Metrics for math.sin on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample2.5s (24.2%)

Memory

50.2MiB live, 2 866.1MiB allocated

Samples

876.0ms	1 496×	2	valid
596.0ms	4 242×	0	valid
584.0ms	2 518×	1	valid

Precisions

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

ival-exp: 919.0ms (53.5% of total)

ival-cos: 281.0ms (16.4% of total)

ival-mult: 223.0ms (13% of total)

ival-sub: 147.0ms (8.6% of total)

adjust: 127.0ms (7.4% of total)

exact: 9.0ms (0.5% of total)

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

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

Bogosity

explain300.0ms (2.9%)

Memory

-25.6MiB live, 300.2MiB 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

71.0ms	88×	2	valid
60.0ms	174×	1	valid
22.0ms	250×	0	valid

Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions

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

ival-exp: 89.0ms (67.8% of total)

ival-sub: 14.0ms (10.7% of total)

ival-cos: 11.0ms (8.4% of total)

adjust: 8.0ms (6.1% of total)

ival-mult: 8.0ms (6.1% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess129.0ms (1.2%)

Memory

19.2MiB live, 100.1MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(.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)

simplify42.0ms (0.4%)

Memory

-6.0MiB live, 33.5MiB 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)

localize67.0ms (0.6%)

Memory

-15.9MiB live, 141.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0	(cos.f64 re)
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
accuracy	31.235686621195914	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Samples

24.0ms	87×	1	valid
20.0ms	44×	2	valid
13.0ms	125×	0	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-exp: 23.0ms (56.4% of total)

ival-cos: 7.0ms (17.2% of total)

adjust: 4.0ms (9.8% of total)

ival-mult: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.4% 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

22.6MiB live, 22.6MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (cos re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (cos re) (taylor -inf re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re))))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* -2 im) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* im (- (* -1/3 (pow im 2)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2)) (taylor 0 im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ 1 im) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* 1/2 im)))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (neg im)) (exp im)))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (neg im)) (exp im)) (taylor inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation:binary64>) () ())) ())

Calls

6 calls:

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

simplify197.0ms (1.9%)

Memory

-9.7MiB live, 317.4MiB 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)

rewrite102.0ms (1%)

Memory

6.1MiB live, 205.4MiB 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))) (hypot.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (-.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #s(literal 1 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 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1 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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
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(/.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)) (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(/.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 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1 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 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64)) (+.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 1 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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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))) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)))) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (hypot.f64 (pow.f64 (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (-.f64 (hypot.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (fma.f64 (exp.f64 im) (exp.f64 im) #s(literal 1 binary64))) (+.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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (hypot.f64 (exp.f64 im) (exp.f64 (neg.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 (/.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))) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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 (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (-.f64 (hypot.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #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)

eval42.0ms (0.4%)

Memory: -9.1MiB live, 110.6MiB allocated
Compiler: Compiled 5 867 to 862 computations (85.3% saved)

prune13.0ms (0.1%)

Memory

7.5MiB live, 46.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	281	9	290
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	282	9	291

Accuracy

99.9%

Counts

291 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.3%	(/.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 #s(literal 2 binary64) (cosh.f64 im)))
	4.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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)))))
▶	93.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
▶	90.5%	(.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)))
	84.0%	(.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)))
	39.8%	#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))))
	38.3%	#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)))
▶	84.0%	#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)))
▶	54.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

Compiler

Compiled 280 to 220 computations (21.4% saved)

simplify131.0ms (1.3%)

Memory

0.7MiB live, 243.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (exp.f64 im) #s(literal -2 binary64))
cost-diff	0	(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (.f64 (cos.f64 re) #s(literal 1/2 binary64)))
cost-diff	320	(/.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 #s(literal 2 binary64) (cosh.f64 im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(neg.f64 (cos.f64 re))
cost-diff	0	(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
cost-diff	0	#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)))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(cos.f64 re)
cost-diff	0	(neg.f64 (cos.f64 re))
cost-diff	0	(*.f64 (neg.f64 (cos.f64 re)) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Rules

5 804×	`lower-fma.f32`
5 792×	`lower-fma.f64`
4 730×	`lower-*.f32`
4 708×	`lower-*.f64`
1 236×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	366
0	80	360
1	157	358
2	370	358
3	1006	358
4	2747	358
5	6549	358
0	8573	358

Stop Event

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

Calls

Call 1

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

localize216.0ms (2.1%)

Memory

-10.2MiB live, 544.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.028007519536884032	(pow.f64 (exp.f64 im) #s(literal -2 binary64))
accuracy	0.05859375	(.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)))
accuracy	0.21093750000000003	(/.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 #s(literal 2 binary64) (cosh.f64 im)))
accuracy	31.19547556203112	(-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
accuracy	0	(cos.f64 re)
accuracy	0.00390625	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
accuracy	0.0546875	(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
accuracy	0.4655694828369632	#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)))
accuracy	0.0078125	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	0.0078125	(.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.3562792472228627	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	0	(neg.f64 (cos.f64 re))
accuracy	0	(cos.f64 re)
accuracy	0.0546875	(*.f64 (neg.f64 (cos.f64 re)) im)
accuracy	0.6037499017860104	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
accuracy	0.00390625	(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
accuracy	0.0078125	(.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	0.05859375	(.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	0.2641859228715065	#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

67.0ms	87×	1	valid
59.0ms	119×	1	exit
49.0ms	44×	2	valid
3.0ms	6×	0	valid

Compiler

Compiled 301 to 47 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 34.0ms (24% of total)

adjust: 25.0ms (17.7% of total)

ival-exp: 22.0ms (15.5% of total)

const: 18.0ms (12.7% of total)

ival-pow: 10.0ms (7.1% of total)

ival-add: 9.0ms (6.4% of total)

ival-sub: 6.0ms (4.2% of total)

ival-cos: 6.0ms (4.2% of total)

ival-pow2: 4.0ms (2.8% of total)

ival-div: 3.0ms (2.1% of total)

ival-cosh: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series51.0ms (0.5%)

Memory

-0.4MiB live, 121.0MiB allocated

Counts

20 → 336

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im)) #<representation:binary64>) () ())
#s(alt (.f64 (neg.f64 (cos.f64 re)) im) (patch (.f64 (neg.f64 (cos.f64 re)) im) #<representation:binary64>) () ())
#s(alt (neg.f64 (cos.f64 re)) (patch (neg.f64 (cos.f64 re)) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))) (patch #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))) #<representation:binary64>) () ())
#s(alt (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) (patch (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)) #<representation:binary64>) () ())
#s(alt (/.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 #s(literal 2 binary64) (cosh.f64 im))) (patch (/.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 #s(literal 2 binary64) (cosh.f64 im))) #<representation:binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation:binary64>) () ())
#s(alt (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #<representation:binary64>) () ())
#s(alt (.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 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) 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>) () ())) ())
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#s(alt (/ 1 (pow (exp im) 2)) (taylor -inf im) (#s(alt (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow (exp im) 2)) (taylor -inf im) (#s(alt (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow (exp im) 2)) (taylor -inf im) (#s(alt (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (pow (exp im) 2)) (taylor -inf im) (#s(alt (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (patch (pow.f64 (exp.f64 im) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 7)) (taylor -inf im) (#s(alt (.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 (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 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.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 (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 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) (taylor -inf im) (#s(alt (.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 (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 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6)))))))) (taylor -inf im) (#s(alt (.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 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (patch (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 5)) (taylor -inf im) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* 1/6 (pow im 3)) (taylor -inf im) (#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/6 (/ 1 (pow im 2)))) (taylor -inf im) (#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) #<representation:binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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))) (* (neg (cos re)) (+ (* (pow im 3) 1/6) im)) (/ (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (* 2 (cosh im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/2520 (* im im)) -1/60) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (pow im 3) 1/6) im))
7.0ms	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))) (* (neg (cos re)) (+ (* (pow im 3) 1/6) im)) (/ (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (* 2 (cosh im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/2520 (* im im)) -1/60) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (pow im 3) 1/6) im))
7.0ms	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))) (* (neg (cos re)) (+ (* (pow im 3) 1/6) im)) (/ (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (* 2 (cosh im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/2520 (* im im)) -1/60) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (pow im 3) 1/6) im))
6.0ms	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))) (* (neg (cos re)) (+ (* (pow im 3) 1/6) im)) (/ (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (* 2 (cosh im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/2520 (* im im)) -1/60) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (pow im 3) 1/6) im))
4.0ms	re	@	-inf	((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (cos re) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) im) (neg (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (- (exp (- 0 im)) (exp im)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (neg (cos re)) (+ (* (pow im 3) 1/6) im)) (/ (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (* 2 (cosh im))) (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (- (pow (exp im) -2) (pow (exp im) 2)) (pow (exp im) -2) (* (+ (* (+ (* (+ (* -1/2520 (* im im)) -1/60) (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/2520 (* im im)) -1/60) (* (+ (* (+ (* -1/60 (* im im)) -1/3) (* im im)) -2) im) (+ (* -1/60 (* im im)) -1/3) (+ (* (pow im 3) 1/6) im))

simplify227.0ms (2.2%)

Memory

4.6MiB live, 439.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 292×	`lower-fma.f64`
19 292×	`lower-fma.f32`
6 726×	`lower-+.f64`
6 726×	`lower-+.f32`
6 250×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	4312
1	1085	4045
2	3754	3824
0	8253	3666

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 335

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 (+ im (* 1/6 (pow im 3))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* 1/2 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (+ im (* 1/6 (pow im 3))))) (* 1/2 (+ im (* 1/6 (pow im 3)))))))
(+ (* -1 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* 1/2 (+ im (* 1/6 (pow im 3)))) (* (pow re 2) (+ (* -1/24 (+ im (* 1/6 (pow im 3)))) (* 1/720 (* (pow re 2) (+ im (* 1/6 (pow im 3))))))))))
(* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im)))))
(+ (* -1/4 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))))
(+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))))))
(+ (* 1/2 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/4 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))) (* (pow re 2) (+ (* -1/1440 (/ (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im))))) (* 1/48 (/ (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)) (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)))
(+ (* -1/4 (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)))) (* 1/2 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(+ (* 1/2 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (* (pow re 2) (+ (* -1/4 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (* 1/48 (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)))))))
(+ (* 1/2 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (* (pow re 2) (+ (* -1/4 (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2)))) (* 1/48 (- (/ 1 (pow (exp im) 2)) (pow (exp 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))
(* 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 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp 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))
(* 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 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* -1 (* (cos re) (+ im (* 1/6 (pow im 3)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp 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))
(* -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 (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)) (* 1/4 (* (pow im 2) (- (* -8/3 (cos re)) (* -2 (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -8/15 (cos re)) (+ (* -1/6 (cos re)) (* 1/2 (- (* -8/3 (cos re)) (* -2 (cos re)))))))) (* 1/4 (- (* -8/3 (cos re)) (* -2 (cos re))))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* 1/4 (- (* -8/3 (cos re)) (* -2 (cos re)))) (* (pow im 2) (+ (* 1/4 (* (pow im 2) (- (* -16/315 (cos re)) (+ (* -1/180 (cos re)) (+ (* 1/24 (- (* -8/3 (cos re)) (* -2 (cos re)))) (* 1/2 (- (* -8/15 (cos re)) (+ (* -1/6 (cos re)) (* 1/2 (- (* -8/3 (cos re)) (* -2 (cos re)))))))))))) (* 1/4 (- (* -8/15 (cos re)) (+ (* -1/6 (cos re)) (* 1/2 (- (* -8/3 (cos re)) (* -2 (cos re)))))))))))))
(* -2 (* im (cos re)))
(* im (+ (* -2 (cos re)) (* -4/3 (* (pow im 2) (cos re)))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -4/3 (cos re)) (* -4/15 (* (pow im 2) (cos re)))))))
(* im (+ (* -2 (cos re)) (* (pow im 2) (+ (* -4/3 (cos re)) (* (pow im 2) (+ (* -4/15 (cos re)) (* -8/315 (* (pow im 2) (cos re)))))))))
(* -4 im)
(* im (- (* -8/3 (pow im 2)) 4))
(* im (- (* (pow im 2) (- (* -8/15 (pow im 2)) 8/3)) 4))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -16/315 (pow im 2)) 8/15)) 8/3)) 4))
1
(+ 1 (* -2 im))
(+ 1 (* im (- (* 2 im) 2)))
(+ 1 (* im (- (* im (+ 2 (* -4/3 im))) 2)))
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
im
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* 1/6 (pow im 2))))
(* im (+ 1 (* 1/6 (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))))
(- (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))))
(* -1/6 (* (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))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 2))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/6 (pow im 3))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* (pow im 3) (+ 1/6 (/ 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))))
(- (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))))
(* -1/6 (* (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)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(/ 1 (pow (exp im) 2))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(* -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))))))
(* -1/60 (pow im 5))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* 1/6 (pow im 3))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
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(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(.f64 (.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(.f64 (.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(.f64 (.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 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 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal 1/60 binary64)) im) im)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(.f64 (-.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 im im))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 im im)) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 7 binary64)))
(* -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))
(* -1/60 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal -1 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 2))) 1/60))
(.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 1/3 binary64)) im) im)) (pow.f64 im #s(literal 5 binary64)))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* 1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 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)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.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 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(.f64 (.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))
(* 1/2 (* (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)))
(* -1/6 (* (pow im 3) (cos re)))
(.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (cos.f64 re))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(.f64 (.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(.f64 (.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(.f64 (.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 im im)) #s(literal -1/6 binary64))) (pow.f64 im #s(literal 3 binary64)))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (/ (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))) (+ (exp im) (/ 1 (exp im)))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(* 1/2 (* (cos re) (- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(- (/ 1 (pow (exp im) 2)) (pow (exp im) 2))
(-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(/ 1 (pow (exp im) 2))
(exp.f64 (-.f64 (neg.f64 im) im))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 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 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (.f64 im im))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/60 binary64) (.f64 im im))))) (pow.f64 im #s(literal 7 binary64)))
(* -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))
(* -1/60 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/60 binary64))
(* -1 (* (pow im 5) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (.f64 im im)) #s(literal -1 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 im im)))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow im 2))) (/ 2 (pow im 4))))))
(.f64 (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal 1/3 binary64) (.f64 im im)))) (pow.f64 im #s(literal 5 binary64)))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* 1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(* (pow im 3) (+ 1/6 (/ 1 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)

rewrite222.0ms (2.1%)

Memory

-6.5MiB live, 590.5MiB allocated

Rules

4 632×	`lower-fma.f32`
4 620×	`lower-fma.f64`
4 370×	`lower-*.f32`
4 348×	`lower-*.f64`
4 330×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	264
0	80	258
1	293	250
2	1959	250
0	8641	250

Stop Event

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

Counts

20 → 495

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
(*.f64 (neg.f64 (cos.f64 re)) im)
(neg.f64 (cos.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im))
(/.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 #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 (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)))
(pow.f64 (exp.f64 im) #s(literal -2 binary64))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)
(fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64))
(.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 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) 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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (cos.f64 re)))
(/.f64 (neg.f64 (cos.f64 re)) #s(literal -2 binary64))
(/.f64 (cos.f64 re) #s(literal 2 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) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 im (cos.f64 re))))))
(neg.f64 (*.f64 im (cos.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))))
(*.f64 #s(literal -1 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 re)) (neg.f64 (cos.f64 re))) (.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (cos.f64 re)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (*.f64 #s(literal 0 binary64) (cos.f64 re)))) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64)))))
(neg.f64 (cos.f64 re))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (cos.f64 re))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) (/.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))))
(-.f64 #s(literal 0 binary64) (cos.f64 re))
(+.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re)))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) #s(literal 1/2 binary64)) (cos.f64 re))
(.f64 (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)) #s(literal 1/2 binary64))
(.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (cos.f64 re) (.f64 #s(literal 1/2 binary64) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)) (cos.f64 re)))
#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (neg.f64 (cos.f64 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (neg.f64 im) im)) (neg.f64 (cos.f64 re))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (pow.f64 (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (neg.f64 im) im))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) #s(literal -1 binary64)) (cos.f64 re))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))))
(.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 9 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (.f64 (neg.f64 im) (cos.f64 re)))))))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (neg.f64 (cos.f64 re)))
(*.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(*.f64 (cos.f64 re) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 9 binary64))) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (.f64 im (cos.f64 re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (cos.f64 re)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (cos.f64 re)) (.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (cos.f64 re)) (.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (cos.f64 re))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 im (cos.f64 re)) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 9 binary64)))) (+.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 im) (cos.f64 re)) (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)) (neg.f64 (cos.f64 re)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re)))) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
(/.f64 (neg.f64 (.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))))) (neg.f64 (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (.f64 (neg.f64 im) (cos.f64 re)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 9 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)) (neg.f64 (cos.f64 re))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im)))
(/.f64 (.f64 (neg.f64 (cos.f64 re)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (.f64 (neg.f64 im) (cos.f64 re))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (-.f64 (hypot.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3/2 binary64)) im) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) im) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (/.f64 im im) im (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) im im)
(fma.f64 (.f64 #s(literal 1/6 binary64) im) (.f64 im im) im)
(fma.f64 (+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 im im) #s(literal 0 binary64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) im)
(fma.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) im (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)
(fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im)
(fma.f64 (.f64 im im) (pow.f64 im #s(literal -1 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 im (/.f64 im im) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 im (.f64 (.f64 im im) #s(literal 1/6 binary64)) im)
(fma.f64 im #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 im im) (-.f64 im (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 im (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))) (/.f64 (.f64 im im) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(+.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))

eval156.0ms (1.5%)

Memory: 17.0MiB live, 378.5MiB allocated
Compiler: Compiled 21 239 to 2 442 computations (88.5% saved)

prune47.0ms (0.4%)

Memory

-25.4MiB live, 177.6MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	904	23	927
Fresh	1	3	4
Picked	3	2	5
Done	0	0	0
Total	908	28	936

Accuracy

100.0%

Counts

936 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(/.f64 #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
	90.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))
	4.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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)))))
▶	93.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im))))
	90.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
▶	93.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
✓	90.5%	(.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)))
	61.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	61.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
▶	59.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	38.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)) (neg.f64 (cos.f64 re))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
	24.2%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 9 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (.f64 (neg.f64 im) (cos.f64 re))))))))
	39.8%	#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))))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) im))
▶	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
	38.3%	#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)))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
	84.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
	61.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
	83.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))))
✓	54.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	39.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	38.3%	#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))
	36.6%	#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))
▶	31.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Compiler

Compiled 1 105 to 782 computations (29.2% saved)

simplify131.0ms (1.3%)

Memory

-4.1MiB live, 359.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
cost-diff	64	(-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (cos.f64 re))
cost-diff	13568	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #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)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(neg.f64 im)
cost-diff	0	#s(approx (* (neg (cos re)) im) (neg.f64 im))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
cost-diff	0	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))
cost-diff	0	(cos.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))

Rules

4 044×	`lower-fma.f32`
4 028×	`lower-fma.f64`
3 494×	`lower-*.f32`
3 470×	`lower-*.f64`
1 888×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	488
0	93	462
1	177	462
2	310	447
3	750	447
4	1584	447
5	3035	447
6	5166	447
7	6604	447
0	8166	447

Stop Event

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

Calls

Call 1

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

localize235.0ms (2.3%)

Memory

27.0MiB live, 498.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)
accuracy	0.217128759768442	(pow.f64 (cos.f64 re) #s(literal 2 binary64))
accuracy	0.224941259768442	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re)))
accuracy	28.837642082015247	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
accuracy	0.0703125	(fma.f64 (*.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))
accuracy	0.08203125	(.f64 (.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)) im) im)
accuracy	0.1875	(.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)) im)
accuracy	4.205501259361643	#s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im)))
accuracy	0.05859375	(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
accuracy	0.05859375	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	6.0090164784401425	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	29.789362137527764	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	0	(neg.f64 im)
accuracy	27.200832179970945	#s(approx (* (neg (cos re)) im) (neg.f64 im))
accuracy	28.837642082015247	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
accuracy	0.03515625	(fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64))
accuracy	0.05859375	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
accuracy	0.08203125	(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
accuracy	4.205501259361643	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))

Samples

79.0ms	87×	1	valid
56.0ms	44×	2	valid
50.0ms	125×	0	valid

Compiler

Compiled 367 to 53 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 49.0ms (32.9% of total)

ival-exp: 24.0ms (16.1% of total)

adjust: 20.0ms (13.4% of total)

ival-add: 18.0ms (12.1% of total)

const: 13.0ms (8.7% of total)

ival-cos: 9.0ms (6% of total)

ival-sub: 5.0ms (3.4% of total)

ival-pow2: 4.0ms (2.7% of total)

ival-neg: 4.0ms (2.7% of total)

ival-div: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

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

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

series34.0ms (0.3%)

Memory

-11.8MiB live, 72.5MiB allocated

Counts

26 → 396

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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation:binary64>) () ())
#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation:binary64>) () ())
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) 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 (.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)) im) im) im (.f64 #s(literal -2 binary64) im)))) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) (cos.f64 re)) (patch (+.f64 #s(literal 0 binary64) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (patch (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())
#s(alt (.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)) im) (patch (.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)) im) #<representation:binary64>) () ())
#s(alt (.f64 (.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)) im) im) (patch (.f64 (.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)) im) im) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #<representation:binary64>) () ())
#s(alt (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 re) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) 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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 re) (#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (taylor 0 re) (#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) (taylor 0 re) (#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) (taylor 0 re) (#s(alt #s(approx (* (neg (cos re)) im) (neg.f64 im)) (patch #s(approx (* (neg (cos re)) im) (neg.f64 im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im)))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())) ())
#s(alt (+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im)))))))) (taylor 0 re) (#s(alt (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#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 (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#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 (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#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 (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#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 (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())) ())
#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 (.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)) 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 (.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)) 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 (.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)) 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 (.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)) im) im) im (.f64 #s(literal -2 binary64) im)))) #<representation:binary64>) () ())) ())
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#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 #s(literal -1/2520 binary64) 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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<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 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 5)) (taylor -inf im) (#s(alt (.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)) im) (patch (.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)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.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)) im) (patch (.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)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) (taylor -inf im) (#s(alt (.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)) im) (patch (.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)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) (taylor -inf im) (#s(alt (.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)) im) (patch (.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)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 6)) (taylor -inf im) (#s(alt (.f64 (.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)) im) im) (patch (.f64 (.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)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (.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)) im) im) (patch (.f64 (.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)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#s(alt (.f64 (.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)) im) im) (patch (.f64 (.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)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#s(alt (.f64 (.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)) im) im) (patch (.f64 (.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)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (patch (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) (patch (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im) #<representation:binary64>) () ())) ())

Calls

6 calls:

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

simplify204.0ms (1.9%)

Memory

24.1MiB live, 377.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 914×	`lower-fma.f64`
14 914×	`lower-fma.f32`
6 456×	`lower-+.f64`
6 456×	`lower-+.f32`
4 694×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	3693
1	577	3516
2	1834	3469
3	4036	3411
0	8093	3242

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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))))))))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* -1/4 (pow re 2)))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
-1
(- (* 1/2 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
1
(+ 1 (* -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
(- (pow re 2) 1)
(- (* (pow re 2) (+ 1 (* -1/3 (pow re 2)))) 1)
(- (* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3)))) 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
(+ 1 (* -1 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/3 (pow re 2)) 1)))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1)))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(* 1/2 (* (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)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* -1/4 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/4))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(cos re)
(cos re)
(cos re)
(cos re)
(* -1 (pow (cos re) 2))
(* -1 (pow (cos re) 2))
(* -1 (pow (cos re) 2))
(* -1 (pow (cos 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))))
(pow (cos re) 2)
(pow (cos re) 2)
(pow (cos re) 2)
(pow (cos re) 2)
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(cos re)
(cos re)
(cos re)
(cos re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* -1/4 (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 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(cos re)
(cos re)
(cos re)
(cos re)
(* -1 (pow (cos re) 2))
(* -1 (pow (cos re) 2))
(* -1 (pow (cos re) 2))
(* -1 (pow (cos 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))))
(pow (cos re) 2)
(pow (cos re) 2)
(pow (cos re) 2)
(pow (cos re) 2)
(* -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 (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 (* im (cos re)))
(* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* -1/120 (* (pow im 2) (cos re)))))))
(* im (+ (* -1 (cos re)) (* (pow im 2) (+ (* -1/6 (cos re)) (* (pow im 2) (+ (* -1/120 (cos re)) (* -1/5040 (* (pow im 2) (cos re)))))))))
(* -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)))))))))
-1/60
(- (* -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 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
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(* -1/3 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* im (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* im (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(* -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 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 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))))
(* -1/2520 (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))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 5))
(* -1 (* (pow im 5) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -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 (* 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 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(* 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))))
(* -1/2520 (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))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1/2520 (pow im 5))
(* -1 (* (pow im 5) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -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 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))

Outputs
(* 1/2 (- (exp (neg im)) (exp im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow re 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal -1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64))) (.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* 1/2 (- (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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(* 1/2 (- (exp (neg im)) (exp im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (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
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -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
#s(literal -1 binary64)
(- (pow re 2) 1)
(fma.f64 re re #s(literal -1 binary64))
(- (* (pow re 2) (+ 1 (* -1/3 (pow re 2)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/3 binary64) (fma.f64 re re #s(literal -1 binary64)))
(- (* (pow re 2) (+ 1 (* (pow re 2) (- (* 2/45 (pow re 2)) 1/3)))) 1)
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 re re) #s(literal -1/3 binary64)) (fma.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
#s(literal 1 binary64)
(+ 1 (* -1 (pow re 2)))
(-.f64 #s(literal 1 binary64) (*.f64 re re))
(+ 1 (* (pow re 2) (- (* 1/3 (pow re 2)) 1)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 re re) #s(literal -1 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/3 (* -2/45 (pow re 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 re re) #s(literal 1/3 binary64)) (.f64 re re) #s(literal -1 binary64)) (*.f64 re re) #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(fma.f64 (.f64 (.f64 im (fma.f64 #s(literal -1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) re) re (neg.f64 im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(* 1/2 (cos re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(cos re)
(cos.f64 re)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
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(.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 im im))) im) im) #s(literal 1/2520 binary64)) (pow.f64 im #s(literal 4 binary64)))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1/2520 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 5) (+ 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 5 binary64)))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 im im)) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 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 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.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 im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.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)))
(* -1/2520 (pow im 2))
(.f64 #s(literal -1/2520 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(fma.f64 (*.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)

rewrite234.0ms (2.2%)

Memory

0.8MiB live, 445.9MiB allocated

Rules

5 316×	`lower-fma.f32`
5 300×	`lower-fma.f64`
4 616×	`lower-*.f32`
4 592×	`lower-*.f64`
3 626×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	350
0	93	326
1	353	311
2	2154	311
0	9009	311

Stop Event

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

Counts

26 → 1 028

Calls

Call 1

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

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

eval602.0ms (5.8%)

Memory: -211.9MiB live, 612.4MiB allocated
Compiler: Compiled 48 474 to 6 191 computations (87.2% saved)

prune73.0ms (0.7%)

Memory

-6.5MiB live, 236.7MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 933	25	1 958
Fresh	16	5	21
Picked	3	2	5
Done	1	1	2
Total	1 953	33	1 986

Accuracy

100.0%

Counts

1 986 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(/.f64 #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
	4.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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)))))
▶	90.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
✓	93.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	61.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	39.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	61.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	56.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
▶	59.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	47.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
	60.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
▶	54.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))))
	54.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 im (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))))
	54.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
	38.3%	#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)))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 im (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
	90.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
▶	84.0%	#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))))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 im (cos.f64 re))))
	84.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
✓	54.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	39.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	38.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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))
▶	36.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	33.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
	33.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
✓	31.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	38.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))

Compiler

Compiled 1 072 to 810 computations (24.4% saved)

simplify142.0ms (1.4%)

Memory

13.1MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (cos.f64 re))
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))))
cost-diff	1664	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))
cost-diff	6080	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))
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	(*.f64 re re)
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)
cost-diff	0	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
cost-diff	320	(fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))

Rules

5 090×	`lower-fma.f32`
5 078×	`lower-fma.f64`
3 640×	`lower-*.f32`
3 612×	`lower-*.f64`
2 570×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	510
0	96	491
1	178	485
2	345	462
3	783	462
4	1526	462
5	2922	462
6	4839	462
7	7366	462
0	8670	447

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

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

localize236.0ms (2.3%)

Memory

-10.6MiB live, 394.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(/.f64 #s(literal -1 binary64) (cos.f64 re))
accuracy	0.15234375	(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))
accuracy	28.837642082015247	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))))
accuracy	0.07421875	(.f64 (.f64 (cos.f64 re) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))
accuracy	0.08984375	(*.f64 (cos.f64 re) im)
accuracy	0.109375	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))
accuracy	10.16299243636536	#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	0.11328125	(.f64 #s(literal -1/60 binary64) (.f64 im im))
accuracy	6.0090164784401425	#s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im))
accuracy	29.789362137527764	#s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
accuracy	32.667843306703595	#s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im)))
accuracy	0	(*.f64 re re)
accuracy	0.08984375	(.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)
accuracy	28.837642082015247	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
accuracy	29.78939614113191	#s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
accuracy	0.08203125	(.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) im)
accuracy	0.1875	(.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im)
accuracy	4.205501259361643	#s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im)))
accuracy	29.06032936480664	#s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64))

Samples

80.0ms	87×	1	valid
61.0ms	44×	2	valid
51.0ms	125×	0	valid

Compiler

Compiled 333 to 54 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 42.0ms (27.6% of total)

ival-cos: 22.0ms (14.5% of total)

ival-exp: 19.0ms (12.5% of total)

ival-add: 18.0ms (11.8% of total)

const: 16.0ms (10.5% of total)

adjust: 15.0ms (9.9% of total)

ival-div: 8.0ms (5.3% of total)

ival-sub: 5.0ms (3.3% of total)

ival-pow2: 4.0ms (2.6% of total)

ival-pow: 3.0ms (2% of total)

exact: 1.0ms (0.7% of total)

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

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

series47.0ms (0.5%)

Memory

7.6MiB live, 82.7MiB allocated

Counts

27 → 444

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im)) (patch (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) (patch (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) #<representation:binary64>) () ())
#s(alt #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) (patch #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (cos re)) (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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im))) (patch (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im))) #<representation:binary64>) () ())
#s(alt #s(approx (* 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (patch #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) 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 (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) #<representation:binary64>) () ())
#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 re)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 re)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (patch #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) (patch (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) (patch (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (patch #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) #<representation:binary64>) () ())
#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())
#s(alt (.f64 #s(literal -1/60 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/60 binary64) (.f64 im im)) #<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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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))) (* (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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im)))) #<representation:binary64>) () ())) ())
#s(alt 1/2 (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/4 (pow re 2))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow re 2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* 1/24 (pow re 2)) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/24 (* -1/720 (pow re 2)))) 1/2))) (taylor 0 re) (#s(alt (cos.f64 re) (patch (cos.f64 re) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (- (exp (neg im)) (exp im))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #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))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #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))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #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))) (* (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(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) (patch #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im)) #<representation:binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 re) (#s(alt (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) (patch (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (taylor 0 re) (#s(alt (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) (patch (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im)))) (taylor 0 re) (#s(alt (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) (patch (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2)))))))) (taylor 0 re) (#s(alt (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) (patch (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im) #<representation:binary64>) () ())) ())
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#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* im (cos re))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im)))) (taylor -inf im) (#s(alt #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) (patch #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 2)) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (patch #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (patch #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (patch #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (patch #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) (patch #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 5)) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) (patch (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) (patch (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) (patch (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2))))))) (taylor -inf im) (#s(alt (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) (patch (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) #<representation:binary64>) () ())) ())
#s(alt (* -1/2520 (pow im 6)) (taylor -inf im) (#s(alt (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) (patch (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) (patch (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#s(alt (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) (patch (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520)) (taylor -inf im) (#s(alt (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) (patch (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) im) im) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (patch #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (patch #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (patch #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (patch #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (- (exp (* -1 im)) (exp im)) (taylor -inf im) (#s(alt #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im)) (patch #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/60 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/60 binary64) (.f64 im im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/60 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/60 binary64) (.f64 im im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/60 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/60 binary64) (.f64 im im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/60 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/60 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/60 binary64) (.f64 im im)) #<representation:binary64>) () ())) ())
#s(alt (* -1/6 (* (pow im 3) (cos re))) (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>) () ())) ())
#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
7.0ms	re	@	0	((+ (* (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -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))) (* (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) im) (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (* (/ -1 (cos re)) (pow im -1)) (/ 1 (* (/ -1 (cos re)) (pow im -1))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/ -1 (cos re)) (+ (* (* im im) -1/2520) -1/60) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (* -1/60 (* im im)) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
6.0ms	im	@	0	((+ (* (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -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))) (* (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) im) (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (* (/ -1 (cos re)) (pow im -1)) (/ 1 (* (/ -1 (cos re)) (pow im -1))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/ -1 (cos re)) (+ (* (* im im) -1/2520) -1/60) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (* -1/60 (* im im)) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
4.0ms	re	@	inf	((+ (* (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -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))) (* (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) im) (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (* (/ -1 (cos re)) (pow im -1)) (/ 1 (* (/ -1 (cos re)) (pow im -1))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/ -1 (cos re)) (+ (* (* im im) -1/2520) -1/60) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (* -1/60 (* im im)) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
3.0ms	im	@	inf	((+ (* (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -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))) (* (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) im) (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (* (/ -1 (cos re)) (pow im -1)) (/ 1 (* (/ -1 (cos re)) (pow im -1))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/ -1 (cos re)) (+ (* (* im im) -1/2520) -1/60) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (* -1/60 (* im im)) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))
3.0ms	re	@	-inf	((+ (* (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -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))) (* (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) im) (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (+ (* (* re re) 1/2) -1) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ (* (* re re) -1/4) 1/2) (* re re) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) im) (+ (* (* im im) -1/6) -1) (* (/ -1 (cos re)) (pow im -1)) (/ 1 (* (/ -1 (cos re)) (pow im -1))) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/ -1 (cos re)) (+ (* (* im im) -1/2520) -1/60) (- (exp (- 0 im)) (exp im)) (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) (* (* (+ (* (+ (* (* im im) -1/2520) -1/60) (* im im)) -1/3) im) im) (+ (* -1/60 (* im im)) -1/3) (- (exp (- 0 im)) (exp im)) (* -1/60 (* im im)) (* (* (cos re) im) (+ (* (* im im) -1/6) -1)))

simplify217.0ms (2.1%)

Memory

23.0MiB live, 300.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 242×	`lower-fma.f64`
16 242×	`lower-fma.f32`
6 238×	`lower-*.f64`
6 238×	`lower-*.f32`
4 114×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	4259
1	809	4061
2	2689	3952
3	5867	3948
0	8349	3772

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 443

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
(- (* 1/2 (pow re 2)) 1)
(- (* 1/2 (pow re 2)) 1)
(- (* 1/2 (pow re 2)) 1)
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
1/2
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* -1/4 (pow re 2)))
(+ 1/2 (* -1/4 (pow re 2)))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
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))))))
(/ -1 im)
(- (* -1/2 (/ (pow re 2) im)) (/ 1 im))
(- (* (pow re 2) (- (* -5/24 (/ (pow re 2) im)) (* 1/2 (/ 1 im)))) (/ 1 im))
(- (* (pow re 2) (- (* (pow re 2) (- (* -61/720 (/ (pow re 2) im)) (* 5/24 (/ 1 im)))) (* 1/2 (/ 1 im)))) (/ 1 im))
(* -1 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(* 1/2 (- (exp (neg im)) (exp im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
-1
(- (* -1/2 (pow re 2)) 1)
(- (* (pow re 2) (- (* -5/24 (pow re 2)) 1/2)) 1)
(- (* (pow re 2) (- (* (pow re 2) (- (* -61/720 (pow re 2)) 5/24)) 1/2)) 1)
(* 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 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* -1/4 (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))))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(/ -1 (cos re))
(/ -1 (cos re))
(/ -1 (cos re))
(/ -1 (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 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(* -1 (cos re))
(* 1/2 (pow re 2))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* (pow re 2) (- 1/2 (/ 1 (pow re 2))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* 1/2 (cos re))
(* -1/4 (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))))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(* im (cos re))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(/ -1 (cos re))
(/ -1 (cos re))
(/ -1 (cos re))
(/ -1 (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 (- (* (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)))
(* 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)))))))))
(* -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)
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (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)))))))))
-1/60
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(- (* -1/2520 (pow im 2)) 1/60)
(* -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 im)
(* im (- (* -1/60 (pow im 2)) 1/3))
(* im (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* im (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* -1/3 (pow im 2))
(* (pow im 2) (- (* -1/60 (pow im 2)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
(* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3))
-1/3
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(- (* -1/60 (pow im 2)) 1/3)
(* -2 im)
(* im (- (* -1/3 (pow im 2)) 2))
(* im (- (* (pow im 2) (- (* -1/60 (pow im 2)) 1/3)) 2))
(* im (- (* (pow im 2) (- (* (pow im 2) (- (* -1/2520 (pow im 2)) 1/60)) 1/3)) 2))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -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)))))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow im 2)))) (pow im 4))) (+ 1/2520 (* 1/60 (/ 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 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (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)))))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* -1 (* im (cos re)))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* 1/2 (* (cos re) (- (exp (neg im)) (exp im))))
(* -1/2520 (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))))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/2520 (pow im 5))
(* -1 (* (pow im 5) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(- (exp (neg im)) (exp im))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -1/60 (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))))
(* -1/2520 (pow im 7))
(* -1 (* (pow im 7) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 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))))
(* 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))))
(* 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)))))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(/ -1 (* im (cos re)))
(* -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))))
(* -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))))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/2520 (pow im 5))
(* -1 (* (pow im 5) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(* -1/2520 (pow im 6))
(* -1 (* (pow im 6) (+ 1/2520 (* 1/60 (/ 1 (pow im 2))))))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(* -1/60 (pow im 2))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(- (exp (* -1 im)) (exp im))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -1/60 (pow im 2))
(* -1/60 (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)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
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)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(neg.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* -1/24 (pow re 2)))) 1)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))
(- (* (pow re 2) (+ 1/2 (* (pow re 2) (- (* 1/720 (pow re 2)) 1/24)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 1/2 (pow re 2)) 1)
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* 1/2 (- (exp (neg im)) (exp im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/48 (pow re 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/48 (* -1/1440 (pow re 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/4 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(* 1/2 (- (exp (neg im)) (exp im)))
(fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+ (* -1/4 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/2 (- (exp (neg im)) (exp im))))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* 1/48 (* (pow re 2) (- (exp (neg im)) (exp im)))))))
(fma.f64 (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/48 binary64) (.f64 re re) #s(literal -1/4 binary64))) (*.f64 re re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+ (* 1/2 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/4 (- (exp (neg im)) (exp im))) (* (pow re 2) (+ (* -1/1440 (* (pow re 2) (- (exp (neg im)) (exp im)))) (* 1/48 (- (exp (neg im)) (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
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))
(/ -1 im)
(/.f64 #s(literal -1 binary64) im)
(- (* -1/2 (/ (pow re 2) im)) (/ 1 im))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im))
(- (* (pow re 2) (- (* -5/24 (/ (pow re 2) im)) (* 1/2 (/ 1 im)))) (/ 1 im))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -5/24 binary64) re) (/.f64 re im) (/.f64 #s(literal -1/2 binary64) im)) re) re (/.f64 #s(literal -1 binary64) im))
(- (* (pow re 2) (- (* (pow re 2) (- (* -61/720 (/ (pow re 2) im)) (* 5/24 (/ 1 im)))) (* 1/2 (/ 1 im)))) (/ 1 im))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -61/720 binary64) re) (/.f64 re im) (/.f64 #s(literal -5/24 binary64) im)) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) im)) re) re (/.f64 #s(literal -1 binary64) im))
(* -1 im)
(neg.f64 im)
(+ (* -1 im) (* 1/2 (* im (pow re 2))))
(.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(+ (* -1 im) (* (pow re 2) (+ (* -1/24 (* im (pow re 2))) (* 1/2 im))))
(neg.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal -1/2 binary64))) (*.f64 re re) im))
(+ (* -1 im) (* (pow re 2) (+ (* 1/2 im) (* (pow re 2) (+ (* -1/24 im) (* 1/720 (* im (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 im (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64))) (.f64 im (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(* 1/2 (- (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))))
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(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 5) (+ 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 5 binary64)))
(* (pow im 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 5 binary64)) (-.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 im 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 5 binary64)) (-.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)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 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 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.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 im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.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)))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (neg im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/6 (* (pow im 3) (cos re)))
(.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (cos.f64 re))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* (pow im 3) (+ (* -1 (/ (cos re) (pow im 2))) (* -1/6 (cos re))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* -1/2520 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 7) (+ 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 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/60 binary64) (.f64 im im)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (+ (* 1/60 (/ 1 (pow im 2))) (* 2 (/ 1 (pow im 6))))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/60 binary64) (.f64 im im)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 7 binary64)))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 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))
(/ -1 (* im (cos re)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))
(/ -1 (* im (cos re)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))
(/ -1 (* im (cos re)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))
(/ -1 (* im (cos re)))
(/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* -1 (* im (cos re)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* 1/2 (* (cos re) (- (exp (* -1 im)) (exp im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(* -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))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/2520 (pow im 5))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 5) (+ 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 5 binary64)))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/60 binary64) (.f64 im im)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1 (* (pow im 5) (+ 1/2520 (+ (/ 1/3 (pow im 4)) (* 1/60 (/ 1 (pow im 2)))))))
(.f64 (-.f64 (/.f64 #s(literal -1/60 binary64) (.f64 im im)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/2520 binary64))) (pow.f64 im #s(literal 5 binary64)))
(* -1/2520 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/2520 binary64))
(* -1 (* (pow im 6) (+ 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 6 binary64)))
(* (pow im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.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 im 6) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow im 2)))) (pow im 2))) 1/2520))
(.f64 (pow.f64 im #s(literal 6 binary64)) (-.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)))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(* -1 (* (pow im 2) (+ 1/60 (* 1/3 (/ 1 (pow im 2))))))
(fma.f64 #s(literal -1/60 binary64) (*.f64 im im) #s(literal -1/3 binary64))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(- (exp (* -1 im)) (exp im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -1/60 (pow im 2))
(.f64 #s(literal -1/60 binary64) (.f64 im im))
(* -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 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(* -1 (* (pow im 3) (+ (* 1/6 (cos re)) (/ (cos re) (pow im 2)))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))

rewrite261.0ms (2.5%)

Memory

4.2MiB live, 355.8MiB allocated

Rules

4 870×	`lower-*.f32`
4 842×	`lower-*.f64`
4 628×	`lower-fma.f32`
4 616×	`lower-fma.f64`
3 618×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	412
0	96	393
1	359	366
2	2473	366
0	9138	354

Stop Event

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

Counts

27 → 730

Calls

Call 1

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

eval324.0ms (3.1%)

Memory: 16.7MiB live, 533.0MiB allocated
Compiler: Compiled 31 773 to 4 183 computations (86.8% saved)

prune79.0ms (0.8%)

Memory

-4.9MiB live, 239.6MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	1 477	18	1 495
Fresh	4	21	25
Picked	2	3	5
Done	0	3	3
Total	1 483	45	1 528

Accuracy

100.0%

Counts

1 528 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.6%	(/.f64 #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
	4.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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)))))
✓	90.5%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
✓	93.3%	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	61.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.7%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	60.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	59.7%	(.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)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
	39.8%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (*.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	61.6%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	56.3%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
	59.5%	(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
	47.6%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	12.7%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
	58.9%	(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
	60.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
	59.1%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
	60.0%	(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
	54.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (/.f64 (neg.f64 (cos.f64 re)) (pow.f64 im #s(literal -1/2 binary64))) (pow.f64 im #s(literal -1/2 binary64))))
	54.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
	54.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) im) (cos.f64 re))))
	54.7%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
	29.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
	31.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
	54.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
	42.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))) (/.f64 (sqrt.f64 (cos.f64 re)) #s(literal -1 binary64))))
	38.3%	#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)))
	90.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
✓	84.0%	#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))))
	57.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
	56.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
	54.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) im) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
	54.8%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 im (cos.f64 re))))
	84.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
✓	54.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
	39.5%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
	38.3%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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))
✓	36.6%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
	10.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
	33.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
	33.0%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
✓	31.9%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
	38.1%	#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))

Compiler

Compiled 2 124 to 927 computations (56.4% saved)

regimes143.0ms (1.4%)

Memory

-32.0MiB live, 222.5MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 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))))
(.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 (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 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 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 (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (/.f64 (neg.f64 (cos.f64 re)) (pow.f64 im #s(literal -1/2 binary64))) (pow.f64 im #s(literal -1/2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (cos.f64 re)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)) (neg.f64 (cos.f64 re))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 re)) (pow.f64 im #s(literal -1 binary64))) (/.f64 (sqrt.f64 (cos.f64 re)) #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (pow.f64 (cos.f64 re) #s(literal -1 binary64)) (/.f64 im (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))))
(/.f64 #s(approx (* (- (pow (exp im) -2) (pow (exp im) 2)) (* (cos re) 1/2)) (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (log.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (/.f64 im (pow.f64 (cos.f64 re) #s(literal 2 binary64))) (neg.f64 (cos.f64 re))) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 re) (cos.f64 re) (.f64 #s(literal 0 binary64) (cos.f64 re))))) im))
(/.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 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.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)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (pow.f64 (.f64 (neg.f64 (cos.f64 re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 9 binary64)) (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (neg.f64 im) (cos.f64 re)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (neg.f64 (cos.f64 re))) (.f64 (neg.f64 im) (cos.f64 re))))))))

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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (*.f64 im im) #s(literal -1/60 binary64)) (*.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Calls

6 calls:

28.0ms	(cos.f64 re)
27.0ms	re
25.0ms	im
23.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
18.0ms	(.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
93.3%	1	`re`
99.9%	2	`im`
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
93.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
93.3%	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)

regimes78.0ms (0.7%)

Memory

-0.9MiB live, 73.1MiB allocated

Counts

61 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 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))))
(.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 (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 (/.f64 #s(literal -1 binary64) (cos.f64 re)) (pow.f64 im #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 re re))))) (+.f64 #s(literal 0 binary64) (cos.f64 re))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (neg.f64 (.f64 im im)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))

Outputs

#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 #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

3 calls:

43.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
16.0ms	im
15.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
98.3%	3	`im`
93.3%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 20 to 20 computations (0% saved)

regimes14.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im)))))

Outputs

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

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

Calls

1 calls:

11.0ms

(*.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
98.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes120.0ms (1.1%)

Memory

-5.2MiB live, 112.8MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) 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)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.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)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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)))

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)))

Calls

5 calls:

41.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
34.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
14.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
14.0ms	im
13.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
93.3%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
93.3%	1	`(cos.f64 re)`
93.3%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
93.3%	1	`im`
93.3%	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 26 to 28 computations (-7.7% saved)

regimes91.0ms (0.9%)

Memory

7.8MiB live, 155.5MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) 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 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))

Outputs

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

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

Calls

6 calls:

17.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
17.0ms	re
15.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
13.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
13.0ms	im

Results

Accuracy	Segments	Branch
90.5%	1	`re`
94.5%	3	`im`
93.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
90.5%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
90.5%	1	`(cos.f64 re)`
90.5%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

-5.5MiB live, 31.5MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (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:

12.0ms

(*.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
93.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes26.0ms (0.2%)

Memory

9.6MiB live, 46.6MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (*.f64 im #s(literal 1/6 binary64)) im)))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))))

Outputs

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

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

Calls

2 calls:

14.0ms	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
92.8%	3	`im`
94.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes26.0ms (0.3%)

Memory

-31.5MiB live, 18.9MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (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 im (/.f64 #s(literal -1 binary64) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 (cos.f64 re) (/.f64 #s(literal -1 binary64) im)))

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
94.3%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes11.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (neg.f64 (cos.f64 re)) im))

Outputs

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

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

(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 re re) #s(literal 1/48 binary64)) (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (*.f64 (fma.f64 (fma.f64 (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:

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
94.1%	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)

regimes101.0ms (1%)

Memory

7.0MiB live, 200.1MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (*.f64 im im)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (/.f64 #s(literal -1 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (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 (* (neg (cos re)) im) (/.f64 #s(literal 1 binary64) (/.f64 im (neg.f64 (*.f64 im im))))))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/3 binary64) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal -1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal -1 binary64))) im))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #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(approx (+ (* -1/60 (* im im)) -1/3) (.f64 (.f64 #s(literal -1/60 binary64) im) im)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ -1 (cos re)) (pow im -1)) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re im) (/.f64 #s(literal -1 binary64) im)))))
(.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (*.f64 #s(literal -2 binary64) im))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ ( (* im im) -1/2520) -1/60) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) #s(literal 1/4 binary64)) re) re))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ (* -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))
(.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2520 binary64) im) im #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))

Outputs

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

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

Calls

6 calls:

37.0ms	(cos.f64 re)
16.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
13.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
12.0ms	re
11.0ms	im

Results

Accuracy	Segments	Branch
64.5%	2	`im`
64.5%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
63.7%	2	`re`
71.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
71.7%	2	`(cos.f64 re)`
71.8%	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)

regimes46.0ms (0.4%)

Memory

-10.5MiB live, 66.1MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

28.0ms	(*.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)))
8.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
71.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
71.3%	2	`(cos.f64 re)`
71.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes29.0ms (0.3%)

Memory

2.2MiB live, 42.3MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms	(cos.f64 re)
6.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
70.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
70.7%	2	`(cos.f64 re)`
70.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
70.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes21.0ms (0.2%)

Memory

-0.1MiB live, 37.4MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.7%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.7%	2	`(cos.f64 re)`
69.8%	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)

regimes7.0ms (0.1%)

Memory

-21.4MiB live, 15.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

6.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes16.0ms (0.2%)

Memory

-2.3MiB live, 36.5MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes12.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.2%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
69.2%	2	`(cos.f64 re)`
69.2%	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)

regimes15.0ms (0.1%)

Memory

-23.2MiB live, 21.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms	(cos.f64 re)
4.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
66.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
66.6%	2	`(cos.f64 re)`
66.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes23.0ms (0.2%)

Memory

3.2MiB live, 41.3MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
54.6%	1	`re`
54.6%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
57.8%	3	`im`
62.3%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
62.3%	2	`(cos.f64 re)`
62.3%	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 27 to 30 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

2.0ms	im
2.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms	(cos.f64 re)
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
46.2%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
36.6%	1	`re`
48.5%	3	`im`
42.8%	3	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
42.8%	3	`(cos.f64 re)`
53.8%	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)

regimes12.0ms (0.1%)

Memory

-11.5MiB live, 26.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

2.0ms	im
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)))
2.0ms	(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
39.6%	2	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
39.6%	2	`(cos.f64 re)`
39.1%	2	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
39.1%	2	`im`
39.6%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes10.0ms (0.1%)

Memory

-13.7MiB live, 24.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	im
1.0ms	re
1.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
1.0ms	(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms	(cos.f64 re)

Results

Accuracy	Segments	Branch
31.9%	1	`re`
31.9%	1	`(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
31.9%	1	`im`
31.9%	1	`(*.f64 #s(literal 1/2 binary64) (cos.f64 re))`
31.9%	1	`(cos.f64 re)`
31.9%	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

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.17274830173326206	-0.060324454108814596

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08637415086663103	-0.029867468912357652

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-0.08637415086663103

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.586871812400406e-7	+inf

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.586871812400406e-7	+inf

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.586871812400406e-7	+inf
0.0ms	-0.08637415086663103	-0.029867468912357652

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.586871812400406e-7	+inf
0.0ms	-0.08637415086663103	-0.029867468912357652

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.586871812400406e-7	+inf
0.0ms	-0.08637415086663103	-0.029867468912357652

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	0.0	2.992667972178244e-10

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	2.992667972178244e-10

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	0.0	2.992667972178244e-10

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	0.0	2.992667972178244e-10

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	0.0	2.992667972178244e-10

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	2.992667972178244e-10

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	0.0	2.992667972178244e-10

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	0.0	2.992667972178244e-10

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.992667972178244e-10

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	2.992667972178244e-10

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.992667972178244e-10
0.0ms	-0.08637415086663103	-0.029867468912357652

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.992667972178244e-10

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify47.0ms (0.5%)

Memory

-13.5MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`-commutative-binary64-.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`
18×	`+-commutative-binary64-+.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1852
1	237	1852
2	259	1852
3	273	1852
4	279	1852
5	280	1852

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/36028797018963968 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)) (.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 -3602879701896397/72057594037927936 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 #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))) #s(approx (* (neg (cos re)) im) (log.f64 (exp.f64 (neg.f64 im))))) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #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 4722366482869645/4722366482869645213696 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(approx (- (exp (- 0 im)) (exp im)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) im) im) im (.f64 #s(literal -2 binary64) im)))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(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 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 (cos.f64 re) (fma.f64 (.f64 im im) (fma.f64 #s(literal -1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) #s(literal -1 binary64))) im)) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) (fma.f64 (.f64 im im) (.f64 im #s(literal 1/6 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 4722366482869645/4722366482869645213696 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 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(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 -3602879701896397/72057594037927936 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (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 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (neg.f64 (cos.f64 re)) im)) (.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 re re) #s(literal 1/48 binary64)) (.f64 re re) #s(literal -1/4 binary64)) (.f64 re re) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (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) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (cos re)) (fma.f64 (.f64 re re) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2520 binary64) (.f64 im im) #s(literal -1/60 binary64)) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) (.f64 #s(approx (* 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) (.f64 (.f64 re re) #s(literal -1/4 binary64)))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (*.f64 im im) #s(literal -2 binary64)) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (neg (cos re)) (fma.f64 (fma.f64 (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 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(literal 1/2 binary64)) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 (fma.f64 #s(literal -1/60 binary64) (.f64 im im) #s(literal -1/3 binary64)) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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 (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (.f64 im im)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

Outputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/36028797018963968 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)) (.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))))
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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 0 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)) #s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) (fma.f64 #s(literal -1/2 binary64) (.f64 re re) #s(literal 1 binary64))) im) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal -1 binary64)))))
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(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) (.f64 #s(approx ( 1/2 (cos re)) #s(approx (+ (* (* re re) -1/4) 1/2) #s(literal 1/2 binary64))) #s(approx (- (exp (- 0 im)) (exp im)) (.f64 (fma.f64 #s(approx (+ ( -1/60 (* im im)) -1/3) (.f64 #s(literal -1/60 binary64) (.f64 im im))) (.f64 im im) #s(literal -2 binary64)) im))) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) 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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 (.f64 #s(approx (cos re) #s(literal 1 binary64)) 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 (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (neg.f64 (.f64 im im)) im))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))))
(if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (/.f64 (.f64 (neg.f64 im) im) im))) (if (<=.f64 (.f64 (.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 0 binary64)) #s(approx ( (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) 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 0 binary64)) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im))) #s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (.f64 #s(approx (/ (- 0 (pow (cos re) 2)) (+ 0 (cos re))) #s(approx (+ ( (* re re) 1/2) -1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (neg (cos re)) im) (neg.f64 im)))

soundness1.9s (18.4%)

Memory

3.0MiB live, 1 655.7MiB allocated

Rules

19 292×	`lower-fma.f64`
19 292×	`lower-fma.f32`
19 220×	`lower-fma.f64`
19 220×	`lower-fma.f32`
16 242×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	264
0	80	258
1	293	250
2	1959	250
0	8641	250
0	213	3693
1	577	3516
2	1834	3469
3	4036	3411
0	8093	3242
0	54	350
0	93	326
1	353	311
2	2154	311
0	9009	311
0	289	4259
1	809	4061
2	2689	3952
3	5867	3948
0	8349	3772
0	367	4312
1	1085	4045
2	3754	3824
0	8253	3666
0	126	650
1	321	616
2	909	610
3	2943	589
4	6409	589
0	8371	556

Stop Event

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

Compiler

Compiled 2 176 to 961 computations (55.8% saved)

preprocess329.0ms (3.2%)

Memory: 18.3MiB live, 536.9MiB allocated
Remove: (abs re)
Compiler: Compiled 3 024 to 680 computations (77.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated