Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample2.5s (26.6%)

Memory

31.6MiB live, 2 973.5MiB allocated

Samples

920.0ms	1 508×	2	valid
611.0ms	2 466×	1	valid
609.0ms	4 282×	0	valid

Precisions

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

ival-exp: 868.0ms (50.1% of total)

ival-mult: 233.0ms (13.5% of total)

ival-sub: 231.0ms (13.3% of total)

ival-cos: 229.0ms (13.2% of total)

adjust: 152.0ms (8.8% of total)

exact: 9.0ms (0.5% of total)

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

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

Bogosity

explain234.0ms (2.5%)

Memory

-5.4MiB live, 386.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	134	0
-	0	122

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	174×	1	valid
40.0ms	82×	2	valid
23.0ms	256×	0	valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-exp: 49.0ms (57.3% of total)

ival-cos: 14.0ms (16.4% of total)

ival-mult: 8.0ms (9.4% of total)

adjust: 7.0ms (8.2% of total)

ival-sub: 6.0ms (7% of total)

exact: 1.0ms (1.2% of total)

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

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

preprocess135.0ms (1.4%)

Memory

23.7MiB live, 101.2MiB allocated

Algorithm

1×	egg-herbie

Rules

772×	`lower-fma.f64`
772×	`lower-fma.f32`
484×	`lower-*.f32`
480×	`lower-*.f64`
460×	`times-frac`

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(.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)

simplify42.0ms (0.4%)

Memory

-8.9MiB live, 29.4MiB 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)

Rules

772×	`lower-fma.f64`
772×	`lower-fma.f32`
484×	`lower-*.f32`
480×	`lower-*.f64`
206×	`distribute-lft-in`

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)

localize101.0ms (1.1%)

Memory

-26.4MiB live, 139.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.0703125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	30.492852811121576	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

29.0ms	87×	1	valid
20.0ms	41×	2	valid
14.0ms	128×	0	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-exp: 25.0ms (59.6% of total)

ival-cos: 6.0ms (14.3% of total)

adjust: 4.0ms (9.5% of total)

ival-mult: 4.0ms (9.5% of total)

ival-sub: 3.0ms (7.2% 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

16.5MiB live, 16.5MiB 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	@	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	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))

simplify170.0ms (1.8%)

Memory

-3.0MiB live, 268.9MiB allocated

Algorithm

1×	egg-herbie

Rules

19 220×	`lower-fma.f64`
19 220×	`lower-fma.f32`
5 096×	`lower-*.f64`
5 096×	`lower-*.f32`
4 044×	`lower-+.f64`

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)

rewrite100.0ms (1.1%)

Memory

19.1MiB live, 176.0MiB allocated

Rules

1 682×	`lower-fma.f64`
1 682×	`lower-fma.f32`
1 604×	`lower-*.f32`
1 600×	`lower-*.f64`
1 456×	`lower-/.f64`

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
(.f64 (/.f64 (.f64 im im) (*.f64 im im)) (neg.f64 im))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (.f64 (neg.f64 im) im))
(.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 im im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (.f64 im im))
(.f64 (/.f64 (.f64 im im) (*.f64 (neg.f64 im) im)) im)
(.f64 (/.f64 (.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im))
(.f64 (/.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im))
(.f64 (/.f64 (.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (pow.f64 im #s(literal -1 binary64)) (.f64 (neg.f64 im) im))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 im im))
(.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) im)))
(*.f64 #s(literal -1 binary64) im)
(.f64 (.f64 (neg.f64 im) im) (pow.f64 im #s(literal -1 binary64)))
(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 im im) #s(literal -1 binary64)) im)
(/.f64 (/.f64 (.f64 im im) (.f64 (neg.f64 im) im)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal -1 binary64))) (.f64 im im))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal -1 binary64))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal -2 binary64))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (pow.f64 im #s(literal -2 binary64))) (pow.f64 im #s(literal 6 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) im))
(/.f64 (.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im im)))
(/.f64 (.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 im im)))
(/.f64 (.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 im im))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 im) im) #s(literal 1 binary64)) im)
(/.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (pow.f64 im #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (.f64 (.f64 im im) (pow.f64 im #s(literal 6 binary64))))
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 im (pow.f64 im #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64))))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (*.f64 im im) (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(neg.f64 im)
(fma.f64 (/.f64 (.f64 im im) (.f64 im im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im im) (.f64 (neg.f64 im) im)) im #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 im) im) (.f64 (neg.f64 im) im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im im) (pow.f64 im #s(literal 3 binary64))) (.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal -1 binary64)) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (/.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (cos.f64 re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (cos.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
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(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 9 binary64)) (pow.f64 (exp.f64 im) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (exp.f64 im) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)) (pow.f64 (exp.f64 im) #s(literal 6 binary64))) (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 9 binary64)) (pow.f64 (exp.f64 im) #s(literal 9 binary64))) (*.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) (neg.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (+.f64 (expm1.f64 (.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3/2 binary64))) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 im))) (neg.f64 (exp.f64 im)))
(fma.f64 #s(literal -1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (neg.f64 (exp.f64 im)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) #s(literal 0 binary64)) (exp.f64 im))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(-.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(+.f64 (neg.f64 (exp.f64 im)) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (neg.f64 (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval36.0ms (0.4%)

Memory: -11.9MiB live, 101.2MiB allocated
Compiler: Compiled 6 074 to 864 computations (85.8% saved)

prune324.0ms (3.4%)

Memory

-220.0MiB live, 82.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	282	8	290
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	283	8	291

Accuracy

99.9%

Counts

291 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.2%	(.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)))
	88.1%	(.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)))
▶	82.1%	(.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)))
	54.8%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
▶	41.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
▶	38.7%	#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)))
	82.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
▶	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

Compiler

Compiled 212 to 176 computations (17% saved)

simplify203.0ms (2.1%)

Memory

34.4MiB live, 186.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

7 840×	`lower-fma.f32`
7 830×	`lower-fma.f64`
2 890×	`lower-*.f32`
2 870×	`lower-*.f64`
1 444×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	328
0	68	321
1	122	321
2	232	321
3	523	321
4	1131	321
5	2372	321
6	3715	321
7	4907	321
8	5617	321
9	5795	321
10	5934	321
11	6105	321
12	6247	321
13	6474	321
14	7679	321
0	8001	321

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

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

localize214.0ms (2.3%)

Memory

-28.0MiB live, 545.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	3.9955184007692175	(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy	23.964289342131096	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
accuracy	30.492852811121576	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0	(exp.f64 (neg.f64 im))
accuracy	0	(exp.f64 im)
accuracy	24.48459843700537	#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	30.492852811121576	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy	0.0390625	(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
accuracy	0.0703125	(.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	0.1015625	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	11.362003509855477	#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	0.1328125	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	29.05826407327575	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.0703125	(.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	0.4835565623749022	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	4.2567155529338185	#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

68.0ms	87×	1	valid
60.0ms	128×	0	valid
53.0ms	41×	2	valid

Compiler

Compiled 258 to 39 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-exp: 43.0ms (34.1% of total)

ival-mult: 34.0ms (26.9% of total)

const: 12.0ms (9.5% of total)

ival-cos: 11.0ms (8.7% of total)

adjust: 10.0ms (7.9% of total)

ival-add: 9.0ms (7.1% of total)

ival-sub: 5.0ms (4% of total)

ival-neg: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series29.0ms (0.3%)

Memory

-9.9MiB live, 70.1MiB allocated

Counts

22 → 348

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 #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 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) (patch (.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 #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<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 (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 (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>) () ())) ())
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#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 (* -1/2520 (pow im 4)) (taylor -inf im) (#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 (* -1 (* (pow im 4) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#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 (* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#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 (* (pow im 4) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#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 (* -1/3 (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 (* -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 (* -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 (* -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 (* -1/3 (pow im 3)) (taylor -inf im) (#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 (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#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 (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#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 (* -1 (* (pow im 3) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#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 (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
5.0ms	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 (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* -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) (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 (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* -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) (exp im))
2.0ms	re	@	0	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 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)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* -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) (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 (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* -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) (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 (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (+ (* (* re re) -1/4) 1/2) (- (exp (neg im)) (exp im))) (+ (* (* re re) -1/4) 1/2) (* re re) (+ (* -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) (exp im))

simplify166.0ms (1.8%)

Memory

39.8MiB live, 269.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 144×	`lower-fma.f64`
12 144×	`lower-fma.f32`
5 166×	`lower-*.f64`
5 166×	`lower-*.f32`
4 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	238	3696
1	689	3414
2	2251	3320
3	5234	3275
0	8178	3106

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

rewrite235.0ms (2.5%)

Memory

-7.4MiB live, 302.3MiB allocated

Rules

6 230×	`lower-fma.f32`
6 220×	`lower-fma.f64`
3 926×	`lower-*.f32`
3 906×	`lower-*.f64`
3 468×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
0	68	238
1	228	238
2	1332	238
0	8489	238

Stop Event

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

Counts

22 → 477

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

Outputs
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (neg.f64 (cos.f64 re)))
(cos.f64 re)
(+.f64 #s(literal 0 binary64) (cos.f64 re))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 im (neg.f64 (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)))) (+.f64 #s(literal 0 binary64) (.f64 im (cos.f64 re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 im (cos.f64 re)) (.f64 im (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re))))))
(/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(neg.f64 (*.f64 im (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 im (cos.f64 re)) (.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(+.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)) (.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (.f64 (cos.f64 re) #s(literal 0 binary64)) (.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (.f64 (neg.f64 im) (cos.f64 re)) (.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(+.f64 (.f64 (neg.f64 im) (cos.f64 re)) (.f64 (cos.f64 re) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.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))))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re)))) (-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))) (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (neg.f64 (cos.f64 re)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re))
(/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.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)))))
(neg.f64 (cos.f64 re))
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 re)) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (cos.f64 re)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re)))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #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 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))) (.f64 (.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im)))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
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(/.f64 (-.f64 (.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im)))) (.f64 (.f64 im #s(literal -2 binary64)) (.f64 im #s(literal -2 binary64)))) (-.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 im #s(literal -2 binary64)) (.f64 im #s(literal -2 binary64))) (.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))))) (-.f64 (.f64 im #s(literal -2 binary64)) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) (-.f64 (.f64 (.f64 #s(literal -2 binary64) im) (.f64 #s(literal -2 binary64) im)) (.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) (.f64 #s(literal -2 binary64) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) im) (.f64 #s(literal -2 binary64) im) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im)) (.f64 (.f64 #s(literal -2 binary64) im) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) #s(literal 3 binary64)) (pow.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (-.f64 (.f64 (.f64 im #s(literal -2 binary64)) (.f64 im #s(literal -2 binary64))) (.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) #s(literal 3 binary64))) (fma.f64 (.f64 im #s(literal -2 binary64)) (.f64 im #s(literal -2 binary64)) (-.f64 (.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im)))) (.f64 (.f64 im #s(literal -2 binary64)) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)) (fma.f64 #s(literal 1/3 binary64) (.f64 im im) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im)) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (.f64 im im) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) (.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)))))
(/.f64 im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))))
(fma.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (pow.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))
(fma.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)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) im))
(fma.f64 #s(literal -2 binary64) im (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 im im)) im))
(fma.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im)) (*.f64 im #s(literal -2 binary64)))
(fma.f64 im (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)) #s(literal 0 binary64)))
(fma.f64 im #s(literal -2 binary64) (.f64 im (.f64 #s(literal -1/3 binary64) (*.f64 im im))))
(+.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
(+.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im) (.f64 #s(literal -2 binary64) im))
(+.f64 (.f64 #s(literal -2 binary64) im) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im))
(+.f64 (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))) (.f64 im #s(literal -2 binary64)))
(+.f64 (.f64 im #s(literal -2 binary64)) (.f64 im (.f64 #s(literal -1/3 binary64) (.f64 im im))))
(+.f64 (.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)) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval161.0ms (1.7%)

Memory: 5.9MiB live, 281.0MiB allocated
Compiler: Compiled 21 868 to 2 624 computations (88% saved)

prune42.0ms (0.4%)

Memory

-10.4MiB live, 115.2MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	951	19	970
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	958	20	978

Accuracy

100.0%

Counts

978 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.1%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
	51.1%	(.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)))
▶	49.2%	(.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)))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg 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))))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64))) im))
	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re)) im))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) im))
	37.6%	#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)))
	54.4%	#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))
▶	81.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
✓	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	29.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
	38.1%	#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))
	34.6%	#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))
	35.1%	#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))
▶	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	52.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
	48.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
▶	29.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))

Compiler

Compiled 502 to 410 computations (18.3% saved)

simplify204.0ms (2.2%)

Memory

-12.0MiB live, 231.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.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) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
cost-diff	0	(.f64 (fma.f64 #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	#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 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(neg.f64 im)
cost-diff	0	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 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)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
cost-diff	320	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))

Rules

11 036×	`lower-fma.f32`
11 024×	`lower-fma.f64`
3 568×	`lower-*.f32`
3 548×	`lower-*.f64`
1 228×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	357
0	71	344
1	131	344
2	257	339
3	562	339
4	1050	339
5	2437	339
6	3855	339
7	5027	339
8	6290	339
9	7369	339
10	7570	339
11	7684	339
12	7909	339
0	8001	339

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

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(.f64 #s(literal -1/3 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (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 #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 (.f64 im im) #s(literal -1/3 binary64) #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 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64))
#s(literal -1/3 binary64)
(*.f64 im im)
im
#s(literal -2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (cos.f64 re)))
(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) im)
(*.f64 im (cos.f64 re))
(cos.f64 re)
re
im
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal -1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal -1 binary64)

localize200.0ms (2.1%)

Memory

2.8MiB live, 355.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
accuracy	0.1015625	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy	0.1328125	(*.f64 (cos.f64 re) im)
accuracy	11.553022484901284	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
accuracy	0.4855314485742319	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
accuracy	4.257179863462044	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))
accuracy	24.48459843700537	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
accuracy	0.0703125	(.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)))
accuracy	0.1015625	(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
accuracy	11.362003509855477	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im))
accuracy	29.766789837625147	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0	(neg.f64 im)
accuracy	24.48459843700537	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
accuracy	29.056667605377143	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im))
accuracy	0.03515625	(fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))
accuracy	0.0703125	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
accuracy	0.21484375	(.f64 #s(literal -1/3 binary64) (.f64 im im))
accuracy	11.362003509855477	#s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im)))

Samples

62.0ms	87×	1	valid
62.0ms	128×	0	valid
44.0ms	41×	2	valid

Compiler

Compiled 255 to 41 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 40.0ms (32.2% of total)

ival-exp: 34.0ms (27.4% of total)

adjust: 14.0ms (11.3% of total)

const: 14.0ms (11.3% of total)

ival-add: 8.0ms (6.4% of total)

ival-cos: 6.0ms (4.8% of total)

ival-sub: 5.0ms (4% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series33.0ms (0.3%)

Memory

5.9MiB live, 42.6MiB allocated

Counts

23 → 360

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)) (patch (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #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)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #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 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)) (patch #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (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 #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 #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 #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 (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 #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)) (patch #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/3 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/3 binary64) (.f64 im im)) #<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 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (patch (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #<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)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #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)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #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)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (patch (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2))))) (taylor -inf im) (#s(alt (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) (patch (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	((+ (* (* -1/3 (* im im)) im) (* -2 im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* -1/3 (* im im)) (+ (* -1/3 (* im im)) -2) (+ (* -1/5040 (* im im)) -1/120) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
3.0ms	re	@	0	((+ (* (* -1/3 (* im im)) im) (* -2 im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* -1/3 (* im im)) (+ (* -1/3 (* im im)) -2) (+ (* -1/5040 (* im im)) -1/120) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
3.0ms	im	@	-inf	((+ (* (* -1/3 (* im im)) im) (* -2 im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* -1/3 (* im im)) (+ (* -1/3 (* im im)) -2) (+ (* -1/5040 (* im im)) -1/120) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
2.0ms	im	@	0	((+ (* (* -1/3 (* im im)) im) (* -2 im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* -1/3 (* im im)) (+ (* -1/3 (* im im)) -2) (+ (* -1/5040 (* im im)) -1/120) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
2.0ms	re	@	inf	((+ (* (* -1/3 (* im im)) im) (* -2 im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (neg im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* im im)) -1) (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (- (exp (- 0 im)) (exp im)) (* -1/3 (* im im)) (+ (* -1/3 (* im im)) -2) (+ (* -1/5040 (* im im)) -1/120) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))

simplify200.0ms (2.1%)

Memory

8.4MiB live, 245.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 248×	`lower-fma.f64`
14 248×	`lower-fma.f32`
4 994×	`lower-*.f64`
4 994×	`lower-*.f32`
3 872×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	214	3685
1	601	3491
2	2028	3390
3	4403	3340
4	7843	3340
0	8510	3175

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 359

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

rewrite235.0ms (2.5%)

Memory

6.1MiB live, 239.8MiB allocated

Rules

9 242×	`lower-fma.f32`
9 230×	`lower-fma.f64`
4 180×	`lower-*.f32`
4 160×	`lower-*.f64`
3 494×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	303
0	71	290
1	246	290
2	1498	290
0	8688	290

Stop Event

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

Counts

23 → 445

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im) im) (/.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im) (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 im (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 im im) (.f64 #s(literal -1/9 binary64) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) im (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64))))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (.f64 #s(literal -2 binary64) im) (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
(.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im))) (pow.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 im im) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) im)))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (.f64 #s(literal -2 binary64) im) (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)
(.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))) (.f64 (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))))) (fma.f64 (/.f64 #s(literal 1/9 binary64) im) (/.f64 (pow.f64 im #s(literal 6 binary64)) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (fma.f64 (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (.f64 im (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im)) (neg.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im)) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 im (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 im im) (.f64 #s(literal -1/9 binary64) (pow.f64 im #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im))))) (neg.f64 (neg.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (.f64 #s(literal -2 binary64) im) (fma.f64 #s(literal -2 binary64) im (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 im im)))) (.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 (.f64 im (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64))) (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))
(/.f64 (.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 im im) #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 im im) (.f64 #s(literal -1/9 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) im (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im)))) (neg.f64 (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 im im) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) im)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (.f64 #s(literal -2 binary64) im) (fma.f64 #s(literal -2 binary64) im (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im))) (.f64 im (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 im im) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) im))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/27 binary64) (pow.f64 (.f64 #s(literal -2 binary64) im) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (.f64 #s(literal -2 binary64) im) (fma.f64 #s(literal -2 binary64) im (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 im im) #s(literal 2/3 binary64)))) (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64)) (.f64 im (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -4 binary64)))))
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(/.f64 (.f64 (.f64 (cos.f64 re) im) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im) (*.f64 (cos.f64 re) im)))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (.f64 (neg.f64 im) (cos.f64 re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))) (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (*.f64 (cos.f64 re) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal 1/6 binary64)))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im) (.f64 (cos.f64 re) im)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (.f64 (neg.f64 im) (cos.f64 re))))) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)))))
(/.f64 (.f64 (cos.f64 re) im) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (cos.f64 re)) im (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) (cos.f64 re)) im (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 (.f64 (cos.f64 re) im) (.f64 im im)) #s(literal -1/6 binary64) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 (.f64 (cos.f64 re) im) im) (.f64 #s(literal -1/6 binary64) im) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im) (cos.f64 re) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) (.f64 (cos.f64 re) im) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) im) (.f64 #s(literal -1/6 binary64) (.f64 im im)) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (.f64 (cos.f64 re) im) #s(literal -1 binary64) (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 re) im) (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 im im) (.f64 (cos.f64 re) im)) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (neg.f64 im) (cos.f64 re) (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(fma.f64 (cos.f64 re) (.f64 im (.f64 #s(literal -1/6 binary64) (.f64 im im))) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (neg.f64 im) (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)))
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) (.f64 (cos.f64 re) im)) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 (cos.f64 re) im)) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (.f64 (cos.f64 re) (.f64 #s(literal -1/6 binary64) (.f64 im im))) (.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (.f64 (cos.f64 re) #s(literal -1 binary64)) (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im) (.f64 (cos.f64 re) im))) (/.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im) (*.f64 (cos.f64 re) im))))
(-.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (*.f64 (cos.f64 re) im))
(+.f64 (.f64 (neg.f64 im) (cos.f64 re)) (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (*.f64 im im)))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 re) im) #s(literal -1/6 binary64)) (.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))

eval127.0ms (1.3%)

Memory: 35.2MiB live, 190.0MiB allocated
Compiler: Compiled 18 074 to 2 161 computations (88% saved)

prune89.0ms (0.9%)

Memory

-57.7MiB live, 122.4MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	803	14	817
Fresh	3	11	14
Picked	3	2	5
Done	0	1	1
Total	809	28	837

Accuracy

100.0%

Counts

837 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))))))
	51.1%	(.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)))
	49.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
	49.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (.f64 im #s(literal -1/3 binary64)) im #s(literal -2 binary64)) im)))
	24.9%	(.f64 #s(approx ( 1/2 (cos 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)))
▶	29.5%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
▶	68.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg 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))))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 binary64))) im))
	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re)) im))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) im))
▶	37.6%	#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)))
✓	81.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
✓	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.1%	#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))
	34.6%	#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))
	35.1%	#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))
	31.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	52.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
▶	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
	48.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
▶	30.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
✓	29.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))

Compiler

Compiled 782 to 621 computations (20.6% saved)

simplify127.0ms (1.3%)

Memory

24.7MiB live, 175.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (neg im)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
cost-diff	0	(*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64))
cost-diff	0	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
cost-diff	0	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 im))
cost-diff	1216	(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
cost-diff	0	(.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
cost-diff	0	(fma.f64 #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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))))
cost-diff	192	(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))

Rules

10 782×	`lower-fma.f32`
10 772×	`lower-fma.f64`
4 328×	`lower-*.f32`
4 310×	`lower-*.f64`
1 628×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	443
0	87	443
1	144	434
2	277	414
3	744	411
4	2204	407
5	6218	407
0	8294	403

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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 im im)
im
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im))
(.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)
#s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64))
#s(literal -2 binary64)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 im im)
im
(/.f64 #s(literal 1 binary64) (neg.f64 im))
#s(literal 1 binary64)
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 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)))
(*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
im
#s(literal 1/2 binary64)

Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/36 binary64) (neg.f64 im)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))
(.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/36 binary64) (neg.f64 im)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (cos.f64 re))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))
(/.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/36 binary64) (neg.f64 im)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 im im)
im
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/36 binary64) (neg.f64 im)) (cos.f64 re))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(*.f64 (cos.f64 re) im)
(cos.f64 re)
re
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ (* -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im))
(.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)
#s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64))
#s(literal -2 binary64)
im
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im))
(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(neg.f64 im)
(*.f64 im im)
im
(/.f64 #s(literal 1 binary64) (neg.f64 im))
(/.f64 #s(literal -1 binary64) im)
#s(literal 1 binary64)
(neg.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im)))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (neg.f64 im))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal -1/120 binary64)
#s(literal -1/6 binary64)
#s(literal -1 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)))
(*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 im)
im
#s(literal 1/2 binary64)

localize208.0ms (2.2%)

Memory

25.4MiB live, 380.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	24.48459843700537	#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)))
accuracy	30.29046493247059	#s(approx (exp (neg im)) #s(literal 1 binary64))
accuracy	30.492852811121576	(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
accuracy	0.20703125	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
accuracy	0.4855314485742319	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
accuracy	4.257179863462044	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))
accuracy	24.48459843700537	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
accuracy	0	(neg.f64 im)
accuracy	24.48459843700537	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
accuracy	26.18284555383499	(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
accuracy	29.056667605377143	#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
accuracy	0.0703125	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
accuracy	11.362003509855477	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im))
accuracy	29.290048219869586	#s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64))
accuracy	29.766789837625147	#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
accuracy	0.1328125	(*.f64 (cos.f64 re) im)
accuracy	0.18587875976844204	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))
accuracy	11.553022484901284	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))))
accuracy	16.76850387770677	(/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))

Samples

64.0ms	87×	1	valid
61.0ms	128×	0	valid
50.0ms	41×	2	valid

Compiler

Compiled 319 to 49 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-exp: 34.0ms (26% of total)

ival-mult: 32.0ms (24.4% of total)

const: 19.0ms (14.5% of total)

adjust: 14.0ms (10.7% of total)

ival-add: 9.0ms (6.9% of total)

ival-div: 7.0ms (5.3% of total)

ival-cos: 7.0ms (5.3% of total)

ival-sub: 5.0ms (3.8% of total)

ival-pow: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series85.0ms (0.9%)

Memory

-37.8MiB live, 85.6MiB allocated

Counts

26 → 420

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) (patch (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im) (patch (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im) #<representation binary64>) () ())
#s(alt (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) (patch (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 im)) (patch (/.f64 #s(literal 1 binary64) (neg.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))) (patch #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)) (patch #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) (patch (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)) (patch (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) (patch (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg im)) #s(literal 1 binary64)) (patch #s(approx (exp (neg im)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))) (patch (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())

Outputs
#s(alt (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/2 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (* 1/24 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/2 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (* (pow re 2) (+ (* -1/720 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))) (* 1/24 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)))) #<representation binary64>) () ())) ())
#s(alt (* im (- (* 1/36 (pow im 4)) 1)) (taylor 0 re) (#s(alt (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) (patch (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))) (* im (- (* 1/36 (pow im 4)) 1))) (taylor 0 re) (#s(alt (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) (patch (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (+ (* im (- (* 1/36 (pow im 4)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* 1/36 (pow im 4)) 1))) (* 1/24 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))))))) (taylor 0 re) (#s(alt (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) (patch (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (+ (* im (- (* 1/36 (pow im 4)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* 1/36 (pow im 4)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))) (* 1/24 (* im (- (* 1/36 (pow im 4)) 1)))))))) (taylor 0 re) (#s(alt (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) (patch (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im)) #<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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.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 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))) #<representation binary64>) () ())) ())
#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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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 #s(approx (+ ( -1/3 (* im im)) -2) #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>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 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>) () ())) ())
#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>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (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>) () ())) ())
#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))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.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 #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))) #<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))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 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 #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 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 #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (+ (* 6 (/ 1 (cos re))) (/ 216 (* (pow im 4) (cos re)))) (/ 36 (* (pow im 2) (cos re)))) (pow im 3))) (taylor -inf im) (#s(alt (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))) (patch (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 6 (/ 1 (cos re))) (* 216 (/ 1 (* (pow im 4) (cos re))))) (+ (* 1296 (/ 1 (* (pow im 6) (cos re)))) (/ 36 (* (pow im 2) (cos re))))) (pow im 3))) (taylor -inf im) (#s(alt (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))) (patch (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))) #<representation binary64>) () ())) ())
#s(alt (* im (cos re)) (taylor -inf im) (#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* im (cos re)) (taylor -inf im) (#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* im (cos re)) (taylor -inf im) (#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* im (cos re)) (taylor -inf im) (#s(alt (.f64 (cos.f64 re) im) (patch (.f64 (cos.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow im 2)) (taylor -inf im) (#s(alt #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/3 (* 2 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) (patch #s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) #<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
25.0ms	im	@	inf	((/ 1 (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)))) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* -1/6 (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* im im) (/ 1 (neg im))) (/ 1 (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) im) -1) (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (* (cos re) im) (+ (* -1/3 (* im im)) -2) (neg im) (+ (* -1/5040 (* im im)) -1/120) (exp im))
5.0ms	re	@	0	((/ 1 (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)))) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* -1/6 (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* im im) (/ 1 (neg im))) (/ 1 (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) im) -1) (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (* (cos re) im) (+ (* -1/3 (* im im)) -2) (neg im) (+ (* -1/5040 (* im im)) -1/120) (exp im))
4.0ms	im	@	-inf	((/ 1 (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)))) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* -1/6 (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* im im) (/ 1 (neg im))) (/ 1 (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) im) -1) (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (* (cos re) im) (+ (* -1/3 (* im im)) -2) (neg im) (+ (* -1/5040 (* im im)) -1/120) (exp im))
3.0ms	im	@	0	((/ 1 (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)))) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* -1/6 (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* im im) (/ 1 (neg im))) (/ 1 (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) im) -1) (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (* (cos re) im) (+ (* -1/3 (* im im)) -2) (neg im) (+ (* -1/5040 (* im im)) -1/120) (exp im))
3.0ms	re	@	inf	((/ 1 (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)))) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (+ (* -1/6 (* im im)) 1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im)) (* (+ (* -1/3 (* im im)) -2) im) (* (* im im) (/ 1 (neg im))) (/ 1 (neg im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (+ (* (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) im) -1) (* (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (- (exp (neg im)) (exp im)) 1/2) (- (exp (neg im)) (exp im)) (exp (neg im)) (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (* (cos re) im) (+ (* -1/3 (* im im)) -2) (neg im) (+ (* -1/5040 (* im im)) -1/120) (exp im))

simplify227.0ms (2.4%)

Memory

32.8MiB live, 182.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 510×	`lower-fma.f64`
13 510×	`lower-fma.f32`
6 450×	`lower-*.f64`
6 450×	`lower-*.f32`
4 660×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	4924
1	1096	4709
2	3715	4484
0	8401	4234

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 419

Calls

Call 1

Inputs
(/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))
(+ (* -1/2 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))))
(+ (* (pow re 2) (+ (* -1/2 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (* 1/24 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))))
(+ (* (pow re 2) (+ (* -1/2 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (* (pow re 2) (+ (* -1/720 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))) (* 1/24 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))))
(* im (- (* 1/36 (pow im 4)) 1))
(+ (* -1/2 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))) (* im (- (* 1/36 (pow im 4)) 1)))
(+ (* im (- (* 1/36 (pow im 4)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* 1/36 (pow im 4)) 1))) (* 1/24 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))))))
(+ (* im (- (* 1/36 (pow im 4)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* 1/36 (pow im 4)) 1))) (* (pow re 2) (+ (* -1/720 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))) (* 1/24 (* im (- (* 1/36 (pow im 4)) 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
(+ 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 (- (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 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))
(+ (* -1/6 (/ im (- (* 1/36 (pow im 4)) 1))) (+ (* 1/2 (/ (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))) (* im (- (* 1/36 (pow im 4)) 1)))) (/ 1 (* im (- (* 1/36 (pow im 4)) 1)))))
(+ (* -1/6 (/ im (- (* 1/36 (pow im 4)) 1))) (+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))) (* 1/24 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1))))))) (* -1/2 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))))) (/ 1 (* im (- (* 1/36 (pow im 4)) 1)))))
(+ (* -1/6 (/ im (- (* 1/36 (pow im 4)) 1))) (+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/720 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))) (+ (* 1/48 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))) (* 1/2 (+ (* -1/4 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))) (* 1/24 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))))))))) (+ (* -1/4 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))) (* 1/24 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1))))))) (* -1/2 (/ (+ 1 (* -1/6 (pow im 2))) (* im (- (* 1/36 (pow im 4)) 1)))))) (/ 1 (* im (- (* 1/36 (pow im 4)) 1)))))
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 (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 1)))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 1)))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 1)))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 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))))
(* 1/2 (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) (- (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 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(/ (+ 1 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(/ (+ 1 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(/ (+ 1 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(/ (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 1)))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 1)))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 1)))
(* im (* (cos re) (- (* 1/36 (pow im 4)) 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))))
(* 1/2 (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) (- (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 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(/ (+ 1 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(/ (+ 1 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(/ (+ 1 (* -1/6 (pow im 2))) (* im (* (cos re) (- (* 1/36 (pow im 4)) 1))))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* 1/36 (* (pow im 4) (cos re)))))
(* im (+ (* -1 (cos re)) (* 1/36 (* (pow im 4) (cos re)))))
(* im (+ (* -1 (cos re)) (* 1/36 (* (pow im 4) (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
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* -1/6 (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)))))))))
(* -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 (- (* -1/3 (pow im 2)) 2))
(* im (- (* -1/3 (pow im 2)) 2))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(/ -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)))))))))
(* -1 im)
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -1 (* 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)
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
-1
(- (* -1/6 (pow im 2)) 1)
(- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1)
(- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1)
(* -1/6 im)
(* im (- (* -1/120 (pow im 2)) 1/6))
(* im (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6))
(* im (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 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)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -1 im)
(* im (- (* -1/6 (pow im 2)) 1))
(* im (- (* (pow im 2) (- (* -1/120 (pow im 2)) 1/6)) 1))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/5040 (pow im 2)) 1/120)) 1/6)) 1))
(* -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 (cos re)))
(/ (- (* 1/6 (/ (pow im 2) (cos re))) (/ 1 (cos re))) im)
(/ (- (* (pow im 2) (+ (* -1/36 (/ (pow im 2) (cos re))) (* 1/6 (/ 1 (cos re))))) (/ 1 (cos re))) im)
(/ (- (* (pow im 2) (+ (* (pow im 2) (- (* 1/216 (/ (pow im 2) (cos re))) (* 1/36 (/ 1 (cos re))))) (* 1/6 (/ 1 (cos re))))) (/ 1 (cos re))) im)
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
-2
(- (* -1/3 (pow im 2)) 2)
(- (* -1/3 (pow im 2)) 2)
(- (* -1/3 (pow im 2)) 2)
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
-1/120
(- (* -1/5040 (pow im 2)) 1/120)
(- (* -1/5040 (pow im 2)) 1/120)
(- (* -1/5040 (pow im 2)) 1/120)
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1/6 (* (pow im 3) (cos re)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(* 1/36 (* (pow im 5) (cos re)))
(* (pow im 5) (+ (* -1 (/ (cos re) (pow im 4))) (* 1/36 (cos re))))
(* (pow im 5) (+ (* -1 (/ (cos re) (pow im 4))) (* 1/36 (cos re))))
(* (pow im 5) (+ (* -1 (/ (cos re) (pow im 4))) (* 1/36 (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))))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* 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))
(* -1/3 (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 im)
(* -1 im)
(* -1 im)
(* -1 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))))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (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 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* -1/5040 (pow im 6))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 5))
(* -1 (* (pow im 5) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* 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 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (exp (neg im)) (exp im)))
(* 1/2 (- (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))
(/ -6 (* (pow im 3) (cos re)))
(/ (- (* 36 (/ 1 (* (pow im 2) (cos re)))) (* 6 (/ 1 (cos re)))) (pow im 3))
(/ (- (/ 36 (* (pow im 2) (cos re))) (+ (* 6 (/ 1 (cos re))) (/ 216 (* (pow im 4) (cos re))))) (pow im 3))
(/ (- (+ (* 1296 (/ 1 (* (pow im 6) (cos re)))) (/ 36 (* (pow im 2) (cos re)))) (+ (* 6 (/ 1 (cos re))) (* 216 (/ 1 (* (pow im 4) (cos re)))))) (pow im 3))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* -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 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* -1/5040 (pow im 2))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(exp im)
(exp im)
(exp im)
(exp im)
(* -1/6 (* (pow im 3) (cos re)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(* 1/36 (* (pow im 5) (cos re)))
(* -1 (* (pow im 5) (+ (* -1/36 (cos re)) (/ (cos re) (pow im 4)))))
(* -1 (* (pow im 5) (+ (* -1/36 (cos re)) (/ (cos re) (pow im 4)))))
(* -1 (* (pow im 5) (+ (* -1/36 (cos re)) (/ (cos re) (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))))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* 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))
(* -1/3 (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 im)
(* -1 im)
(* -1 im)
(* -1 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))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (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 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* -1/5040 (pow im 6))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1/5040 (pow im 5))
(* -1 (* (pow im 5) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 5) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 5) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 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))))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(* 1/2 (- (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))
(/ -6 (* (pow im 3) (cos re)))
(* -1 (/ (- (* 6 (/ 1 (cos re))) (* 36 (/ 1 (* (pow im 2) (cos re))))) (pow im 3)))
(* -1 (/ (- (+ (* 6 (/ 1 (cos re))) (/ 216 (* (pow im 4) (cos re)))) (/ 36 (* (pow im 2) (cos re)))) (pow im 3)))
(* -1 (/ (- (+ (* 6 (/ 1 (cos re))) (* 216 (/ 1 (* (pow im 4) (cos re))))) (+ (* 1296 (/ 1 (* (pow im 6) (cos re)))) (/ 36 (* (pow im 2) (cos re))))) (pow im 3)))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* -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 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* -1/5040 (pow im 2))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(exp im)
(exp im)
(exp im)
(exp im)

Outputs
(/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(+ (* -1/2 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+ (* (pow re 2) (+ (* -1/2 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (* 1/24 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))))
(fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (.f64 re re) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 im (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(+ (* (pow re 2) (+ (* -1/2 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))) (* (pow re 2) (+ (* -1/720 (/ (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1))) (+ 1 (* -1/6 (pow im 2))))) (* 1/24 (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2))))))))) (/ (* im (- (* 1/36 (pow im 4)) 1)) (+ 1 (* -1/6 (pow im 2)))))
(fma.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) re) re) (/.f64 im (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (fma.f64 (.f64 re re) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 re re)))
(* im (- (* 1/36 (pow im 4)) 1))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) im)
(+ (* -1/2 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))) (* im (- (* 1/36 (pow im 4)) 1)))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) im))
(+ (* im (- (* 1/36 (pow im 4)) 1)) (* (pow re 2) (+ (* -1/2 (* im (- (* 1/36 (pow im 4)) 1))) (* 1/24 (* im (* (pow re 2) (- (* 1/36 (pow im 4)) 1)))))))
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(.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)))
(* -1/6 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/6 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* 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))
(* -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)
(* -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 (* (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 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(/ -1 im)
(/.f64 #s(literal -1 binary64) im)
(/ -1 im)
(/.f64 #s(literal -1 binary64) im)
(/ -1 im)
(/.f64 #s(literal -1 binary64) im)
(/ -1 im)
(/.f64 #s(literal -1 binary64) 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)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 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)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* -1/5040 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 6) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow im 2)))) (pow im 2))) 1/5040))
(.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 im im)) #s(literal -1/120 binary64)) im) im) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/6 (/ 1 (pow im 2))) (pow im 4))) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* -1/5040 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow im 5) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ 1/5040 (+ (/ 1/6 (pow im 4)) (* 1/120 (/ 1 (pow im 2)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (.f64 im im))) (pow.f64 im #s(literal 5 binary64)))
(* 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)))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (- (exp (* -1 im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(- (exp (* -1 im)) (exp 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))
(/ -6 (* (pow im 3) (cos re)))
(/.f64 (/.f64 #s(literal -6 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))
(* -1 (/ (- (* 6 (/ 1 (cos re))) (* 36 (/ 1 (* (pow im 2) (cos re))))) (pow im 3)))
(/.f64 (-.f64 (/.f64 #s(literal 36 binary64) (.f64 (.f64 (cos.f64 re) im) im)) (/.f64 #s(literal 6 binary64) (cos.f64 re))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 6 (/ 1 (cos re))) (/ 216 (* (pow im 4) (cos re)))) (/ 36 (* (pow im 2) (cos re)))) (pow im 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 36 binary64) (.f64 (.f64 (cos.f64 re) im) im)) (/.f64 #s(literal 6 binary64) (cos.f64 re))) (/.f64 (/.f64 #s(literal 216 binary64) (cos.f64 re)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 6 (/ 1 (cos re))) (* 216 (/ 1 (* (pow im 4) (cos re))))) (+ (* 1296 (/ 1 (* (pow im 6) (cos re)))) (/ 36 (* (pow im 2) (cos re))))) (pow im 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 36 binary64) (.f64 (.f64 (cos.f64 re) im) im)) (/.f64 (/.f64 #s(literal 216 binary64) (cos.f64 re)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (cos.f64 re)) (/.f64 (/.f64 #s(literal 1296 binary64) (cos.f64 re)) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 3 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)
(* -1/3 (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 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1/5040 (pow im 2))
(.f64 #s(literal -1/5040 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(* -1 (* (pow im 2) (+ 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)

rewrite186.0ms (2%)

Memory

16.1MiB live, 283.4MiB allocated

Rules

6 928×	`lower-fma.f32`
6 918×	`lower-fma.f64`
4 016×	`lower-*.f32`
3 998×	`lower-*.f64`
3 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	374
0	87	366
1	293	329
2	1825	319
0	8344	312

Stop Event

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

Counts

26 → 801

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 im im) #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im))
(.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)
(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) 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)))
(*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))
(*.f64 (cos.f64 re) im)
#s(approx (+ (* -1/3 (* im im)) -2) #s(literal -2 binary64))
(neg.f64 im)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal -1/120 binary64))
(exp.f64 im)

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

eval203.0ms (2.1%)

Memory: 18.6MiB live, 447.4MiB allocated
Compiler: Compiled 24 525 to 4 003 computations (83.7% saved)

prune71.0ms (0.7%)

Memory

-30.2MiB live, 170.1MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	1 207	13	1 220
Fresh	2	18	20
Picked	3	2	5
Done	0	3	3
Total	1 212	36	1 248

Accuracy

100.0%

Counts

1 248 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 binary64))))))))
	51.1%	(.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)))
	49.2%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
	24.9%	(.f64 #s(approx ( 1/2 (cos 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)))
✓	29.5%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
	20.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal 1 binary64) (neg.f64 im))))
	52.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(approx ( (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (*.f64 (neg.f64 im) (cos.f64 re))))))
	54.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) im))))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg 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))))
	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re)) im))
	54.4%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) im))
✓	37.6%	#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)))
	3.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
✓	81.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
✓	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	38.1%	#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))
	34.6%	#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))
	35.1%	#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))
	31.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) im) im #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	52.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
	56.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
	52.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
	48.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) im)))
	48.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
	30.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))
	15.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
	15.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 im (/.f64 #s(literal -1 binary64) im)) (/.f64 im (.f64 im im)))))))
	15.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))))
	16.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) (/.f64 (.f64 im im) (*.f64 im #s(literal 1 binary64)))))))
	15.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 #s(literal -1 binary64) (.f64 im im)) im))))
✓	29.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))

Compiler

Compiled 1 289 to 687 computations (46.7% saved)

regimes113.0ms (1.2%)

Memory

-6.0MiB live, 166.4MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 #s(approx ( 1/2 (cos 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(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 (.f64 im #s(literal -1/3 binary64)) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 #s(literal -1 binary64) (.f64 im im)) 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) (/.f64 (.f64 im im) (*.f64 im #s(literal 1 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 im (/.f64 #s(literal -1 binary64) im)) (/.f64 im (.f64 im 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (/.f64 (/.f64 #s(literal -1 binary64) (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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(approx ( (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (*.f64 (neg.f64 im) (cos.f64 re))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #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 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 2 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 (/.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#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 #s(literal 1 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) 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))) (fma.f64 (cos.f64 re) (cos.f64 re) #s(literal 0 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)))

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

Calls

6 calls:

34.0ms	(cos.f64 re)
20.0ms	re
17.0ms	im
14.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
13.0ms	(.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
93.2%	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)))`
93.2%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
93.2%	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)

regimes47.0ms (0.5%)

Memory

11.3MiB live, 81.9MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 #s(approx ( 1/2 (cos 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(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 (.f64 im #s(literal -1/3 binary64)) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 #s(literal -1 binary64) (.f64 im im)) 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) (/.f64 (.f64 im im) (*.f64 im #s(literal 1 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 im (/.f64 #s(literal -1 binary64) im)) (/.f64 im (.f64 im 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (/.f64 (/.f64 #s(literal -1 binary64) (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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(approx ( (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (*.f64 (neg.f64 im) (cos.f64 re))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64) #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 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal -4 binary64) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 im (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal 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)))

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

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

Calls

3 calls:

18.0ms	im
16.0ms	(.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)))`
99.1%	3	`im`
93.2%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes17.0ms (0.2%)

Memory

-7.1MiB live, 27.5MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 #s(approx ( 1/2 (cos 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(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 (.f64 im #s(literal -1/3 binary64)) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 #s(literal -1 binary64) (.f64 im im)) 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) (/.f64 (.f64 im im) (*.f64 im #s(literal 1 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 im (/.f64 #s(literal -1 binary64) im)) (/.f64 im (.f64 im 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (/.f64 (/.f64 #s(literal -1 binary64) (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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(approx ( (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (*.f64 (neg.f64 im) (cos.f64 re))))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 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)))

(*.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)))

Calls

1 calls:

10.0ms

(*.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
98.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes33.0ms (0.3%)

Memory

7.8MiB live, 51.2MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 #s(approx ( 1/2 (cos 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(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 (.f64 im #s(literal -1/3 binary64)) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 #s(literal -1 binary64) (.f64 im im)) 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) (/.f64 (.f64 im im) (*.f64 im #s(literal 1 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 im (/.f64 #s(literal -1 binary64) im)) (/.f64 im (.f64 im 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (/.f64 (/.f64 #s(literal -1 binary64) (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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 im im) #s(literal 1 binary64)) #s(approx ( (+ (* (pow im 4) 1/36) -1) (* (cos re) im)) (*.f64 (neg.f64 im) (cos.f64 re))))))

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)))

(*.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)))

Calls

2 calls:

21.0ms	im
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
97.2%	3	`im`
97.3%	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 13 to 13 computations (0% saved)

regimes11.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 #s(approx (+ ( -1/3 (* im im)) -2) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (/.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 #s(approx ( 1/2 (cos 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(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 (.f64 im #s(literal -1/3 binary64)) im #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 (neg.f64 im) (*.f64 im im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 #s(literal -1 binary64) (.f64 im im)) 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)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) 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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) im) im #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (fma.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) #s(literal -1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) im) (.f64 im im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) im) im) (/.f64 (.f64 im im) (*.f64 im #s(literal 1 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 im (/.f64 #s(literal -1 binary64) im)) (/.f64 im (.f64 im 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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
#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)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* -1/6 (* im im)) 1) (* (+ (* (pow im 4) 1/36) -1) (* (cos re) im))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) 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)))

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

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
98.8%	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)

regimes16.0ms (0.2%)

Memory

-10.0MiB live, 24.9MiB allocated

Counts

39 → 3

Calls

Call 1

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

#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))

Calls

1 calls:

13.0ms

(*.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
98.8%	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)

regimes15.0ms (0.2%)

Memory

-11.9MiB live, 23.0MiB allocated

Counts

36 → 3

Calls

Call 1

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

Calls

1 calls:

13.0ms

(*.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
98.6%	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)

regimes74.0ms (0.8%)

Memory

7.3MiB live, 168.6MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

#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))

Calls

6 calls:

18.0ms	(cos.f64 re)
16.0ms	im
11.0ms	re
11.0ms	(*.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
73.3%	2	`re`
73.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
73.3%	2	`(cos.f64 re)`
81.9%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
88.5%	5	`im`
93.8%	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)

regimes80.0ms (0.8%)

Memory

6.3MiB live, 125.4MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

25.0ms	im
16.0ms	(cos.f64 re)
12.0ms	re
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
56.9%	1	`re`
69.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.2%	2	`(cos.f64 re)`
56.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
62.0%	3	`im`
69.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes26.0ms (0.3%)

Memory

11.2MiB live, 50.1MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

9.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms	(cos.f64 re)
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
69.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
69.1%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.1%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes24.0ms (0.3%)

Memory

6.0MiB live, 45.0MiB allocated

Counts

27 → 2

Calls

Call 1

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

Calls

3 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)
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
68.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
68.2%	2	`(cos.f64 re)`
68.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes35.0ms (0.4%)

Memory

-52.6MiB live, 31.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
63.8%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
63.8%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes19.0ms (0.2%)

Memory

-1.1MiB live, 38.1MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.8%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
61.9%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
61.9%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes28.0ms (0.3%)

Memory

12.9MiB live, 51.9MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms	im
4.0ms	re
4.0ms	(cos.f64 re)
4.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
49.2%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
49.2%	1	`re`
49.2%	1	`im`
58.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
58.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
58.5%	2	`(cos.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes34.0ms (0.4%)

Memory

-26.7MiB live, 11.8MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

#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 (* 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

2 calls:

29.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
58.5%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
58.5%	2	`(cos.f64 re)`

Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes11.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
58.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
58.2%	2	`(cos.f64 re)`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes81.0ms (0.9%)

Memory

-18.2MiB live, 23.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

Calls

6 calls:

68.0ms	im
3.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 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
48.9%	1	`im`
48.9%	1	`re`
48.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
48.9%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
48.9%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
48.9%	1	`(cos.f64 re)`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	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
29.5%	1	`im`
29.5%	1	`re`
29.5%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
29.5%	1	`(cos.f64 re)`
29.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
29.5%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes20.0ms (0.2%)

Memory

-14.4MiB live, 23.5MiB allocated

Accuracy

Total -16.7b remaining (-36.8%)

Threshold costs -16.7b (-36.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

12.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
2.0ms	(cos.f64 re)
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
29.2%	1	`re`
29.2%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
29.2%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
29.2%	1	`(cos.f64 re)`
29.2%	1	`im`
29.2%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.0002251811690970884

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.721593210887636e-14	+inf
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.721593210887636e-14	+inf
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.721593210887636e-14	+inf
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.721593210887636e-14	+inf
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.721593210887636e-14	+inf
0.0ms	-inf	-0.00011239735466123322

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.9971143067145977e-15

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03154519659952522	0.09191495727991061

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify34.0ms (0.4%)

Memory

-7.2MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`-commutative-binary64-.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`+-commutative-binary64-+.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1421
1	197	1421
2	209	1421
3	214	1421
4	216	1421

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))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #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 3961408125713217/79228162514264337593543950336 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(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))) (.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))))
(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))) (.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))))
(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 3961408125713217/79228162514264337593543950336 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 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))))
(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 3961408125713217/79228162514264337593543950336 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #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))))
(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 3961408125713217/79228162514264337593543950336 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 #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))))
(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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3961408125713217/79228162514264337593543950336 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 #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))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (.f64 #s(approx ( 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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (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))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (*.f64 #s(literal -2 binary64) 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))) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) im (.f64 #s(literal -2 binary64) im))) (*.f64 (cos.f64 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))) (.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 3961408125713217/79228162514264337593543950336 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 im im)) im (.f64 #s(literal -2 binary64) im)))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(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))) (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 im im) #s(literal -1/3 binary64)) im (.f64 #s(literal -2 binary64) im))) (.f64 (cos.f64 re) #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))))))
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(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))) (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(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 3961408125713217/79228162514264337593543950336 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 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))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -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 3961408125713217/79228162514264337593543950336 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))) #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))))
(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))) (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (cos.f64 re) 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))))
(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 3961408125713217/79228162514264337593543950336 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 #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))))
(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))) (.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(literal 1/2 binary64))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3961408125713217/79228162514264337593543950336 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 #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))))
(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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 3961408125713217/79228162514264337593543950336 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 #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))))
(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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 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 3961408125713217/79228162514264337593543950336 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 #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))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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)) #s(approx (- (exp (neg im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg 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)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)))
(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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im)))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.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 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) (.f64 #s(literal -1/5040 binary64) (.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 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 #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 (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (.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 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx (+ (* -1/5040 (* im im)) -1/120) #s(literal -1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im) im #s(literal -1 binary64)) im))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (.f64 #s(literal -1/3 binary64) im) (.f64 #s(literal -2 binary64) im))) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))))
(if (<=.f64 (cos.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (.f64 #s(approx ( 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 -5764607523034235/288230376151711744 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (.f64 (fma.f64 #s(approx ( (+ (* (+ (* -1/5040 (* im im)) -1/120) (* im im)) -1/6) im) (*.f64 #s(literal -1/6 binary64) im)) im #s(literal -1 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (- (exp (neg im)) (exp im)) (.f64 #s(literal -2 binary64) im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (- (exp (neg im)) (exp im)) 1/2) (neg.f64 im)))

soundness1.6s (16.4%)

Memory

31.1MiB live, 1 327.7MiB allocated

Rules

19 220×	`lower-fma.f64`
19 220×	`lower-fma.f32`
13 510×	`lower-fma.f64`
13 510×	`lower-fma.f32`
12 144×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	4924
1	1096	4709
2	3715	4484
0	8401	4234
0	238	3696
1	689	3414
2	2251	3320
3	5234	3275
0	8178	3106
0	42	245
0	68	238
1	228	238
2	1332	238
0	8489	238
0	47	303
0	71	290
1	246	290
2	1498	290
0	8688	290
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 439 to 755 computations (47.5% saved)

preprocess266.0ms (2.8%)

Memory: 6.1MiB live, 272.7MiB allocated
Remove: (abs re)
Compiler: Compiled 1 886 to 472 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.5s (26.6%)

explain234.0ms (2.5%)

preprocess135.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.4%)

localize101.0ms (1.1%)

series9.0ms (0.1%)

simplify170.0ms (1.8%)

rewrite100.0ms (1.1%)

eval36.0ms (0.4%)

prune324.0ms (3.4%)

simplify203.0ms (2.1%)

localize214.0ms (2.3%)

series29.0ms (0.3%)

simplify166.0ms (1.8%)

rewrite235.0ms (2.5%)

eval161.0ms (1.7%)

prune42.0ms (0.4%)

simplify204.0ms (2.2%)

localize200.0ms (2.1%)

series33.0ms (0.3%)

simplify200.0ms (2.1%)

rewrite235.0ms (2.5%)

eval127.0ms (1.3%)

prune89.0ms (0.9%)

simplify127.0ms (1.3%)

localize208.0ms (2.2%)

series85.0ms (0.9%)

simplify227.0ms (2.4%)

rewrite186.0ms (2%)

eval203.0ms (2.1%)

prune71.0ms (0.7%)

regimes113.0ms (1.2%)

regimes47.0ms (0.5%)

regimes17.0ms (0.2%)

regimes33.0ms (0.3%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes15.0ms (0.2%)

regimes74.0ms (0.8%)

regimes80.0ms (0.8%)

regimes26.0ms (0.3%)

regimes24.0ms (0.3%)

regimes35.0ms (0.4%)

regimes19.0ms (0.2%)

regimes28.0ms (0.3%)

regimes34.0ms (0.4%)

regimes11.0ms (0.1%)

regimes81.0ms (0.9%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify34.0ms (0.4%)

soundness1.6s (16.4%)

preprocess266.0ms (2.8%)

end0.0ms (0%)

Profiling