -1/60 binary64) im)
accuracy	4.949424164081017	#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))
accuracy	30.777993187453706	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0	(*.f64 re re)
accuracy	0.10546875	(.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)
accuracy	30.126143683638542	#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	33.510909021382886	#s(approx (neg (cos re)) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))
accuracy	0.10546875	(*.f64 (cos.f64 re) im)
accuracy	0.4725348511442008	(fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))
accuracy	4.950219753349048	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im)))

Samples

199.0ms	54×	2	valid
118.0ms	73×	1	valid
86.0ms	129×	0	valid

Compiler

Compiled 348 to 52 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-mult: 124.0ms (38.7% of total)

ival-exp: 120.0ms (37.5% of total)

const: 32.0ms (10% of total)

ival-add: 17.0ms (5.3% of total)

adjust: 15.0ms (4.7% of total)

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

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

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series55.0ms (0.6%)

Memory

-8.0MiB live, 90.3MiB allocated

Counts

26 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) (patch (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) #<representation binary64>) () ())
#s(alt #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) (patch #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.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) (patch (.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) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) (patch (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/60 binary64) im) (patch (.f64 #s(literal -1/60 binary64) im) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) (patch #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow im 5) (+ (* 1/120 (cos re)) (+ (* 1/6 (/ (cos re) (pow im 2))) (/ (cos re) (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) (patch (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	im	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (* im im)) -1) (+ (* -1/120 (* im im)) -1/6) (* im 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))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (cos re) im) (* -1/60 im) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im))
2.0ms	im	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (* im im)) -1) (+ (* -1/120 (* im im)) -1/6) (* im 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))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (cos re) im) (* -1/60 im) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im))
2.0ms	re	@	inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (* im im)) -1) (+ (* -1/120 (* im im)) -1/6) (* im 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))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (cos re) im) (* -1/60 im) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im))
2.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (* im im)) -1) (+ (* -1/120 (* im im)) -1/6) (* im 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))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (cos re) im) (* -1/60 im) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im))
2.0ms	im	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* (+ (* -1/120 (* im im)) -1/6) (* im im)) -1) (+ (* -1/120 (* im im)) -1/6) (* im 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))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1) (* (cos re) im) (* -1/60 im) (- (exp (- 0 im)) (exp im)) (+ (* -1/2520 (* im im)) -1/60) (+ (* -1/120 (* im im)) -1/6) (* (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) im))

simplify211.0ms (2.1%)

Memory

-5.9MiB live, 259.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	4487
1	782	4282
2	2596	4131
3	5940	4048
0	8275	3812

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 419

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

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

rewrite217.0ms (2.2%)

Memory

31.6MiB live, 309.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	355
0	89	348
1	310	348
2	2058	348
0	8150	348

Stop Event

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

Counts

26 → 283

Calls

Call 1

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

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eval178.0ms (1.8%)

Memory: -4.3MiB live, 406.0MiB allocated
Compiler: Compiled 21 638 to 2 484 computations (88.5% saved)

prune61.0ms (0.6%)

Memory

10.9MiB live, 203.1MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	937	6	943
Fresh	2	17	19
Picked	1	4	5
Done	0	3	3
Total	940	30	970

Accuracy

100.0%

Counts

970 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	57.7%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
	61.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))
✓	57.2%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	32.9%	(.f64 #s(approx ( 1/2 (cos re)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) im)))
	55.4%	(.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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	57.5%	(.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(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)))
	62.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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)))
	56.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
	45.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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)))
	59.9%	(.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 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
✓	59.9%	(.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)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
✓	92.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im)))
	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))))) im))
	40.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)))) im))
	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
✓	87.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
	53.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
✓	52.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	59.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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))
	38.5%	#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))
	42.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
✓	38.0%	#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))
	12.6%	#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))
	33.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
	33.7%	#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))))))
✓	30.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 455 to 606 computations (58.4% saved)

regimes108.0ms (1.1%)

Memory

-41.1MiB live, 137.3MiB 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.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 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (.f64 (cos.f64 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 (.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)))
#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))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))))) im))

Outputs

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

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

Calls

6 calls:

35.0ms	re
19.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
13.0ms	(cos.f64 re)
13.0ms	im
13.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
94.4%	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)))`
94.4%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
94.4%	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)

regimes45.0ms (0.5%)

Memory

-6.7MiB live, 107.3MiB allocated

Counts

45 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.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 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (.f64 (cos.f64 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 (.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)))
#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))))

Outputs

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

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

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

Calls

3 calls:

17.0ms	im
15.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
11.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
99.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
98.0%	3	`im`
94.4%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes11.0ms (0.1%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

40 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.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)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)))

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

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes12.0ms (0.1%)

Memory

2.0MiB live, 41.1MiB allocated

Counts

39 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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) (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes12.0ms (0.1%)

Memory

5.1MiB live, 44.1MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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)) #s(literal 1 binary64)) (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 (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))) #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)))

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
99.7%	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)

regimes24.0ms (0.2%)

Memory

-31.0MiB live, 49.7MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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))

Outputs

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

Calls

2 calls:

13.0ms	im
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
87.3%	3	`im`
97.5%	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 13 to 13 computations (0% saved)

regimes176.0ms (1.8%)

Memory

27.0MiB live, 103.1MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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

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

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

Calls

6 calls:

128.0ms	(cos.f64 re)
13.0ms	re
9.0ms	im
9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
65.7%	3	`im`
65.6%	3	`re`
63.8%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
74.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
74.1%	2	`(cos.f64 re)`
75.9%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes33.0ms (0.3%)

Memory

-22.1MiB live, 59.1MiB 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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 (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))) #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 (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))) #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 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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

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

(*.f64 #s(approx (* 1/2 (cos re)) (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))) #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:

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

Results

Accuracy	Segments	Branch
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	2	`(cos.f64 re)`
75.5%	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 18 to 19 computations (-5.6% saved)

regimes8.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

28 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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 #s(approx ( 1/2 (cos re)) (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))) #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 (fma.f64 #s(approx (+ (* -1/1440 (* re re)) 1/48) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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

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

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
75.5%	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)

regimes25.0ms (0.3%)

Memory

1.6MiB live, 39.2MiB allocated

Counts

26 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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(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 #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 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re 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)) (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))) #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)))

Outputs

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

Calls

3 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)))
7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	2	`(cos.f64 re)`
73.9%	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)

regimes16.0ms (0.2%)

Memory

-14.1MiB live, 24.1MiB 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

2 calls:

9.0ms	(cos.f64 re)
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))

Results

Accuracy	Segments	Branch
73.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.9%	2	`(cos.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes19.0ms (0.2%)

Memory

-1.9MiB live, 37.0MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) 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)) #s(approx (+ (* (+ (* (+ (* -1/1440 (* re re)) 1/48) (* re re)) -1/4) (* re re)) 1/2) #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))) (*.f64 (*.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))) (fma.f64 (*.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 (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

3 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)))
6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
6.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
73.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
73.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.5%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes21.0ms (0.2%)

Memory

-12.8MiB live, 41.4MiB 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 ( 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)))
(.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 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/60 binary64) im) im #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #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)) (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))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) (.f64 #s(literal -1/3 binary64) (.f64 im im))) im)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
71.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
71.3%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

10 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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(literal 1/2 binary64)))

Outputs

#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))) (*.f64 #s(approx (* (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))) im))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
70.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.2%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes11.0ms (0.1%)

Memory

-15.6MiB live, 23.0MiB allocated

Counts

7 → 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 #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))) (.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)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (+ (* 1/48 (* re re)) -1/4) (* re re)) 1/2) #s(literal 1/2 binary64))) #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 (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))

Outputs

#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))

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

Calls

3 calls:

5.0ms	(cos.f64 re)
3.0ms	(*.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
66.5%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
66.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.5%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes16.0ms (0.2%)

Memory

-10.6MiB live, 27.7MiB allocated

Counts

4 → 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 #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))) (.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 (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))

#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:

6.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	im
2.0ms	(cos.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
48.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
45.4%	4	`re`
53.2%	3	`im`
59.2%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
49.8%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
49.8%	3	`(cos.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

25.3MiB live, 25.3MiB 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 #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))) (*.f64 #s(approx (neg (cos re)) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))

Outputs

#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)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
38.0%	1	`re`
40.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
40.7%	2	`(cos.f64 re)`
39.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
39.9%	2	`im`
40.6%	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)

regimes10.0ms (0.1%)

Memory

-22.4MiB live, 15.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
30.4%	1	`re`
30.4%	1	`im`
30.4%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
30.4%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
30.4%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
30.4%	1	`(cos.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.002457903254368121

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009222187545992288	+inf
0.0ms	-inf	-5.3743519490588576e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009222187545992288	+inf
0.0ms	-inf	-5.3743519490588576e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009222187545992288	+inf
0.0ms	-inf	-5.3743519490588576e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009222187545992288	+inf
0.0ms	-inf	-5.3743519490588576e-8

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0009222187545992288	+inf
0.0ms	-5.3743519490588576e-8	-1.3322676295501878e-14

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0009222187545992288
0.0ms	-5.3743519490588576e-8	-1.3322676295501878e-14

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0009222187545992288
0.0ms	-5.3743519490588576e-8	-1.3322676295501878e-14

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0009222187545992288
0.0ms	-5.3743519490588576e-8	-1.3322676295501878e-14

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06925761753807574	0.0020893349095279616

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	-0.06925761753807574	0.0020893349095279616

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06925761753807574	0.0020893349095279616

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06925761753807574	0.0020893349095279616

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06925761753807574	0.0020893349095279616

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	-0.06925761753807574	0.0020893349095279616

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.0009222187545992288
0.0ms	-inf	-5.3743519490588576e-8

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	-0.06925761753807574	0.0020893349095279616

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify37.0ms (0.4%)

Memory

17.4MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1779
1	203	1779
2	220	1779
3	228	1779
4	231	1779

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) 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)) #s(literal 1 binary64)) (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 1152921504606847/1152921504606846976 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))))
(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)) #s(literal 1 binary64)) (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 1152921504606847/1152921504606846976 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))))
(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)) #s(literal 1 binary64)) (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 1152921504606847/1152921504606846976 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 (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))) #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)))))
(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)) #s(literal 1 binary64)) (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 1152921504606847/1152921504606846976 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 (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))) #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)))))
(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 -944473296573929/18889465931478580854784 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (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))) #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)))))
(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 -944473296573929/18889465931478580854784 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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 (* (neg (cos re)) im) (neg.f64 im))) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))))
(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 -944473296573929/18889465931478580854784 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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 (* (neg (cos re)) im) (neg.f64 im))) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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 -944473296573929/18889465931478580854784 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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 (* (neg (cos re)) im) (neg.f64 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(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)))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 #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))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (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 (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 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 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 (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 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) (fma.f64 (.f64 im im) #s(approx (+ (* -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) im)))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #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))) (.f64 #s(approx ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) im)))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
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(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #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))))
#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 -inf.0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -inf.0 binary64)) (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 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 -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (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 1152921504606847/1152921504606846976 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.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)) (.f64 (cos.f64 re) im))) (.f64 #s(approx ( 1/2 (cos re)) (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))) #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)))))
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(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (fma.f64 (.f64 im im) #s(approx (+ ( -1/120 (* im im)) -1/6) #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(approx (cos re) (fma.f64 #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 ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) im)))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #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))) (.f64 #s(approx ( (cos re) (+ (* (* im im) (+ (* -1/120 (* im im)) -1/6)) -1)) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64))) im)))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)) (.f64 #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)) #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 -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (.f64 im im)) 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 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (.f64 (neg.f64 im) im) im))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.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))))
(if (<=.f64 (cos.f64 re) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) #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))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

soundness1.6s (16.2%)

Memory

28.3MiB live, 1 230.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	405
0	96	397
1	373	397
2	2619	397
0	9127	397
0	269	4487
1	782	4282
2	2596	4131
3	5940	4048
0	8275	3812
0	271	4753
1	783	4548
2	2647	4405
3	6369	4387
0	8297	4130
0	199	3245
1	560	3071
2	1766	3032
3	3975	2980
0	8113	2822
0	126	650
1	321	616
2	909	610
3	2943	589
4	6409	589
0	8371	556

Stop Event

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

Compiler

Compiled 1 842 to 788 computations (57.2% saved)

preprocess602.0ms (6.1%)

Memory: -155.7MiB live, 413.7MiB allocated
Remove: (abs re)
Compiler: Compiled 2 506 to 482 computations (80.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.4s (24.3%)

explain242.0ms (2.5%)

preprocess137.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.5%)

localize71.0ms (0.7%)

series9.0ms (0.1%)

simplify204.0ms (2.1%)

rewrite128.0ms (1.3%)

eval41.0ms (0.4%)

prune8.0ms (0.1%)

simplify226.0ms (2.3%)

localize299.0ms (3%)

series28.0ms (0.3%)

simplify169.0ms (1.7%)

rewrite195.0ms (2%)

eval101.0ms (1%)

prune47.0ms (0.5%)

simplify270.0ms (2.7%)

localize304.0ms (3.1%)

series46.0ms (0.5%)

simplify175.0ms (1.8%)

rewrite242.0ms (2.5%)

eval113.0ms (1.1%)

prune110.0ms (1.1%)

simplify241.0ms (2.4%)

localize459.0ms (4.7%)

series55.0ms (0.6%)

simplify211.0ms (2.1%)

rewrite217.0ms (2.2%)

eval178.0ms (1.8%)

prune61.0ms (0.6%)

regimes108.0ms (1.1%)

regimes45.0ms (0.5%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes24.0ms (0.2%)

regimes176.0ms (1.8%)

regimes33.0ms (0.3%)

regimes8.0ms (0.1%)

regimes25.0ms (0.3%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify37.0ms (0.4%)

soundness1.6s (16.2%)

preprocess602.0ms (6.1%)

end0.0ms (0%)

Profiling