Metrics for math.sin on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.4s (14.9%)

Memory

28.5MiB live, 1 478.1MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 814.0ms

ival-sin: 313.0ms (38.4% of total)

ival-mult: 159.0ms (19.5% of total)

ival-exp: 156.0ms (19.2% of total)

ival-sub: 100.0ms (12.3% of total)

ival-add: 67.0ms (8.2% of total)

exact: 9.0ms (1.1% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain188.0ms (2.1%)

Memory

-46.8MiB live, 182.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

79.0ms

512×

valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

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

ival-sub: 17.0ms (36.9% of total)

ival-sin: 12.0ms (26% of total)

ival-exp: 7.0ms (15.2% of total)

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

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

exact: 1.0ms (2.2% of total)

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

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

preprocess111.0ms (1.2%)

Memory

16.6MiB live, 52.3MiB allocated

Algorithm

1×	egg-herbie

Rules

528×	`times-frac`
436×	`distribute-lft-neg-in`
340×	`unsub-neg`
330×	`cancel-sign-sub-inv`
308×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	61
1	94	55
2	358	55
3	877	55
4	1685	55
5	2296	55
6	2644	55
7	2937	55
8	3185	55
9	3261	55
10	3263	55
11	3263	55
12	3295	55
13	3300	55
14	3300	55
0	11	12
0	18	11
1	34	11
2	76	11
3	113	11
4	139	11
5	163	11
6	182	11
7	182	11
8	184	11
9	189	11
10	189	11
0	189	11

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify15.0ms (0.2%)

Memory

-19.8MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
cost-diff	64	(-.f64 #s(literal 0 binary64) im)

Rules

124×	`lower-*.f32`
120×	`lower-*.f64`
76×	`lower-fma.f64`
76×	`lower-fma.f32`
48×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.4%)

Memory

34.6MiB live, 70.9MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

26.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 6.0ms (34.4% of total)

ival-mult: 5.0ms (28.7% of total)

ival-exp: 3.0ms (17.2% of total)

ival-sub: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

-15.9MiB live, 31.6MiB allocated

Counts

7 → 96

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

Outputs
#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) (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 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 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) (taylor 0 re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) (taylor 0 im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt 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 (+ 2 (pow im 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 (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 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 (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 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 (+ (exp im) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (* -1 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) (exp (* -1 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) (exp (* -1 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) (exp (* -1 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 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 (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 (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 (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 im)) (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (- (* 1/2 im) 1))) (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	(* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))
1.0ms	im	@	inf	(* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))
1.0ms	re	@	inf	(* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))
1.0ms	im	@	-inf	(* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))
1.0ms	im	@	0	(* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify290.0ms (3.2%)

Memory

22.4MiB live, 368.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 460×	`lower-fma.f64`
18 460×	`lower-fma.f32`
4 918×	`lower-*.f64`
4 918×	`lower-*.f32`
3 014×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	701
1	419	669
2	1287	653
3	4307	636
4	5264	636
5	5830	636
6	6465	636
7	7750	636
0	8038	596

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

Calls

Call 1

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

Outputs
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 re (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 re (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (*.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(.f64 re (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(.f64 re (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (.f64 re re) (.f64 re (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 re (.f64 (.f64 re re) (fma.f64 (.f64 re re) (fma.f64 (.f64 re re) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
1
#s(literal 1 binary64)
(+ 1 im)
(+.f64 im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp 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
#s(literal 1 binary64)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite152.0ms (1.7%)

Memory

-18.2MiB live, 229.2MiB allocated

Rules

2 156×	`lower-fma.f64`
2 156×	`lower-fma.f32`
1 880×	`lower-*.f32`
1 876×	`lower-*.f64`
1 538×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	18	30
1	59	26
2	397	24
0	4416	24

Stop Event

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

Counts

7 → 221

Calls

Call 1

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

Outputs
(log.f64 (exp.f64 (neg.f64 im)))
(+.f64 #s(literal 0 binary64) (neg.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 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 0 binary64))
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (*.f64 im (neg.f64 im)) (/.f64 #s(literal 1 binary64) im) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (.f64 im (.f64 im im)) (/.f64 #s(literal 1 binary64) (*.f64 im (neg.f64 im))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (neg.f64 (.f64 im (*.f64 im im))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 im (neg.f64 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 (/.f64 (.f64 im im) (.f64 im (.f64 im im))) (.f64 im (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im (neg.f64 im)) (.f64 im (neg.f64 im))) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im im) (.f64 im (neg.f64 im))) im #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im (.f64 im im)) (neg.f64 (.f64 im (.f64 im (.f64 im im))))) (.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 im (.f64 im im))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (.f64 im (.f64 im (.f64 im im))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) (.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (.f64 im (.f64 im im))) (neg.f64 (.f64 im (.f64 im (.f64 im im))))) (.f64 im (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im (.f64 im im)) (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (.f64 im (.f64 im (.f64 im im))) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im im) (.f64 im im)) (neg.f64 im) #s(literal 0 binary64))
(neg.f64 im)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 im (.f64 im im))) (*.f64 im im))
(/.f64 (*.f64 im im) (neg.f64 im))
(/.f64 (*.f64 im (neg.f64 im)) im)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(/.f64 (.f64 im (.f64 im im)) (*.f64 im (neg.f64 im)))
(/.f64 (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (.f64 (.f64 im im) (.f64 im (*.f64 im im))))
(/.f64 (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (.f64 im (.f64 im (.f64 im (*.f64 im im)))))
(/.f64 (neg.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im (.f64 im (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
(/.f64 (neg.f64 (.f64 im (.f64 im (.f64 im im)))) (.f64 im (*.f64 im im)))
(/.f64 (.f64 (.f64 im (neg.f64 im)) #s(literal 1 binary64)) im)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im im)))) (.f64 im (.f64 im (*.f64 im im))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (.f64 im im)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 im im)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1 binary64)) (.f64 (.f64 im (.f64 im (.f64 im im))) im))
(/.f64 (.f64 (neg.f64 (.f64 im (.f64 im (.f64 im im)))) #s(literal 1 binary64)) (.f64 im (.f64 im im)))
(/.f64 (.f64 (neg.f64 (.f64 im (.f64 im im))) #s(literal 1 binary64)) (.f64 im im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 (.f64 im im) (.f64 im (.f64 im (*.f64 im im)))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 im (*.f64 im im)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (/.f64 #s(literal 1 binary64) im)) (.f64 im (.f64 im (*.f64 im im))))
(/.f64 (.f64 (neg.f64 (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) im)) (*.f64 im im))
(/.f64 (/.f64 (.f64 im im) (.f64 im (neg.f64 im))) (/.f64 #s(literal 1 binary64) im))
(/.f64 (/.f64 (*.f64 im im) #s(literal -1 binary64)) im)
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal -1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(.f64 (neg.f64 (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 im im)))
(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (.f64 im (neg.f64 im)) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(.f64 (.f64 im (.f64 im im)) (/.f64 #s(literal 1 binary64) (.f64 im (neg.f64 im))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 im im))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (neg.f64 (.f64 im (.f64 im im))))
(.f64 (/.f64 #s(literal 1 binary64) im) (.f64 im (neg.f64 im)))
(.f64 (/.f64 (.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (/.f64 (.f64 im im) (.f64 im (.f64 im im))) (*.f64 im (neg.f64 im)))
(.f64 (/.f64 (.f64 im (neg.f64 im)) (*.f64 im (neg.f64 im))) (neg.f64 im))
(.f64 (/.f64 (.f64 im im) (*.f64 im (neg.f64 im))) im)
(.f64 (/.f64 (.f64 im (.f64 im im)) (neg.f64 (.f64 im (.f64 im (.f64 im im))))) (*.f64 im im))
(.f64 (/.f64 (neg.f64 (.f64 im (.f64 im im))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im))))) (.f64 im (.f64 im (*.f64 im im))))
(.f64 (/.f64 (neg.f64 (.f64 im (.f64 im im))) (.f64 im (.f64 im (.f64 im im)))) (*.f64 im im))
(.f64 (/.f64 (neg.f64 (.f64 im (.f64 im im))) (neg.f64 (.f64 im (.f64 im (.f64 im im))))) (*.f64 im (neg.f64 im)))
(.f64 (/.f64 (.f64 im (.f64 im im)) (neg.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (.f64 im (.f64 im (*.f64 im im))))
(.f64 (/.f64 (.f64 im im) (*.f64 im im)) (neg.f64 im))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 im) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (exp.f64 im) (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (sin.f64 re) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im))) (.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
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(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (expm1.f64 (.f64 (+.f64 im im) #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 im im) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 im im) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (-.f64 (neg.f64 im) im))) (exp.f64 (+.f64 (+.f64 im im) (+.f64 im im)))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (.f64 (-.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (-.f64 (neg.f64 im) im))) (exp.f64 (+.f64 (+.f64 im im) (+.f64 im im)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (fma.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))
(/.f64 (*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))) (+.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (expm1.f64 (*.f64 (+.f64 im im) #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 im im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (exp.f64 (*.f64 (+.f64 im im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (+.f64 (+.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (-.f64 (neg.f64 im) im))) (exp.f64 (+.f64 (+.f64 im im) (+.f64 im im)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (-.f64 (neg.f64 im) im))) (exp.f64 (+.f64 (+.f64 im im) (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))))
(*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im)))) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))
(.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 im))))
(.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (.f64 #s(literal 2 binary64) (cosh.f64 im)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (-.f64 (neg.f64 im) im) #s(literal 3 binary64))) (pow.f64 (expm1.f64 (+.f64 im im)) #s(literal 3 binary64)))) (fma.f64 (expm1.f64 (+.f64 im im)) (-.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) (exp.f64 (fma.f64 im #s(literal -2 binary64) (-.f64 (neg.f64 im) im)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (-.f64 (neg.f64 im) im))) (pow.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))))
(.f64 (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (*.f64 im #s(literal 3 binary64))))) (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 im im)))))
(exp.f64 im)
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 (neg.f64 (exp.f64 (neg.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
(pow.f64 (exp.f64 (*.f64 im (neg.f64 im))) (/.f64 #s(literal 1 binary64) im))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))))

eval42.0ms (0.5%)

Memory: -22.3MiB live, 93.6MiB allocated
Compiler: Compiled 6 650 to 876 computations (86.8% saved)

prune54.0ms (0.6%)

Memory

31.0MiB live, 109.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	307	9	316
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	308	9	317

Accuracy

100.0%

Counts

317 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
	1.7%	(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
▶	94.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
	87.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
	94.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
▶	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	79.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
▶	54.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))

Compiler

Compiled 310 to 198 computations (36.1% saved)

simplify247.0ms (2.7%)

Memory

5.1MiB live, 237.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 re)
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
cost-diff	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(sin.f64 re)
cost-diff	0	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 re)
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
cost-diff	0	(exp.f64 (neg.f64 im))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
cost-diff	13952	(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))

Rules

8 924×	`lower-fma.f32`
8 912×	`lower-fma.f64`
3 572×	`lower-*.f32`
3 548×	`lower-*.f64`
1 418×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	262
0	71	254
1	150	245
2	309	221
3	659	221
4	1234	221
5	1548	221
6	1996	221
7	2378	221
8	2855	221
9	3295	221
10	4015	221
11	6015	221
12	6905	221
13	7221	221
14	7295	221
15	7340	221
16	7551	221
0	8028	221

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
(sin.f64 re)
re
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(sin.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64)))
(fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))
im
(fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im)
(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 im #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 im (.f64 im im))
(*.f64 im im)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re

Outputs
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
(sin.f64 re)
re
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
#s(literal 1/2 binary64)
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 im))
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (sin.f64 re) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sin.f64 re)
re
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64)))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
im
(fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im)
(fma.f64 im (.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) im)
(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(*.f64 im #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(.f64 im (.f64 im im))
(*.f64 im im)
#s(literal 2 binary64)
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re

localize156.0ms (1.7%)

Memory

-19.4MiB live, 234.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(sin.f64 re)
accuracy	0.00390625	(cosh.f64 im)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
accuracy	0.05859375	(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
accuracy	0.05859375	(.f64 im (.f64 im im))
accuracy	0.26953125	(*.f64 im #s(literal 1/360 binary64))
accuracy	3.7222170053548207	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64)))
accuracy	0.078125	(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
accuracy	0.33203125	(*.f64 im #s(literal 1/24 binary64))
accuracy	2.174314795806629	(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	9.914618187249594	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0	(sin.f64 re)
accuracy	29.335765379619374	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
accuracy	0	(exp.f64 im)
accuracy	0.00390625	(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
accuracy	0.0078125	(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
accuracy	0.01171875	(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))

Samples

87.0ms

256×

valid

Compiler

Compiled 224 to 43 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 31.0ms (46.1% of total)

ival-add: 9.0ms (13.4% of total)

const: 9.0ms (13.4% of total)

ival-sin: 7.0ms (10.4% of total)

ival-exp: 5.0ms (7.4% of total)

ival-cosh: 3.0ms (4.5% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series34.0ms (0.4%)

Memory

8.1MiB live, 46.2MiB allocated

Counts

21 → 348

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (patch (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #<representation binary64>) () ())
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (patch (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #<representation binary64>) () ())
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal 1/24 binary64)) (patch (.f64 im #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) (taylor 0 re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) (taylor 0 re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) (taylor 0 re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) (taylor 0 re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor -inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor -inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor -inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor -inf re) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor 0 im) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re))))) (taylor 0 im) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))))) (taylor 0 im) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re)))))))))) (taylor 0 im) (#s(alt (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (patch (fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/360 im) (taylor inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 im) (taylor inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 im) (taylor inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 im) (taylor -inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 im) (taylor -inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 im) (taylor -inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 im) (taylor -inf im) (#s(alt (.f64 im #s(literal 1/360 binary64)) (patch (.f64 im #s(literal 1/360 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor 0 im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor 0 im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor 0 im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor 0 im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor -inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor -inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor -inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (pow im 3) (taylor -inf im) (#s(alt (.f64 im (.f64 im im)) (patch (.f64 im (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt 1/12 (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/12 (* 1/360 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	re	@	-inf	(* (* 1 (cosh im)) (sin re))
3.0ms	im	@	inf	(* 1 (cosh im))
2.0ms	re	@	inf	(+ (* (* (sin re) (exp (neg im))) 1/2) (* (sin re) (* 1/2 (exp im))))
1.0ms	im	@	inf	(+ (* (* (sin re) (exp (neg im))) 1/2) (* (sin re) (* 1/2 (exp im))))
1.0ms	re	@	-inf	(+ (* (* (sin re) (exp (neg im))) 1/2) (* (sin re) (* 1/2 (exp im))))

simplify314.0ms (3.4%)

Memory

6.5MiB live, 448.3MiB allocated

Algorithm

1×	egg-herbie

Rules

19 456×	`lower-fma.f64`
19 456×	`lower-fma.f32`
6 144×	`lower-+.f64`
6 144×	`lower-+.f32`
4 332×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	3674
1	1175	3367
2	3478	3273
3	7313	3270
0	8117	3070

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 347

Calls

Call 1

Inputs
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(sin re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(* re (exp (neg im)))
(* re (+ (exp (neg im)) (* -1/6 (* (pow re 2) (exp (neg im))))))
(* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* 1/120 (* (pow re 2) (exp (neg im))))))))
(* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (exp (neg im)))) (* 1/120 (exp (neg im)))))))))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(sin re)
(+ (sin re) (* -1 (* im (sin re))))
(+ (sin re) (* im (+ (* -1 (sin re)) (* 1/2 (* im (sin re))))))
(+ (sin re) (* im (+ (* -1 (sin re)) (* im (+ (* -1/6 (* im (sin re))) (* 1/2 (sin re)))))))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (neg im)) (sin re))
(* (exp (* -1 im)) (sin re))
(* (exp (* -1 im)) (sin re))
(* (exp (* -1 im)) (sin re))
(* (exp (* -1 im)) (sin re))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* re (+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/6 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (* 1/120 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))) (* (pow re 2) (+ (* -1/6 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))) (* 1/120 (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))))))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(* (sin re) (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(* 1/24 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* 1/24 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/24 (sin re)) (* 1/2 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
(* (pow im 4) (+ (* 1/24 (sin re)) (+ (* 1/2 (/ (sin re) (pow im 2))) (/ (sin re) (pow im 4)))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* re (exp im)))
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im)))))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im))))))))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (sin re))
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re)))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re)))))))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(exp im)
(exp im)
(exp im)
(exp im)
(exp im)
(exp im)
(exp im)
(exp im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(* 1/360 im)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
1/12
(+ 1/12 (* 1/360 (pow im 2)))
(+ 1/12 (* 1/360 (pow im 2)))
(+ 1/12 (* 1/360 (pow im 2)))
(* 1/360 (pow im 2))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* 1/360 (pow im 2))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))

Outputs
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re #s(literal 1/2 binary64)))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (.f64 (.f64 re re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(.f64 re (fma.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(sin re)
(sin.f64 re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(sin.f64 re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* re (exp (neg im)))
(*.f64 re (exp.f64 (neg.f64 im)))
(* re (+ (exp (neg im)) (* -1/6 (* (pow re 2) (exp (neg im))))))
(.f64 (exp.f64 (neg.f64 im)) (fma.f64 re (.f64 (*.f64 re re) #s(literal -1/6 binary64)) re))
(* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* 1/120 (* (pow re 2) (exp (neg im))))))))
(.f64 re (.f64 (exp.f64 (neg.f64 im)) (+.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 re re) (.f64 (*.f64 re re) #s(literal 1/120 binary64))))))
(* re (+ (exp (neg im)) (* (pow re 2) (+ (* -1/6 (exp (neg im))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (exp (neg im)))) (* 1/120 (exp (neg im)))))))))
(.f64 re (fma.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (.f64 (.f64 re re) (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 re re)) (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(sin re)
(sin.f64 re)
(+ (sin re) (* -1 (* im (sin re))))
(*.f64 (sin.f64 re) (-.f64 #s(literal 1 binary64) im))
(+ (sin re) (* im (+ (* -1 (sin re)) (* 1/2 (* im (sin re))))))
(.f64 (sin.f64 re) (+.f64 (neg.f64 im) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(+ (sin re) (* im (+ (* -1 (sin re)) (* im (+ (* -1/6 (* im (sin re))) (* 1/2 (sin re)))))))
(fma.f64 im (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (neg im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (* -1 im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (* -1 im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (* -1 im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
(* (exp (* -1 im)) (sin re))
(*.f64 (exp.f64 (neg.f64 im)) (sin.f64 re))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re #s(literal 1/2 binary64)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (.f64 (.f64 re re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 re (fma.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)))) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (sin.f64 re))) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
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(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(* (pow im 2) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

rewrite336.0ms (3.7%)

Memory

-4.6MiB live, 379.8MiB allocated

Rules

5 478×	`lower-fma.f32`
5 466×	`lower-fma.f64`
3 846×	`lower-/.f64`
3 846×	`lower-/.f32`
3 614×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	195
0	71	191
1	249	154
2	1667	154
0	8631	154

Stop Event

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

Counts

21 → 473

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))
(sin.f64 re)
(exp.f64 (neg.f64 im))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(cosh.f64 im)
(.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(exp.f64 im)
(*.f64 im #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im #s(literal 1/360 binary64))
(.f64 im (.f64 im im))
(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))

Outputs
(+.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))) (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 im) (sin.f64 re)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 im) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (sin.f64 re) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (sin.f64 re) (sin.f64 re)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (sin.f64 re)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 re)) (/.f64 (.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (sin.f64 re)) (/.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (sin.f64 re)) (/.f64 (pow.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) re)))) (sin.f64 re)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (sin.f64 re)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (sin.f64 re)) (sin.f64 re)) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (sin.f64 re)) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(fma.f64 (/.f64 (.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sin.f64 re)) (/.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) (cosh.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) (cosh.f64 im))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (expm1.f64 (+.f64 im im))) (.f64 (+.f64 (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))) (exp.f64 (.f64 im #s(literal 3 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (-.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sin.f64 re) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) (cosh.f64 im)))))
(/.f64 (.f64 (.f64 (sin.f64 re) (cosh.f64 im)) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))) (.f64 (sin.f64 re) (-.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (exp.f64 im)))))
(/.f64 (.f64 (sin.f64 re) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
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(.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/576 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 im im) #s(literal 1/48 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(*.f64 im #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) im)
(+.f64 #s(literal 0 binary64) (.f64 im (.f64 im im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 im (.f64 im im))))
(neg.f64 (neg.f64 (.f64 im (.f64 im im))))
(/.f64 (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im)))) (.f64 (.f64 im im) (.f64 (.f64 im im) (*.f64 im im))))
(/.f64 (neg.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im)))) (neg.f64 (.f64 im (*.f64 im im))))
(/.f64 (pow.f64 (neg.f64 (.f64 im im)) #s(literal 3 binary64)) (neg.f64 (.f64 im (*.f64 im im))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (*.f64 im im))) #s(literal 0 binary64))))
(pow.f64 im #s(literal 3 binary64))
(pow.f64 (*.f64 im im) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 3 binary64))
(.f64 im (.f64 im im))
(.f64 (.f64 im im) im)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 im (*.f64 im im))))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3/2 binary64)))
(+.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))
(+.f64 (.f64 (.f64 im im) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))
(fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64))
(fma.f64 (*.f64 im #s(literal 1/360 binary64)) im #s(literal 1/12 binary64))
(fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (.f64 (.f64 im im) #s(literal 1/4320 binary64)))) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (*.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64))) (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)))))
(/.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 im im) #s(literal 1/4320 binary64))))
(/.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (.f64 (*.f64 im im) #s(literal 1/4320 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 im im) #s(literal 1/4320 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (.f64 (*.f64 im im) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64))) (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)) (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (.f64 im im) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (.f64 (.f64 im im) #s(literal 1/360 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))) (.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (*.f64 im im) #s(literal 1/4320 binary64)))))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64)) (.f64 (.f64 im im) #s(literal 1/4320 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/46656000 binary64)) #s(literal 1/1728 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal 1/144 binary64)) (.f64 (*.f64 im im) #s(literal 1/4320 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64) #s(literal -1/144 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 im (*.f64 im #s(literal 1/360 binary64)) #s(literal -1/12 binary64)))))
(.f64 (-.f64 #s(literal 1/144 binary64) (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal 1/129600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (.f64 (*.f64 im im) #s(literal 1/360 binary64)))))

eval181.0ms (2%)

Memory: 17.5MiB live, 208.6MiB allocated
Compiler: Compiled 21 995 to 1 482 computations (93.3% saved)

prune213.0ms (2.3%)

Memory

-31.3MiB live, 221.7MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	877	13	890
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	884	15	899

Accuracy

100.0%

Counts

899 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(.f64 (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
	59.7%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
▶	79.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
▶	94.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
	57.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
	61.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	54.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	51.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
	54.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
▶	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
▶	33.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))

Compiler

Compiled 542 to 300 computations (44.6% saved)

simplify70.0ms (0.8%)

Memory

35.5MiB live, 111.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 im im)
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(*.f64 re re)
cost-diff	0	(fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)
cost-diff	0	#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
cost-diff	0	(.f64 (.f64 re re) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)
cost-diff	0	#s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(sin.f64 re)
cost-diff	0	(*.f64 (sin.f64 re) (cosh.f64 im))

Rules

2 744×	`lower-fma.f32`
2 728×	`lower-fma.f64`
1 036×	`lower-*.f32`
1 014×	`lower-*.f64`
756×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	325
0	77	317
1	157	311
2	358	299
3	750	299
4	1450	299
5	2108	299
6	2541	299
7	2580	299
8	2592	299
9	2592	299
10	2592	299
0	2592	293

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
re
(cosh.f64 im)
im
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re))
(fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)
re
(.f64 (.f64 re re) #s(literal -1/6 binary64))
(*.f64 re re)
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 re (.f64 re re)) re)))
#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re))
#s(approx (sin re) (fma.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 re (.f64 re re)) re))
(fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)
(fma.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 re (.f64 re re)) re)
(*.f64 re re)
re
(.f64 (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re)
(.f64 re (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(fma.f64 re (*.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 re #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re

localize291.0ms (3.2%)

Memory

-0.9MiB live, 277.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
accuracy	0.2265625	(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
accuracy	0.29553837196615584	(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy	3.722691663605476	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy	0	(sin.f64 re)
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	12.789291696789522	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0.1015625	(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy	0.1953125	(.f64 (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re)
accuracy	29.335765379619374	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
accuracy	32.5169212355942	#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re))
accuracy	0.07421875	(fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)
accuracy	0.1953125	(.f64 (.f64 re re) #s(literal -1/6 binary64))
accuracy	29.335765379619374	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
accuracy	32.541509834568856	#s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re))
accuracy	0	(sin.f64 re)
accuracy	0.00390625	(cosh.f64 im)
accuracy	0.0078125	(*.f64 (sin.f64 re) (cosh.f64 im))

Samples

198.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 239 to 46 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 99.0ms (71.6% of total)

const: 14.0ms (10.1% of total)

ival-add: 10.0ms (7.2% of total)

ival-sin: 7.0ms (5.1% of total)

ival-exp: 3.0ms (2.2% of total)

ival-cosh: 3.0ms (2.2% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-46.8MiB live, 49.1MiB allocated

Counts

23 → 336

Calls

Call 1

Inputs
#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re))) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())
#s(alt (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) (patch (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) #<representation binary64>) () ())
#s(alt (.f64 (.f64 re re) #s(literal -1/6 binary64)) (patch (.f64 (.f64 re re) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re))) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re))) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re) (patch (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re) #<representation binary64>) () ())
#s(alt (.f64 re re) (patch (.f64 re re) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re)) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) (patch (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) #<representation binary64>) () ())
#s(alt (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (patch (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (.f64 (sin.f64 re) (cosh.f64 im)) (patch (.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
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#s(alt (* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/24 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 4)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

84 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	(+ (* (* re re) (* (+ (* re (* re (+ (* re (* re -1/5040)) 1/120))) -1/6) re)) re)
0.0ms	re	@	inf	(+ (* (* re re) (* (+ (* re (* re (+ (* re (* re -1/5040)) 1/120))) -1/6) re)) re)
0.0ms	re	@	inf	(+ (* re (* (* re re) -1/6)) re)
0.0ms	re	@	0	(* (* re re) -1/6)
0.0ms	re	@	inf	(* (* re re) -1/6)

simplify270.0ms (2.9%)

Memory

22.8MiB live, 253.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 118×	`lower-fma.f64`
9 118×	`lower-fma.f32`
4 008×	`lower-*.f64`
4 008×	`lower-*.f32`
2 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	3396
1	732	3199
2	2035	3157
3	5025	3112
4	7122	3112
0	8143	2940

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

Calls

Call 1

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

Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(.f64 re (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (.f64 re re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) #s(literal -1/12 binary64))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (.f64 im im) (.f64 (sin.f64 re) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (sin.f64 re))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 re (.f64 re re)) re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(.f64 re (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(.f64 re (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (.f64 re re) (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/10080 binary64)) #s(literal 1/240 binary64))) #s(literal -1/12 binary64))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (.f64 im im) (.f64 (sin.f64 re) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (sin.f64 re))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 re (.f64 re re)) re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* -1/6 (pow re 3))
(.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* -1/6 (pow re 3))
(.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* -1/6 (pow re 2))
(.f64 re (.f64 re #s(literal -1/6 binary64)))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
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(sin re)
(sin.f64 re)
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(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
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re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
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(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
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(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 re (.f64 re re)) re)
(* -1/5040 (pow re 7))
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(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) 1/5040))
(.f64 (pow.f64 re #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 re re))))
(* (pow re 7) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 re re)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 re re) (*.f64 re re))))))
(* (pow re 7) (- (+ (* 1/120 (/ 1 (pow re 2))) (/ 1 (pow re 6))) (+ 1/5040 (/ 1/6 (pow re 4)))))
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(* -1/5040 (pow re 7))
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(* -1 (* (pow re 7) (- (+ 1/5040 (/ 1/6 (pow re 4))) (* 1/120 (/ 1 (pow re 2))))))
(.f64 (pow.f64 re #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 re re)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 re re) (*.f64 re re))))))
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(pow re 2)
(*.f64 re re)
(pow re 2)
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(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
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(pow re 2)
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(pow re 2)
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(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
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(pow re 2)
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(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(.f64 #s(literal 1/2 binary64) (.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 re (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(.f64 re (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 (.f64 re re) (fma.f64 re (.f64 re #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
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(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
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(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
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(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
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(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
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(* 1/2 (sin re))
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(* 1/2 (sin re))
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(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(* 1/2 (sin re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
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(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
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(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
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(+ (exp im) (exp (neg im)))
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(+ (exp im) (exp (* -1 im)))
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(+ (exp im) (exp (* -1 im)))
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(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
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(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/720 (pow im 6))
(*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (*.f64 im im))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(fma.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (.f64 im im))))) #s(literal 1 binary64))
(* 1/720 (pow im 6))
(*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 im im))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (*.f64 im im))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(fma.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 im im) (.f64 im im))))) #s(literal 1 binary64))
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(* -1/6 re)
(*.f64 re #s(literal -1/6 binary64))
(* re (- (* 1/120 (pow re 2)) 1/6))
(.f64 re (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* re (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))
(.f64 re (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* re (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))
(.f64 re (fma.f64 re (.f64 re (fma.f64 re (*.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* -1/5040 (pow re 5))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (- (* 1/120 (/ 1 (pow re 2))) 1/5040))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* (pow re 5) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 re re)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 re re) (*.f64 re re))))))
(* (pow re 5) (- (* 1/120 (/ 1 (pow re 2))) (+ 1/5040 (/ 1/6 (pow re 4)))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 re re)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 re re) (*.f64 re re))))))
(* -1/5040 (pow re 5))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (- 1/5040 (* 1/120 (/ 1 (pow re 2))))))
(.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 re re))) (pow.f64 re #s(literal 5 binary64)))
(* -1 (* (pow re 5) (- (+ 1/5040 (/ 1/6 (pow re 4))) (* 1/120 (/ 1 (pow re 2))))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 re re)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 re re) (*.f64 re re))))))
(* -1 (* (pow re 5) (- (+ 1/5040 (/ 1/6 (pow re 4))) (* 1/120 (/ 1 (pow re 2))))))
(.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 re re)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 re re) (*.f64 re re))))))
(* 1/120 re)
(*.f64 re #s(literal 1/120 binary64))
(* re (+ 1/120 (* -1/5040 (pow re 2))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* re (+ 1/120 (* -1/5040 (pow re 2))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* re (+ 1/120 (* -1/5040 (pow re 2))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1/5040 (pow re 3))
(.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))
(* (pow re 3) (- (* 1/120 (/ 1 (pow re 2))) 1/5040))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow re 3) (- (* 1/120 (/ 1 (pow re 2))) 1/5040))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* (pow re 3) (- (* 1/120 (/ 1 (pow re 2))) 1/5040))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1/5040 (pow re 3))
(.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))
(* -1 (* (pow re 3) (- 1/5040 (* 1/120 (/ 1 (pow re 2))))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1 (* (pow re 3) (- 1/5040 (* 1/120 (/ 1 (pow re 2))))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* -1 (* (pow re 3) (- 1/5040 (* 1/120 (/ 1 (pow re 2))))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* 1/720 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/720 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/720 (pow im 2))
(.f64 (.f64 im im) #s(literal 1/720 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(* 1/24 im)
(*.f64 im #s(literal 1/24 binary64))
(* im (+ 1/24 (* 1/720 (pow im 2))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* im (+ 1/24 (* 1/720 (pow im 2))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* im (+ 1/24 (* 1/720 (pow im 2))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow im 3))
(.f64 im (.f64 (*.f64 im im) #s(literal 1/720 binary64)))
(* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* 1/720 (pow im 3))
(.f64 im (.f64 (*.f64 im im) #s(literal 1/720 binary64)))
(* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(* (pow im 3) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/720 binary64))))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* 1/720 (pow im 4))
(.f64 im (.f64 im (.f64 (.f64 im im) #s(literal 1/720 binary64))))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))

rewrite323.0ms (3.5%)

Memory

11.9MiB live, 355.7MiB allocated

Rules

5 176×	`lower-fma.f32`
5 160×	`lower-fma.f64`
4 202×	`lower-*.f32`
4 180×	`lower-*.f64`
3 880×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	276
0	77	268
1	286	246
2	1939	246
0	8315	240

Stop Event

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

Counts

23 → 454

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))) (/.f64 (pow.f64 (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))) (.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im))))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (sin.f64 re) (.f64 #s(literal 1/2 binary64) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 re) (exp.f64 im)) (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (exp.f64 (neg.f64 im)))))
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eval152.0ms (1.7%)

Memory: 21.8MiB live, 300.8MiB allocated
Compiler: Compiled 24 926 to 2 009 computations (91.9% saved)

prune195.0ms (2.1%)

Memory

-24.2MiB live, 291.5MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	864	10	874
Fresh	3	5	8
Picked	2	3	5
Done	0	2	2
Total	869	20	889

Accuracy

100.0%

Counts

889 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(.f64 (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	79.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
✓	94.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
▶	57.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
▶	94.1%	(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
▶	48.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	57.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
▶	48.6%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	59.7%	(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
	61.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	54.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	51.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
	33.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
	33.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
▶	10.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))

Compiler

Compiled 665 to 362 computations (45.6% saved)

simplify60.0ms (0.7%)

Memory

40.7MiB live, 77.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 im im)
cost-diff	0	(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
cost-diff	0	(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))
cost-diff	0	#s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
cost-diff	0	(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))

Rules

1 492×	`lower-fma.f32`
1 474×	`lower-fma.f64`
692×	`lower-*.f32`
664×	`lower-*.f64`
518×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	495
0	92	467
1	199	453
2	378	447
3	606	447
4	818	447
5	1076	447
6	1314	447
7	1337	447
8	1356	447
9	1390	447
10	1391	447
11	1393	447
12	1393	447
0	1393	441

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
im
(.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im im)
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 im #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))))
#s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))
(.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))
(*.f64 re re)
re
(*.f64 re #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
re
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(*.f64 re re)
re
(*.f64 re #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

Outputs
(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
(.f64 (sin.f64 re) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
im
(.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(*.f64 im im)
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 im #s(literal 1/720 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))))
#s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))
(.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))
(*.f64 re re)
re
(*.f64 re #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
re
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(*.f64 re #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
im
(fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))
(fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)
(*.f64 re re)
re
(*.f64 re #s(literal -1/6 binary64))
#s(literal -1/6 binary64)

localize192.0ms (2.1%)

Memory

-38.1MiB live, 329.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.29163212196615584	(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
accuracy	0.37890625	(*.f64 re #s(literal -1/6 binary64))
accuracy	3.722691663605476	#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	32.541509834568856	#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))
accuracy	0.07421875	(.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
accuracy	0.37890625	(*.f64 re #s(literal -1/12 binary64))
accuracy	12.564790708456497	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	32.54158627493205	#s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) re)
accuracy	0.0078125	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy	12.564790708456497	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	32.437391021577454	#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
accuracy	0.37890625	(*.f64 re #s(literal -1/6 binary64))
accuracy	28.843590846910367	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
accuracy	29.035071134950755	#s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))
accuracy	32.541509834568856	#s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))))
accuracy	0.05859375	(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
accuracy	0.26953125	(*.f64 im #s(literal 1/720 binary64))
accuracy	0.3285201618462148	(/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
accuracy	3.722691663605476	#s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))

Samples

120.0ms	254×	0	valid
3.0ms	2×	5	exit

Compiler

Compiled 336 to 53 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 39.0ms (43.9% of total)

ival-add: 15.0ms (16.9% of total)

const: 13.0ms (14.6% of total)

ival-div: 6.0ms (6.7% of total)

ival-sin: 6.0ms (6.7% of total)

ival-exp: 4.0ms (4.5% of total)

ival-cosh: 3.0ms (3.4% of total)

adjust: 1.0ms (1.1% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series23.0ms (0.3%)

Memory

8.9MiB live, 47.6MiB allocated

Counts

26 → 372

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re)) (patch (.f64 #s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (patch #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)))))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64))))) (patch #s(approx (sin re) #s(approx (+ ( re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)))) (patch #s(approx (+ ( re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64))) (patch (.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) (patch #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) re) (patch (.f64 #s(literal 1/2 binary64) re) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) (patch #s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) (patch (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (patch (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (patch (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 im im) (patch (.f64 im im) #<representation binary64>) () ())
#s(alt (.f64 im #s(literal 1/720 binary64)) (patch (.f64 im #s(literal 1/720 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (pow im 2))) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2))))) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 6)) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6)))))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1/24 (* 1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (patch (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/6 binary64)) (patch (.f64 re #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor 0 re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 re) (taylor -inf re) (#s(alt (.f64 re #s(literal -1/12 binary64)) (patch (.f64 re #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (patch #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #<representation binary64>) () ())) ())
#s(alt 1/24 (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/24 (* 1/720 (pow im 2))) (taylor 0 im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 2)) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
0.0ms	re	@	inf	(* re (+ (* re (* re -1/12)) 1/2))
0.0ms	re	@	0	(* re (+ (* re (* re -1/12)) 1/2))
0.0ms	re	@	inf	(* 1/2 re)
0.0ms	re	@	-inf	(* (* re re) (* re -1/6))
0.0ms	re	@	inf	(* re -1/12)

simplify199.0ms (2.2%)

Memory

29.9MiB live, 261.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 146×	`lower-fma.f64`
8 146×	`lower-fma.f32`
4 140×	`lower-*.f64`
4 140×	`lower-*.f32`
2 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	216	3462
1	683	3277
2	1847	3227
3	4345	3182
4	5670	3182
5	7940	3182
0	8127	3013

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 5/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 5/24 (* -61/720 (pow im 2)))) 1/2)))
(/ 720 (pow im 6))
(/ (- 720 (* 21600 (/ 1 (pow im 2)))) (pow im 6))
(/ (- (+ 720 (/ 388800 (pow im 4))) (* 21600 (/ 1 (pow im 2)))) (pow im 6))
(/ (- (+ 720 (/ 388800 (pow im 4))) (+ (* 21600 (/ 1 (pow im 2))) (* 4406400 (/ 1 (pow im 6))))) (pow im 6))
(/ 720 (pow im 6))
(/ (- 720 (* 21600 (/ 1 (pow im 2)))) (pow im 6))
(/ (- (+ 720 (/ 388800 (pow im 4))) (* 21600 (/ 1 (pow im 2)))) (pow im 6))
(/ (- (+ 720 (/ 388800 (pow im 4))) (+ (* 21600 (/ 1 (pow im 2))) (* 4406400 (/ 1 (pow im 6))))) (pow im 6))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* -1/6 (pow re 2))))
(* -1/6 (pow re 3))
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6))
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6))
(* (pow re 3) (- (/ 1 (pow re 2)) 1/6))
(* -1/6 (pow re 3))
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))
(* -1 (* (pow re 3) (- 1/6 (/ 1 (pow re 2)))))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* -1/6 (pow re 3))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* -1/12 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 3) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 3))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (- 1/12 (* 1/2 (/ 1 (pow re 2))))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* -1/12 (pow re 2)))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* -1/12 (pow re 2))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(* (pow re 2) (- (* 1/2 (/ 1 (pow re 2))) 1/12))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(* 1/720 (pow im 6))
(* (pow im 6) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
(* 1/720 im)
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/6 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
(* -1/12 re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
(sin re)
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))

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

rewrite546.0ms (6%)

Memory

-186.1MiB live, 332.1MiB allocated

Rules

4 888×	`lower-fma.f32`
4 870×	`lower-fma.f64`
3 614×	`lower-*.f32`
3 586×	`lower-*.f64`
3 558×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	370
0	92	343
1	366	318
2	1908	318
0	8579	313

Stop Event

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

Counts

26 → 405

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))))
#s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))
(.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) re)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 im #s(literal 1/720 binary64))
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 re #s(literal -1/6 binary64))
(*.f64 re #s(literal -1/12 binary64))
#s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))

Outputs
(+.f64 #s(literal 1 binary64) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))
(+.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 im im) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) (.f64 (*.f64 im im) #s(literal 1/2 binary64)))
(exp.f64 (log1p.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log1p.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (/.f64 (.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 im (.f64 im (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 im im) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) im #s(literal 1 binary64))
(fma.f64 (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (.f64 im (.f64 im im)) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im (.f64 (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(fma.f64 (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 im (.f64 im im)) (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(*.f64 re #s(literal -1/12 binary64))
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#s(approx (sin re) (fma.f64 re (.f64 #s(literal -1/6 binary64) (.f64 re re)) re))
(+.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))
(+.f64 (.f64 im (.f64 im #s(literal 1/720 binary64))) #s(literal 1/24 binary64))
(+.f64 (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))) (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))
(fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im #s(literal 1/720 binary64)) im #s(literal 1/24 binary64))
(fma.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (neg.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))) (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (*.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))
(/.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (-.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 im im) #s(literal 1/17280 binary64))))
(/.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))
(/.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 im im) #s(literal 1/17280 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 im im) #s(literal 1/17280 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 im (.f64 im #s(literal 1/720 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (.f64 (/.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 im im) #s(literal 1/17280 binary64)))))
(.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64)) (.f64 (.f64 im im) #s(literal 1/17280 binary64))))))
(.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im im)) (.f64 (.f64 im (.f64 im im)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 im im) #s(literal 1/17280 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 im (.f64 im (.f64 im im))) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 im (*.f64 im #s(literal 1/720 binary64))))))

eval150.0ms (1.6%)

Memory: 5.8MiB live, 159.0MiB allocated
Compiler: Compiled 27 875 to 1 929 computations (93.1% saved)

prune195.0ms (2.1%)

Memory

-4.6MiB live, 200.2MiB allocated

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	884	15	899
Fresh	1	9	10
Picked	2	3	5
Done	0	5	5
Total	887	32	919

Accuracy

100.0%

Counts

919 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(.f64 (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
✓	79.8%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	100.0%	(*.f64 (sin.f64 re) (cosh.f64 im))
	57.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
	24.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
	31.7%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
	24.3%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
	12.4%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
✓	94.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
	57.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
✓	94.1%	(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
	48.8%	(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	40.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	48.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	12.2%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	57.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
	57.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
	54.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓	48.6%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	26.2%	(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
	59.7%	(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
	61.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	87.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	54.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	51.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
	34.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
	33.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
	10.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
✓	10.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
	10.2%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))

Compiler

Compiled 1 638 to 582 computations (64.5% saved)

regimes111.0ms (1.2%)

Memory

11.3MiB live, 89.2MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

Outputs
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))

Calls

6 calls:

42.0ms	re
17.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
13.0ms	(sin.f64 re)
13.0ms	im
12.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes85.0ms (0.9%)

Memory

7.1MiB live, 86.8MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

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

Calls

6 calls:

23.0ms	im
14.0ms	(sin.f64 re)
13.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
12.0ms	re
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
100.0%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
100.0%	1	`(sin.f64 re)`
100.0%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes86.0ms (0.9%)

Memory

-14.8MiB live, 104.1MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 im im) (.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))

Outputs

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

(*.f64 #s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re))

Calls

6 calls:

26.0ms	(sin.f64 re)
13.0ms	re
12.0ms	im
12.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
96.8%	2	`re`
98.2%	3	`im`
94.1%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
94.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
94.1%	1	`(sin.f64 re)`
94.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes14.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (*.f64 im im)) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))))

Outputs

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

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re))

Calls

1 calls:

11.0ms

re

Results

Accuracy	Segments	Branch
96.8%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes66.0ms (0.7%)

Memory

8.5MiB live, 123.6MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 im (.f64 im (.f64 im #s(literal 1/12 binary64))) im) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 (.f64 im (.f64 im #s(literal 1/24 binary64))) im) im (fma.f64 im (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))

Calls

6 calls:

12.0ms	(sin.f64 re)
12.0ms	re
11.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms	im

Results

Accuracy	Segments	Branch
93.1%	3	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
93.1%	3	`(sin.f64 re)`
87.8%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
97.1%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
96.2%	3	`im`
93.1%	2	`re`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes13.0ms (0.1%)

Memory

-22.0MiB live, 20.6MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 (fma.f64 (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal -1/4 binary64)) (.f64 im im)) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
97.0%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes10.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))) (/.f64 #s(literal 1 binary64) (.f64 im (.f64 im (.f64 im im))))) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
96.8%	3	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes49.0ms (0.5%)

Memory

10.0MiB live, 88.6MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 im (.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (.f64 im (.f64 im (.f64 im im))) (fma.f64 im (.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (sin re) (fma.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (/.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 im im)) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 (.f64 re (.f64 re re)) #s(literal -1/1728 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 re re) #s(literal -1/24 binary64))))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (*.f64 im im) (fma.f64 im (*.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (*.f64 (*.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (*.f64 re re) (*.f64 re #s(literal -1/6 binary64)) re)))

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
57.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
69.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
69.4%	2	`(sin.f64 re)`
59.9%	2	`re`
59.9%	2	`im`
69.4%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes21.0ms (0.2%)

Memory

3.2MiB live, 42.4MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im (fma.f64 (fma.f64 im (.f64 im #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (.f64 im (.f64 im im)) im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (/.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

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

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
69.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
69.0%	2	`(sin.f64 re)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes22.0ms (0.2%)

Memory

-11.2MiB live, 30.2MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
66.0%	2	`(sin.f64 re)`
66.0%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes18.0ms (0.2%)

Memory

-4.4MiB live, 34.7MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re #s(approx (* re (+ (* re (* re -1/5040)) 1/120)) (.f64 #s(literal -1/5040 binary64) (.f64 re (*.f64 re re)))) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 re (.f64 re (fma.f64 re (.f64 re #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) re) re)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
65.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
65.6%	2	`(sin.f64 re)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes15.0ms (0.2%)

Memory

-9.6MiB live, 29.7MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.3%	2	`(sin.f64 re)`
62.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes14.0ms (0.2%)

Memory

-8.1MiB live, 30.9MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 re re)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re re) (*.f64 re #s(literal -1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 re (*.f64 re re)) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re (.f64 re re)) #s(literal -1/6 binary64) re)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 (fma.f64 (*.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (fma.f64 (.f64 re re) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 re (*.f64 re re)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re)))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
62.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.3%	2	`(sin.f64 re)`
62.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes25.0ms (0.3%)

Memory

11.8MiB live, 53.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
52.0%	3	`im`
51.6%	2	`re`
59.3%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
59.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
59.3%	2	`(sin.f64 re)`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes11.0ms (0.1%)

Memory

-12.3MiB live, 27.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
57.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
57.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
57.0%	2	`(sin.f64 re)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes18.0ms (0.2%)

Memory

7.0MiB live, 46.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
33.5%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
33.5%	1	`im`
33.5%	1	`re`
33.5%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
33.5%	1	`(sin.f64 re)`
33.5%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes13.0ms (0.1%)

Memory

-5.2MiB live, 34.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

3.0ms	re
2.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms	im
2.0ms	(sin.f64 re)
2.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))

Results

Accuracy	Segments	Branch
33.6%	2	`re`
34.7%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
34.7%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
34.7%	2	`(sin.f64 re)`
33.3%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
33.4%	2	`im`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
26.2%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
26.2%	1	`im`
26.2%	1	`re`
26.2%	1	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
26.2%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
26.2%	1	`(sin.f64 re)`

Compiler

Compiled 39 to 30 computations (23.1% saved)

bsearch4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.9457056931532258e-58	1.4614587146332492e-53

Samples

2.0ms

32×

valid

Compiler

Compiled 101 to 68 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

-39.8MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.9457056931532258e-58	1.4614587146332492e-53

Compiler

Compiled 93 to 62 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.043917842373316	+inf
0.0ms	-inf	-0.9992699166574622

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.043917842373316	+inf
0.0ms	-inf	-0.9992699166574622

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.043917842373316	+inf
0.0ms	-inf	-0.9992699166574622

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.652255047531996e-7	0.0282249466622181

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.652255047531996e-7	0.0282249466622181

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.652255047531996e-7	0.0282249466622181

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.652255047531996e-7	0.0282249466622181

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.652255047531996e-7	0.0282249466622181

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.007242423581836097	2.6937587672980647e-308

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.007242423581836097	2.6937587672980647e-308

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.652255047531996e-7	0.0282249466622181

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.007242423581836097	2.6937587672980647e-308

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify16.0ms (0.2%)

Memory

-2.8MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1196
1	207	1196
2	209	1196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 re #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im)) (.f64 #s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re)))
(if (<=.f64 re #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im)) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 re re)) re)))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

Outputs
(fma.f64 (.f64 (sin.f64 re) (exp.f64 (neg.f64 im))) #s(literal 1/2 binary64) (.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 re #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im)) (.f64 #s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (sin.f64 re)))
(if (<=.f64 re #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 (cosh.f64 im) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im (.f64 im (fma.f64 (.f64 im im) (fma.f64 im (*.f64 im #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(if (<=.f64 re #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) (cosh.f64 im)) (.f64 #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 re #s(literal 5521397077432451/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (.f64 (cosh.f64 im) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (.f64 (sin.f64 re) #s(approx (* 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
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(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (.f64 im im) #s(literal 1 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
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(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 5 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx (sin re) (fma.f64 (.f64 re re) (.f64 re #s(literal -1/6 binary64)) re)) #s(approx ( 1 (cosh im)) (fma.f64 (.f64 im im) (fma.f64 im (.f64 im #s(approx (+ (* (* im im) 1/720) 1/24) (.f64 (.f64 im im) #s(literal 1/720 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (.f64 #s(approx (* 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))))
(if (<=.f64 (sin.f64 re) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (.f64 re (.f64 (fma.f64 re (.f64 re #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 re (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (.f64 im im) (fma.f64 (*.f64 im im) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))))
(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re (fma.f64 re (.f64 re #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 re (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) re) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64))))))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (* im im) (+ (* im (* im 1/24)) 1/2)) 1)) (fma.f64 (.f64 im im) (.f64 re (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64)))))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 re #s(approx (+ ( re (* re -1/12)) 1/2) (.f64 re (.f64 re #s(literal -1/12 binary64))))))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 re (.f64 re #s(literal -1/6 binary64))) re))) (.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 (.f64 re #s(literal -1/6 binary64)) re) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 re (.f64 re (.f64 re #s(literal -1/6 binary64))) re)))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 re re)) re)))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (+ (* re (* (* re re) -1/6)) re) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)))))) (.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(.f64 #s(approx ( 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))

soundness1.9s (21%)

Memory

23.4MiB live, 1 624.4MiB allocated

Rules

19 456×	`lower-fma.f64`
19 456×	`lower-fma.f32`
18 460×	`lower-fma.f64`
18 460×	`lower-fma.f32`
9 118×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	276
0	77	268
1	286	246
2	1939	246
0	8315	240
0	226	3396
1	732	3199
2	2035	3157
3	5025	3112
4	7122	3112
0	8143	2940
0	130	701
1	419	669
2	1287	653
3	4307	636
4	5264	636
5	5830	636
6	6465	636
7	7750	636
0	8038	596
0	216	3462
1	683	3277
2	1847	3227
3	4345	3182
4	5670	3182
5	7940	3182
0	8127	3013
0	343	3674
1	1175	3367
2	3478	3273
3	7313	3270
0	8117	3070
0	58	370
0	92	343
1	366	318
2	1908	318
0	8579	313
0	42	195
0	71	191
1	249	154
2	1667	154
0	8631	154
0	11	34
0	18	30
1	59	26
2	397	24
0	4416	24

Stop Event

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

Compiler

Compiled 1 928 to 890 computations (53.8% saved)

preprocess174.0ms (1.9%)

Memory

-5.2MiB live, 268.1MiB allocated

Remove

(negabs re)

(abs im)

Compiler

Compiled 1 710 to 374 computations (78.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (14.9%)

explain188.0ms (2.1%)

preprocess111.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.2%)

localize36.0ms (0.4%)

series17.0ms (0.2%)

simplify290.0ms (3.2%)

rewrite152.0ms (1.7%)

eval42.0ms (0.5%)

prune54.0ms (0.6%)

simplify247.0ms (2.7%)

localize156.0ms (1.7%)

series34.0ms (0.4%)

simplify314.0ms (3.4%)

rewrite336.0ms (3.7%)

eval181.0ms (2%)

prune213.0ms (2.3%)

simplify70.0ms (0.8%)

localize291.0ms (3.2%)

series26.0ms (0.3%)

simplify270.0ms (2.9%)

rewrite323.0ms (3.5%)

eval152.0ms (1.7%)

prune195.0ms (2.1%)

simplify60.0ms (0.7%)

localize192.0ms (2.1%)

series23.0ms (0.3%)

simplify199.0ms (2.2%)

rewrite546.0ms (6%)

eval150.0ms (1.6%)

prune195.0ms (2.1%)

regimes111.0ms (1.2%)

regimes85.0ms (0.9%)

regimes86.0ms (0.9%)

regimes14.0ms (0.1%)

regimes66.0ms (0.7%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes49.0ms (0.5%)

regimes21.0ms (0.2%)

regimes22.0ms (0.2%)

regimes18.0ms (0.2%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes25.0ms (0.3%)

regimes11.0ms (0.1%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch4.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.2%)

soundness1.9s (21%)

preprocess174.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	38
0	18	34
1	34	34
2	76	34
3	113	34
4	139	34
5	163	34
6	182	34
7	182	34
8	184	34
9	189	34
10	189	34
0	189	34