Metrics for math.sin on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.1s (16.6%)

Memory

37.7MiB live, 2 014.4MiB allocated

Samples

844.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 618.0ms

ival-sin: 264.0ms (42.7% of total)

ival-exp: 139.0ms (22.5% of total)

ival-mult: 96.0ms (15.5% of total)

ival-add: 66.0ms (10.7% of total)

ival-sub: 34.0ms (5.5% of total)

exact: 9.0ms (1.5% of total)

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

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain134.0ms (2%)

Memory

6.0MiB live, 322.0MiB 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

46.0ms	510×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 94 to 37 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 11.0ms (35.8% of total)

ival-mult: 8.0ms (26% of total)

ival-exp: 7.0ms (22.8% of total)

ival-sub: 2.0ms (6.5% of total)

ival-add: 2.0ms (6.5% of total)

exact: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess107.0ms (1.6%)

Memory

-11.9MiB live, 73.3MiB 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 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))

Symmetry

(abs im)

(negabs re)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB 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)

simplify10.0ms (0.1%)

Memory

-17.3MiB live, 22.2MiB 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 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 (sin.f64 re) #s(literal 1/2 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
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.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)

localize30.0ms (0.4%)

Memory

36.0MiB live, 74.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 im)
accuracy	0.00390625	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
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

22.0ms	255×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 5.0ms (34% of total)

ival-mult: 4.0ms (27.2% of total)

ival-exp: 3.0ms (20.4% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% 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)

series10.0ms (0.1%)

Memory

-19.4MiB live, 19.7MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#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 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 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 (* 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)) (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 (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 (* 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)) (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 (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 (* -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 (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 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 1 (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 im) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* 1/2 im)))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (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 (+ (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) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (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 (+ (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 (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im))
1.0ms	im	@	inf	((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im))
1.0ms	im	@	0	((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im))
1.0ms	im	@	-inf	((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im))
1.0ms	re	@	inf	((- 0 im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (exp im))

simplify201.0ms (3%)

Memory

-0.8MiB live, 238.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 160×	`lower-fma.f64`
17 160×	`lower-fma.f32`
5 660×	`lower-*.f64`
5 660×	`lower-*.f32`
2 600×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	650
1	393	619
2	1236	603
3	4172	586
4	5082	586
5	5518	586
6	5831	586
7	6625	586
8	7725	586
0	8096	551

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

Inputs
(* 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 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))))
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))))
(* 1/2 (* (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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(sin re)
(sin re)
(sin re)
(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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(sin re)
(sin re)
(sin re)
(sin re)
(* -1 im)
(* -1 im)
(* -1 im)
(* -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)))))))
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)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* 1/2 (* (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)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(exp im)
(exp im)
(exp im)
(exp im)
(* -1 im)
(* -1 im)
(* -1 im)
(* -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 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(exp im)
(exp im)
(exp im)
(exp im)

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

rewrite105.0ms (1.6%)

Memory

-2.6MiB live, 139.2MiB 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	30
0	18	27
1	59	23
2	397	21
0	4416	21

Stop Event

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

Counts

6 → 209

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)

Outputs
(.f64 (/.f64 (.f64 im im) (*.f64 im im)) (neg.f64 im))
(.f64 (/.f64 (.f64 (.f64 im im) im) (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im)))) (.f64 (.f64 (*.f64 im im) im) im))
(.f64 (/.f64 (.f64 (.f64 (neg.f64 im) im) im) (neg.f64 (.f64 (.f64 (.f64 im im) im) im))) (*.f64 (neg.f64 im) im))
(.f64 (/.f64 (.f64 (.f64 (neg.f64 im) im) im) (.f64 (.f64 (.f64 im im) im) im)) (*.f64 im im))
(.f64 (/.f64 (.f64 (.f64 (neg.f64 im) im) im) (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) (.f64 (.f64 (*.f64 im im) im) im))
(.f64 (/.f64 (.f64 (.f64 im im) im) (neg.f64 (.f64 (.f64 (.f64 im im) im) im))) (*.f64 im im))
(.f64 (/.f64 (.f64 im im) (*.f64 (neg.f64 im) im)) im)
(.f64 (/.f64 (.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im))
(.f64 (/.f64 (.f64 im im) (.f64 (.f64 im im) im)) (*.f64 (neg.f64 im) im))
(.f64 (/.f64 (.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (/.f64 #s(literal 1 binary64) im) (.f64 (neg.f64 im) im))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (.f64 (neg.f64 im) im) im))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 im im))
(.f64 (.f64 (.f64 im im) im) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 im) im)))
(*.f64 #s(literal -1 binary64) im)
(.f64 (.f64 (neg.f64 im) im) (/.f64 #s(literal 1 binary64) im))
(.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (.f64 (.f64 (neg.f64 im) im) im) (/.f64 #s(literal 1 binary64) (.f64 im im)))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 im im) #s(literal -1 binary64)) im)
(/.f64 (/.f64 (.f64 im im) (.f64 (neg.f64 im) im)) (/.f64 #s(literal 1 binary64) im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 im im) im) im)) (/.f64 #s(literal 1 binary64) im)) (*.f64 im im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) (/.f64 #s(literal 1 binary64) im)) (.f64 (.f64 (*.f64 im im) im) im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 (*.f64 im im) im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im)) (.f64 (.f64 im im) im))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 (.f64 (.f64 (.f64 im im) im) im) (*.f64 im im)))
(/.f64 (.f64 (.f64 (.f64 (neg.f64 im) im) im) #s(literal 1 binary64)) (.f64 im im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal 1 binary64)) (.f64 (.f64 im im) im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 im im) im) im) im))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 im im) im) (.f64 im im)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im)) (.f64 (.f64 im im) im))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im)) (.f64 im im)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 im im) (.f64 (.f64 im im) im))) (.f64 (.f64 (*.f64 im im) im) im))
(/.f64 (.f64 (.f64 (neg.f64 im) im) #s(literal 1 binary64)) im)
(/.f64 (neg.f64 (.f64 (.f64 (.f64 im im) im) im)) (.f64 (*.f64 im im) im))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (/.f64 #s(literal 1 binary64) (*.f64 im im)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im)) (.f64 (.f64 im im) im))) (.f64 (.f64 im im) (.f64 (.f64 (.f64 (.f64 im im) im) im) (*.f64 im im))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) (.f64 im (.f64 (.f64 (*.f64 im im) im) im)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) (.f64 (.f64 im im) (.f64 (*.f64 im im) im)))
(/.f64 (.f64 (.f64 im im) im) (*.f64 (neg.f64 im) im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (*.f64 im im) (neg.f64 im))
(/.f64 (.f64 (.f64 (neg.f64 im) im) im) (*.f64 im im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(neg.f64 im)
(fma.f64 (/.f64 (.f64 im im) (.f64 im im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 im im) im) (neg.f64 (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im)))) (.f64 (.f64 (.f64 im im) im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 im) im) im) (neg.f64 (.f64 (.f64 (.f64 im im) im) im))) (.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 im) im) im) (.f64 (.f64 (.f64 im im) im) im)) (.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 (neg.f64 im) im) im) (.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 im im))) (.f64 (.f64 (.f64 im im) im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (.f64 im im) im) (neg.f64 (.f64 (.f64 (.f64 im im) im) im))) (.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im im) (.f64 (neg.f64 im) im)) im #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (neg.f64 im) im) (.f64 (neg.f64 im) im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 im im) (.f64 (.f64 im im) im)) (.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) im) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (*.f64 (neg.f64 im) im) 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 (.f64 im im) im) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) (/.f64 #s(literal 1 binary64) 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 (.f64 (neg.f64 im) im) im) (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
(.f64 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im))) (exp.f64 (.f64 #s(literal 3 binary64) im)))) (+.f64 (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)) (exp.f64 (*.f64 im #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im)))) (.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (.f64 im #s(literal -2 binary64)))) (pow.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (expm1.f64 (+.f64 im im))))
(.f64 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (expm1.f64 (+.f64 im im)) #s(literal 3 binary64)) (exp.f64 (.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))))) (fma.f64 (expm1.f64 (+.f64 im im)) (-.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64)))) (exp.f64 (fma.f64 im #s(literal -2 binary64) (*.f64 im #s(literal -2 binary64))))))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (cosh.f64 im))
(.f64 (.f64 (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (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))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(.f64 (.f64 (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (fma.f64 (pow.f64 (.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (-.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (.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 #s(literal 2 binary64) (.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)) #s(literal 1/2 binary64))
(.f64 (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(.f64 (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (/.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64))))))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64))))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(.f64 (.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(.f64 (sin.f64 re) (.f64 #s(literal 1 binary64) (cosh.f64 im)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64)))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im))))) (.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64))))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
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(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #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 (.f64 (.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (.f64 (exp.f64 (neg.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
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(/.f64 (.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) im) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (expm1.f64 (.f64 (+.f64 im im) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (exp.f64 (+.f64 im im)))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (-.f64 (exp.f64 (fma.f64 im #s(literal -2 binary64) (.f64 im #s(literal -2 binary64)))) (exp.f64 (fma.f64 #s(literal 2 binary64) im (+.f64 im im)))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (exp.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64))))))
(/.f64 (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 im im) #s(literal 3 binary64)))) (.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (+.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) im (+.f64 im im))) #s(literal 1 binary64)) (exp.f64 (fma.f64 im #s(literal -2 binary64) (*.f64 im #s(literal -2 binary64)))))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (+.f64 im im) #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64)))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im))) (exp.f64 (*.f64 #s(literal 3 binary64) im)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) im) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)) #s(literal 3 binary64)))) (.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64)))) (+.f64 (expm1.f64 (.f64 (+.f64 im im) #s(literal 3 binary64))) (exp.f64 (.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im))))) (neg.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64))))))
(/.f64 (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 im)) (-.f64 (exp.f64 (+.f64 im im)) (exp.f64 (.f64 im #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im)))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im))))) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64))))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 #s(literal 3 binary64) im)) (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im)))) (neg.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (*.f64 im #s(literal -2 binary64)))))))
(fma.f64 (/.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) (neg.f64 im))) (exp.f64 (.f64 #s(literal 3 binary64) im)))) (+.f64 (+.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)) (exp.f64 (.f64 im #s(literal -2 binary64)))) (neg.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (/.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (-.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (exp.f64 (+.f64 im im)))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (neg.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 im))) (exp.f64 im))
(fma.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (exp.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)) (exp.f64 im))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(fma.f64 (exp.f64 (neg.f64 im)) (/.f64 (exp.f64 (neg.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(fma.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64) (exp.f64 im))
(-.f64 (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (sinh.f64 im))) (/.f64 (exp.f64 (.f64 im #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(-.f64 (/.f64 (exp.f64 (*.f64 im #s(literal -2 binary64))) (-.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 im #s(literal -2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (neg.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)

eval33.0ms (0.5%)

Memory: -8.7MiB live, 66.6MiB allocated
Compiler: Compiled 6 224 to 819 computations (86.8% saved)

prune10.0ms (0.1%)

Memory

-6.5MiB live, 32.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	285	7	292
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	7	293

Accuracy

100.0%

Counts

293 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
▶	100.0%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
▶	95.1%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))))
▶	79.3%	(.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))))
▶	90.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	95.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) im) im) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))))
▶	57.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))

Compiler

Compiled 220 to 136 computations (38.2% saved)

simplify166.0ms (2.5%)

Memory

-15.9MiB live, 144.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

8 110×	`lower-fma.f32`
8 098×	`lower-fma.f64`
2 970×	`lower-*.f32`
2 956×	`lower-*.f64`
1 430×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	249
0	55	239
1	115	239
2	232	227
3	560	227
4	1205	224
5	1851	224
6	2702	224
7	3287	224
8	3719	224
9	4344	224
10	5403	224
11	7804	224
0	8017	221

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2.7%)

Memory

25.5MiB live, 186.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64))
accuracy	3.070641522451938	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64)))
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	2.121084955405335	(.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy	8.296409366609783	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
accuracy	0	(sin.f64 re)
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (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	13.05542645687077	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	0	(sin.f64 re)
accuracy	27.504100580590446	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
accuracy	0	(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy	0	(sin.f64 re)
accuracy	0	(cosh.f64 im)
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))

Samples

161.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 201 to 34 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 39.0ms (36.8% of total)

ival-mult: 30.0ms (28.3% of total)

ival-sub: 17.0ms (16% of total)

const: 8.0ms (7.5% of total)

ival-sin: 5.0ms (4.7% of total)

ival-exp: 3.0ms (2.8% of total)

ival-cosh: 3.0ms (2.8% 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)

series55.0ms (0.8%)

Memory

4.7MiB live, 45.7MiB allocated

Counts

16 → 264

Calls

Call 1

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

Outputs
#s(alt (* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#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 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) (taylor 0 re) (#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 (* 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 (.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 (* 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 (.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 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 (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#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 (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#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 (* 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 #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 (* 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 #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 (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#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 (* 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)) #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 (* 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)) #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 (* 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)) #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 (* 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 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<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 #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<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 #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<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 #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))))))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))))))))) (taylor 0 re) (#s(alt (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) (patch (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #<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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<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)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/24 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #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 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #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 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #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 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (patch (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/360 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/360 (* 1/12 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	re	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (+ (* 1/360 (* im im)) 1/12) (* im im)) 1))
3.0ms	im	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (+ (* 1/360 (* im im)) 1/12) (* im im)) 1))
3.0ms	re	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (+ (* 1/360 (* im im)) 1/12) (* im im)) 1))
2.0ms	im	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (+ (* 1/360 (* im im)) 1/12) (* im im)) 1))
2.0ms	re	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* 1/360 (* im im)) 1/12) (+ (* (+ (* 1/360 (* im im)) 1/12) (* im im)) 1))

simplify196.0ms (2.9%)

Memory

-20.8MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 068×	`lower-fma.f64`
11 068×	`lower-fma.f32`
4 118×	`lower-*.f64`
4 118×	`lower-*.f32`
3 420×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	3133
1	710	2964
2	2111	2895
3	5887	2836
4	6484	2836
0	8028	2645

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

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))))))))))
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))))
(* 1/2 (* 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 (* 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 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 (* 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))))))))))
(* 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)))))))))))))
(* 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) (/ 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)
(sin re)
(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 (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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (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)))))
(* (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))))))
(* 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) (/ 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)
(sin re)
(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 (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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (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)))))
(* (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))))))
(* 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
(+ 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)))))))
(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
(+ 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)))))))
(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)))))))
(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)))))))
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)))))))
(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)))))))
(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
(+ 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)))))
(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)))))))
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)))))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
1/12
(+ 1/12 (* 1/360 (pow im 2)))
(+ 1/12 (* 1/360 (pow im 2)))
(+ 1/12 (* 1/360 (pow im 2)))
1
(+ 1 (* 1/12 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (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 (* (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 (+ (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 (* (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)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (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)))))
(* 1/24 (* (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))
(* (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 (* (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)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(* 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 (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 4))
(* (pow im 4) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* (pow im 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 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 (* (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 (+ (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 (* (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 (* (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)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (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 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 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))
(* (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 (* (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)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(* 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 (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 4))
(* (pow im 4) (+ 1/360 (* 1/12 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* (pow im 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))

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

rewrite224.0ms (3.4%)

Memory

9.8MiB live, 243.5MiB allocated

Rules

6 278×	`lower-fma.f32`
6 266×	`lower-fma.f64`
3 766×	`lower-*.f32`
3 752×	`lower-*.f64`
3 468×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	191
0	55	181
1	214	161
2	1431	161
0	8445	161

Stop Event

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

Counts

16 → 352

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -1/2 binary64))
(.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 im)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
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eval129.0ms (1.9%)

Memory: -13.5MiB live, 186.0MiB allocated
Compiler: Compiled 17 417 to 1 322 computations (92.4% saved)

prune21.0ms (0.3%)

Memory

37.2MiB live, 76.1MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	675	12	687
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	679	15	694

Accuracy

100.0%

Counts

694 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
✓	79.3%	(.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))))
	57.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	57.7%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	57.0%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	67.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
	56.6%	(.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))))
	63.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) (.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))
✓	90.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
	63.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	57.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	64.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
	42.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
▶	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
▶	41.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))

Compiler

Compiled 534 to 279 computations (47.8% saved)

simplify34.0ms (0.5%)

Memory

-13.0MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
cost-diff	0	#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))

Rules

772×	`lower-fma.f32`
758×	`lower-fma.f64`
658×	`lower-*.f32`
640×	`lower-*.f64`
308×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	372
0	65	362
1	122	362
2	235	350
3	417	341
4	740	341
5	883	341
6	911	341
7	934	341
8	977	341
9	977	341
0	977	332

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 re re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 re re)
re
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 re re)
re
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(*.f64 re re)
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)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
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)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)

Outputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx (sin re) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal 1 binary64)
(cosh.f64 im)
im
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
(.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 re re)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
(.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 re re)
re
#s(literal 1 binary64)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 re re)
re
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #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 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(.f64 (fma.f64 #s(literal -1/12 binary64) (.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/12 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
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)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
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)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)

localize144.0ms (2.1%)

Memory

-1.9MiB live, 240.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
accuracy	0.05859375	(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
accuracy	13.05542645687077	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	25.30521171223692	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
accuracy	0.0625	(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
accuracy	0.078125	(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
accuracy	13.05542645687077	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	25.25743837283689	#s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
accuracy	0.05859375	(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
accuracy	25.305143668158976	#s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
accuracy	27.504100580590446	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
accuracy	0.078125	(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
accuracy	25.25738124800685	#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
accuracy	27.504100580590446	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
accuracy	0.078125	(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
accuracy	25.25738124800685	#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))

Samples

85.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 256 to 41 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 24.0ms (39.4% of total)

const: 11.0ms (18% of total)

ival-add: 10.0ms (16.4% of total)

ival-sin: 8.0ms (13.1% of total)

ival-exp: 3.0ms (4.9% of total)

ival-cosh: 3.0ms (4.9% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series29.0ms (0.4%)

Memory

21.3MiB live, 59.3MiB allocated

Counts

22 → 324

Calls

Call 1

Inputs
#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)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (patch #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re) (patch (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) (patch #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (patch #s(approx (* 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (patch (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) (patch #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) #<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 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (patch (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12))
4.0ms	re	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12))
3.0ms	re	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12))
1.0ms	im	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12))
1.0ms	im	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (+ (* -1/6 (* re re)) 1) re) (+ (* -1/6 (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (* re re) -1/12) 1/2) re) (+ (* (* re re) -1/12) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (+ (* 1/120 (* re re)) -1/6) (+ (exp (- 0 im)) (exp im)) (+ (* 1/240 (* re re)) -1/12))

simplify137.0ms (2%)

Memory

-25.4MiB live, 255.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 536×	`lower-fma.f64`
7 536×	`lower-fma.f32`
4 412×	`lower-*.f64`
4 412×	`lower-*.f32`
2 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	3390
1	653	3199
2	1842	3165
3	4386	3104
4	6198	3104
0	8106	2928

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

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))))))))))
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))))
(* 1/2 (* 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))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* -1/6 (pow re 2))))
1
(+ 1 (* -1/6 (pow re 2)))
(+ 1 (* -1/6 (pow re 2)))
(+ 1 (* -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))))))))))
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))))
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) (- (* 1/120 (pow re 2)) 1/6))))
1
(+ 1 (* -1/6 (pow re 2)))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))
(* 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 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 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))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* -1/12 (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 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 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) (- (* 1/240 (pow re 2)) 1/12))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
-1/6
(- (* 1/120 (pow re 2)) 1/6)
(- (* 1/120 (pow re 2)) 1/6)
(- (* 1/120 (pow re 2)) 1/6)
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* 1/240 (pow re 2)) 1/12)
(- (* 1/240 (pow re 2)) 1/12)
(* 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)
(sin re)
(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)))))
(* -1/6 (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 2))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* 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)
(sin re)
(sin re)
(* 1/120 (pow re 5))
(* (pow re 5) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* 1/120 (pow re 4))
(* (pow re 4) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* 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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* -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 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))
(* 1/2 (* (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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/120 (pow re 2))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* 1/240 (pow re 2))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* 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)
(sin re)
(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)))))
(* -1/6 (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))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* (pow re 2) (- (/ 1 (pow re 2)) 1/6))
(* 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)
(sin re)
(sin re)
(* 1/120 (pow re 5))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) 1/120)))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))))
(* -1 (* (pow re 5) (- (* 1/6 (/ 1 (pow re 2))) (+ 1/120 (/ 1 (pow re 4))))))
(* 1/120 (pow re 4))
(* (pow re 4) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/120 (/ 1 (pow re 4))) (* 1/6 (/ 1 (pow re 2)))))
(* 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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* -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))))))
(* -1/12 (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))
(* 1/2 (* (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))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/120 (pow re 2))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/120 (* 1/6 (/ 1 (pow re 2)))))
(* 1/240 (pow re 2))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
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)))))))
(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
(+ 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)))))))
(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)))))))
(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)))))))
(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)))))))
(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)))))))
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)))))))
(* 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 (* (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 (+ (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 (* (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)))))
(* 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)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg 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 (* (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 (+ (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 (* (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 (* (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 (* (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 (* (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)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))

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

rewrite160.0ms (2.4%)

Memory

10.9MiB live, 294.4MiB allocated

Rules

4 658×	`lower-*.f32`
4 640×	`lower-*.f64`
4 410×	`lower-/.f64`
4 410×	`lower-/.f32`
4 252×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	290
0	65	281
1	236	263
2	1551	263
0	8259	263

Stop Event

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

Counts

22 → 449

Calls

Call 1

Inputs
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(cosh.f64 im)
#s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))

Outputs
(.f64 (/.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1/2 binary64))
(.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(cosh.f64 im)
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(+.f64 (.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) (cosh.f64 im))
(.f64 (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (cosh.f64 im)) #s(literal 1 binary64))
(.f64 #s(approx (sin re) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (cosh.f64 im))
(.f64 (cosh.f64 im) (.f64 #s(literal 1 binary64) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (cosh.f64 im)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64))
(/.f64 (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) (.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(.f64 (/.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1/2 binary64))
(.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))) (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 im) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(cosh.f64 im)
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(+.f64 (.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
#s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) #s(literal -1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) re) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/6 binary64))))))
(.f64 (.f64 re (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(.f64 (.f64 re (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 re re) #s(literal -1/6 binary64))))))
(.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)
(.f64 re (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) (-.f64 (.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) (.f64 #s(literal 1 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (-.f64 (.f64 (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)) (.f64 (.f64 #s(literal 1 binary64) re) (.f64 (.f64 (.f64 re re) #s(literal -1/6 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) (-.f64 (.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64))) (.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) (.f64 re #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (-.f64 (.f64 (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64))) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (.f64 (.f64 re #s(literal 1 binary64)) (.f64 re (.f64 (.f64 re re) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) #s(literal -1 binary64)) re)) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) re)) (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 re (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal -1 binary64))))
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eval110.0ms (1.6%)

Memory: 11.4MiB live, 279.8MiB allocated
Compiler: Compiled 24 516 to 1 863 computations (92.4% saved)

prune40.0ms (0.6%)

Memory

2.9MiB live, 124.8MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	872	16	888
Fresh	3	4	7
Picked	4	1	5
Done	0	3	3
Total	879	24	903

Accuracy

100.0%

Counts

903 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))))
▶	70.1%	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
✓	79.3%	(.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))))
	63.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
	57.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	12.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
▶	56.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	10.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	67.1%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
	10.3%	(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/12 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	90.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	57.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
▶	64.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
▶	42.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
✓	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
	41.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
	36.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/6 binary64))))) re)))
	36.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
	41.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
	10.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
▶	35.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
	8.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 #s(literal -1/6 binary64) (.f64 re re))) re)))
	8.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))

Compiler

Compiled 823 to 428 computations (48% saved)

simplify180.0ms (2.7%)

Memory

-5.1MiB live, 199.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
cost-diff	0	#s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)
cost-diff	0	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))
cost-diff	0	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))
cost-diff	0	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
cost-diff	0	#s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))
cost-diff	0	(cosh.f64 im)
cost-diff	0	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
cost-diff	320	(*.f64 #s(literal 1 binary64) (cosh.f64 im))

Rules

12 714×	`lower-fma.f32`
12 702×	`lower-fma.f64`
3 326×	`lower-*.f32`
3 306×	`lower-*.f64`
2 086×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	479
0	90	470
1	170	470
2	317	452
3	746	449
4	1802	449
5	2852	449
6	3383	449
7	3613	449
8	3921	449
9	3956	449
10	3982	449
11	4885	449
12	5044	449
13	5190	449
14	5790	449
15	6477	449
0	8160	426

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
#s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))
(.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)
#s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64))
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)
#s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
re
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64))
#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)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 re re)
re
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)

Outputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (cosh.f64 im))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal 1 binary64)
(cosh.f64 im)
im
#s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))
(.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)
#s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64))
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)
#s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
re
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #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 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)))
#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64))
#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)
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 re re)
re
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)

localize138.0ms (2.1%)

Memory

-22.0MiB live, 298.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.041347509768442016	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))
accuracy	25.204238122701213	#s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
accuracy	27.504100580590446	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
accuracy	0.08203125	(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy	2.105459955405335	(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
accuracy	8.296409366609783	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
accuracy	20.83923175399377	#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
accuracy	0.0390625	(.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)
accuracy	13.05542645687077	#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy	25.100819531285875	#s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64))
accuracy	25.30521171223692	#s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))
accuracy	0.03515625	(.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)
accuracy	25.10040697433487	#s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64))
accuracy	25.305143668158976	#s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))
accuracy	27.504100580590446	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
accuracy	0.00390625	(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
accuracy	0.05859375	(.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)
accuracy	25.25738124800685	#s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))
accuracy	25.857372394422622	#s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64))

Samples

105.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 293 to 53 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 41.0ms (48.1% of total)

const: 17.0ms (19.9% of total)

ival-add: 13.0ms (15.2% of total)

ival-sin: 5.0ms (5.9% of total)

ival-cosh: 4.0ms (4.7% of total)

ival-exp: 3.0ms (3.5% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series33.0ms (0.5%)

Memory

26.2MiB live, 67.5MiB allocated

Counts

25 → 384

Calls

Call 1

Inputs
#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)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))) (patch (.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (patch #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)) (patch #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re) (patch (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) (patch #s(approx (* 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) (patch (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) (patch #s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) re))) (patch #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) re)) (patch #s(approx ( (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) re) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) (patch #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re) (patch (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 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 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	re	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) (+ (* -1/6 (* re re)) 1) (* (+ (* -1/6 (* re re)) 1) re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6))
3.0ms	re	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) (+ (* -1/6 (* re re)) 1) (* (+ (* -1/6 (* re re)) 1) re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6))
2.0ms	re	@	0	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) (+ (* -1/6 (* re re)) 1) (* (+ (* -1/6 (* re re)) 1) re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6))
2.0ms	im	@	inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) (+ (* -1/6 (* re re)) 1) (* (+ (* -1/6 (* re re)) 1) re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6))
2.0ms	im	@	-inf	((* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) re) (+ (* (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (* re re)) 1) (+ (* -1/6 (* re re)) 1) (* (+ (* -1/6 (* re re)) 1) re) (+ (exp (- 0 im)) (exp im)) (+ (* 1/24 (* im im)) 1/2) (+ (* (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6))

simplify178.0ms (2.7%)

Memory

1.0MiB live, 270.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 322×	`lower-fma.f64`
15 322×	`lower-fma.f32`
6 042×	`lower-+.f64`
6 042×	`lower-+.f32`
5 060×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	4545
1	940	4334
2	2809	4235
3	7219	4231
0	8015	3983

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 377

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

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

rewrite185.0ms (2.8%)

Memory

4.6MiB live, 242.2MiB allocated

Rules

6 172×	`lower-fma.f32`
6 160×	`lower-fma.f64`
4 290×	`lower-*.f32`
4 270×	`lower-*.f64`
3 402×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	444
0	90	435
1	328	413
2	2220	413
0	8640	393

Stop Event

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

Counts

25 → 249

Calls

Call 1

Inputs
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(cosh.f64 im)
#s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)
#s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)
#s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))

Outputs
(.f64 (/.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(cosh.f64 im)
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(+.f64 (.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(.f64 (.f64 #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) #s(literal 1 binary64)) (cosh.f64 im))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))) (cosh.f64 im))
(.f64 (.f64 #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (cosh.f64 im)) #s(literal 1 binary64))
(.f64 #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (cosh.f64 im))
(.f64 (cosh.f64 im) (.f64 #s(literal 1 binary64) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (cosh.f64 im)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))) #s(literal 2 binary64))
(/.f64 (.f64 #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(.f64 (/.f64 (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64))
(*.f64 (cosh.f64 im) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (cosh.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im)))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (exp.f64 (+.f64 im im))) (*.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (+.f64 (exp.f64 (.f64 im #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (expm1.f64 (+.f64 im im)) (exp.f64 (-.f64 (neg.f64 im) im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))))
(fma.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im) (*.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64)) (*.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
(cosh.f64 im)
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (exp.f64 (+.f64 im im)) (.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 im) im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (+.f64 im im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (.f64 (cosh.f64 #s(literal 0 binary64)) (cosh.f64 im)) (.f64 (sinh.f64 #s(literal 0 binary64)) (sinh.f64 im)))
(+.f64 (.f64 (cosh.f64 im) (cosh.f64 #s(literal 0 binary64))) (.f64 (sinh.f64 im) (sinh.f64 #s(literal 0 binary64))))
#s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)
(.f64 re #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64))
(.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re))
(.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)
(.f64 re #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 #s(literal -1/6 binary64) re)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)))) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) re)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)))) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (*.f64 #s(literal -1/6 binary64) re))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 #s(literal -1/6 binary64) re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 #s(literal -1/6 binary64) re)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)))) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (*.f64 #s(literal -1/6 binary64) re)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 #s(literal -1/6 binary64) re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 #s(literal -1/6 binary64) re)))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re)) (.f64 (.f64 re re) re) #s(literal -1/216 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) re #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64))
(fma.f64 (.f64 re re) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 re (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) re) re))) (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)))) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) re) re))

eval79.0ms (1.2%)

Memory: -19.6MiB live, 135.8MiB allocated
Compiler: Compiled 15 802 to 993 computations (93.7% saved)

prune61.0ms (0.9%)

Memory

-15.6MiB live, 157.0MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	616	10	626
Fresh	3	12	15
Picked	2	3	5
Done	0	4	4
Total	621	29	650

Accuracy

100.0%

Counts

650 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.3%	(.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))))
	70.1%	(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
	67.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
	63.1%	(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
	57.8%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	12.9%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	56.6%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	10.3%	(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 binary64))) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
	10.3%	(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/12 binary64)))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
✓	90.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
✓	57.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
	64.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
	40.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
	64.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
	64.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
	30.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
	31.8%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
	28.5%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
✓	42.7%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
✓	42.6%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
	41.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) re)))
	42.4%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
	36.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 re re) #s(literal -1/6 binary64))))) re)))
	36.0%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
	41.1%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
✓	35.9%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
	8.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.f64 #s(literal -1/6 binary64) (.f64 re re))) re)))
	8.3%	#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))

Compiler

Compiled 1 334 to 446 computations (66.6% saved)

regimes78.0ms (1.2%)

Memory

9.6MiB live, 128.2MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) 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 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 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 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) im) im) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) (.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))
(.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) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))

Calls

6 calls:

14.0ms	re
14.0ms	(sin.f64 re)
13.0ms	(*.f64 #s(literal 1/2 binary64) (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)

regimes75.0ms (1.1%)

Memory

-4.9MiB live, 110.7MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) 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 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 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 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) im) im) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 im im)) (.f64 im im) #s(literal -1 binary64)) (sin.f64 re)) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64))))

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`re`
99.2%	3	`im`
98.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
95.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
95.1%	1	`(sin.f64 re)`
95.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes13.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) 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 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))))

Outputs

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

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

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
98.9%	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 14 to 11 computations (21.4% saved)

regimes12.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) 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 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

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

Calls

1 calls:

10.0ms

(*.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%	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)

regimes16.0ms (0.2%)

Memory

-22.1MiB live, 16.8MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) 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 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 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 (cosh.f64 im) #s(approx (sin re) (*.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))

Calls

1 calls:

14.0ms

(*.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
99.9%	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)

regimes26.0ms (0.4%)

Memory

-8.4MiB live, 28.6MiB allocated

Counts

36 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (sin.f64 re))

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

Calls

2 calls:

10.0ms	re
10.0ms	(.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
81.6%	2	`re`
99.6%	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 17 to 13 computations (23.5% saved)

regimes51.0ms (0.8%)

Memory

25.1MiB live, 61.9MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))))

Calls

5 calls:

13.0ms	(sin.f64 re)
10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms	im
9.0ms	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))

Results

Accuracy	Segments	Branch
79.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
79.9%	2	`(sin.f64 re)`
88.0%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
88.0%	2	`im`
96.6%	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 36 to 28 computations (22.2% saved)

regimes65.0ms (1%)

Memory

-8.2MiB live, 72.2MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (.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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im)) (.f64 im im) #s(literal -1 binary64)) re) (fma.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/36 binary64)) (.f64 (.f64 re re) #s(literal -1/6 binary64)))) (fma.f64 (.f64 (.f64 (.f64 re re) re) #s(literal -1/216 binary64)) (.f64 (.f64 re re) re) #s(literal 1 binary64)))) re)))

Outputs

(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (*.f64 im im) #s(literal 1 binary64)) (*.f64 im im) #s(literal 2 binary64))))

Calls

6 calls:

14.0ms	(sin.f64 re)
11.0ms	(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
10.0ms	re
10.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms	im

Results

Accuracy	Segments	Branch
76.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
76.0%	2	`(sin.f64 re)`
67.1%	1	`re`
67.1%	1	`im`
67.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
76.2%	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)

regimes30.0ms (0.4%)

Memory

-3.0MiB live, 34.6MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64))))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64))) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) #s(literal 1/24 binary64)) (.f64 (.f64 im im) (*.f64 im im)))) re)))

Outputs

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

Calls

3 calls:

11.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
8.0ms	(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)))

Results

Accuracy	Segments	Branch
75.3%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
75.3%	2	`(sin.f64 re)`
75.4%	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 24 to 19 computations (20.8% saved)

regimes27.0ms (0.4%)

Memory

-7.0MiB live, 30.7MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #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))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))

Outputs

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

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

Calls

3 calls:

8.0ms	(sin.f64 re)
7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	(.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
72.5%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.5%	2	`(sin.f64 re)`
72.5%	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)

regimes23.0ms (0.3%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) re) re) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) im) im) re (.f64 #s(literal 1 binary64) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(approx (+ ( (+ (* -1/5040 (* re re)) 1/120) (* re re)) -1/6) (.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 re re)) re) re)) (*.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/240 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) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 re re) #s(literal 1/120 binary64)) (.f64 re re) #s(literal -1/6 binary64)) (.f64 re re) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))

Outputs

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

Calls

3 calls:

7.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms	(sin.f64 re)
7.0ms	(.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
72.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.4%	2	`(sin.f64 re)`
72.5%	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)

regimes20.0ms (0.3%)

Memory

-15.0MiB live, 22.7MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) im) im #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))

Outputs

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

Calls

3 calls:

8.0ms	(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
72.4%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.4%	2	`(sin.f64 re)`
72.4%	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 24 to 19 computations (20.8% saved)

regimes15.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))
(.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (*.f64 re re) 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(approx (+ ( (* re re) -1/12) 1/2) (.f64 (.f64 re re) #s(literal -1/12 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) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 re re) #s(literal -1/6 binary64)) (*.f64 re re) #s(literal 1 binary64)) re)))

Outputs

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

Calls

3 calls:

5.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms	(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
72.2%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
72.2%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
72.2%	2	`(sin.f64 re)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes19.0ms (0.3%)

Memory

-25.7MiB live, 18.5MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re)))

Outputs

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

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

Calls

3 calls:

10.0ms	(*.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)))
4.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
70.1%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
70.0%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
70.0%	2	`(sin.f64 re)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re)))

Outputs

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

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

Calls

1 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)))

Results

Accuracy	Segments	Branch
70.0%	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 14 to 11 computations (21.4% saved)

regimes23.0ms (0.3%)

Memory

-4.7MiB live, 33.3MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im))))

Outputs

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

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

Calls

6 calls:

6.0ms	re
3.0ms	im
3.0ms	(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms	(sin.f64 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
60.9%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
58.2%	2	`re`
60.9%	2	`im`
62.6%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
62.6%	2	`(sin.f64 re)`
66.7%	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)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (*.f64 re re) re) #s(literal -1/6 binary64)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) (.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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) re #s(literal 1 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))))
(.f64 #s(approx ( 1/2 (sin re)) (.f64 #s(approx (+ ( (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) #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) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal 1/120 binary64))) re)))

Outputs

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

Calls

1 calls:

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
62.6%	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 14 to 11 computations (21.4% saved)

regimes15.0ms (0.2%)

Memory

-6.1MiB live, 33.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
41.1%	1	`re`
41.1%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
41.1%	1	`im`
41.1%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
41.1%	1	`(sin.f64 re)`
41.1%	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)

regimes12.0ms (0.2%)

Memory

-6.6MiB live, 32.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

6 calls:

2.0ms	re
2.0ms	im
2.0ms	(*.f64 #s(literal 1/2 binary64) (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)))
2.0ms	(sin.f64 re)

Results

Accuracy	Segments	Branch
41.0%	2	`re`
41.9%	2	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
41.9%	2	`(sin.f64 re)`
40.8%	2	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
41.9%	2	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))`
40.9%	2	`im`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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	im
1.0ms	re

Results

Accuracy	Segments	Branch
35.9%	1	`(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))`
35.9%	1	`im`
35.9%	1	`re`
35.9%	1	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
35.9%	1	`(sin.f64 re)`
35.9%	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)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9984672457752745	+inf

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	0.9984672457752745	+inf

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9984672457752745	+inf
0.0ms	-inf	-0.9999865741842243

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9984672457752745	+inf
0.0ms	-inf	-0.9999865741842243

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9984672457752745	+inf
0.0ms	-inf	-0.9999865741842243

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9984672457752745	+inf
0.0ms	-inf	-0.9999865741842243

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	0.288078456453466	0.2915487971103184

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	0.288078456453466	0.2915487971103184

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	0.288078456453466	0.2915487971103184

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.288078456453466	0.2915487971103184

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	-0.014161907907459395	1.617434851001605e-309

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	-0.014161907907459395	1.617434851001605e-309

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.288078456453466	0.2915487971103184

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.288078456453466	0.2915487971103184

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.288078456453466	0.2915487971103184

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.61743485100161e-309	1.3708472549884286e-303

Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.014161907907459395	1.61743485100161e-309

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify15.0ms (0.2%)

Memory

-18.9MiB live, 23.6MiB allocated

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub0-neg_binary64`
2×	`*-lft-identity_binary64`
2×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1547
1	207	1547
2	210	1547
3	211	1547

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (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 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) im) im) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))) (.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 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 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))) (.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) (.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ ( -1/6 (* re re)) 1) #s(literal 1 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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 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 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 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 -inf.0 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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 1 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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 5224175567749775/18014398509481984 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #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(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 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 5224175567749775/18014398509481984 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (.f64 re re) 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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (.f64 re re) 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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) 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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im)))))
(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 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (.f64 re re) re) #s(literal -1/6 binary64))))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))

Outputs
(.f64 (.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(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 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) im) im) (fma.f64 (.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))) (.f64 (cosh.f64 im) #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 im im) #s(literal 1/24 binary64)) (.f64 (.f64 (.f64 im im) im) im) (fma.f64 (.f64 #s(literal 1/2 binary64) im) im #s(literal 1 binary64))) (sin.f64 re))) (.f64 #s(approx (sin re) (.f64 #s(approx (+ (* -1/6 (* re re)) 1) #s(literal 1 binary64)) re)) (cosh.f64 im)))
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(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5224175567749775/18014398509481984 binary64)) (.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (.f64 re re) #s(literal 1/240 binary64)) (.f64 re re) #s(literal -1/12 binary64)) (.f64 re re) #s(literal 1/2 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 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (.f64 im im) #s(literal 1/12 binary64)) (.f64 im im) #s(literal 1 binary64)) (.f64 im im) #s(literal 2 binary64)))))
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(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (.f64 #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (.f64 im im) #s(literal 1 binary64)))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 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 5224175567749775/18014398509481984 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5224175567749775/18014398509481984 binary64)) (.f64 #s(approx ( 1/2 (sin re)) (.f64 (fma.f64 (.f64 re re) #s(literal -1/12 binary64) #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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (.f64 re re) 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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/576460752303423488 binary64)) (.f64 #s(approx ( 1/2 (sin re)) #s(approx (* (+ (* (* re re) -1/12) 1/2) re) (.f64 (.f64 (.f64 re re) 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) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 (fma.f64 #s(approx (+ ( 1/24 (* im im)) 1/2) (.f64 #s(literal 1/24 binary64) (.f64 im im))) (*.f64 im im) #s(literal 1 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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) (.f64 #s(approx (+ ( (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 im im)) im) im)) 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 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5224175567749775/18014398509481984 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 binary64)) re))) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (* (sin re) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1)) #s(approx (* (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) re) (.f64 (.f64 (.f64 (.f64 (*.f64 im im) re) #s(literal 1/24 binary64)) im) im)))))
(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 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 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)))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 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)))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 re re) #s(literal 1 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 -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (.f64 re re) re) #s(literal -1/6 binary64))))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))))
(if (<=.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) #s(approx (* (+ (* -1/6 (* re re)) 1) re) (.f64 (.f64 (.f64 re re) re) #s(literal -1/6 binary64))))) #s(approx ( (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re))))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) #s(approx (sin re) (.f64 #s(approx (+ ( (+ (* 1/120 (* re re)) -1/6) (* re re)) 1) #s(literal 1 binary64)) re)))

soundness1.8s (26.6%)

Memory

11.1MiB live, 1 173.3MiB allocated

Rules

17 160×	`lower-fma.f64`
17 160×	`lower-fma.f32`
15 322×	`lower-fma.f64`
15 322×	`lower-fma.f32`
11 068×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	444
0	90	435
1	328	413
2	2220	413
0	8640	393
0	120	650
1	393	619
2	1236	603
3	4172	586
4	5082	586
5	5518	586
6	5831	586
7	6625	586
8	7725	586
0	8096	551
0	199	3133
1	710	2964
2	2111	2895
3	5887	2836
4	6484	2836
0	8028	2645
0	289	4545
1	940	4334
2	2809	4235
3	7219	4231
0	8015	3983
0	11	30
0	18	27
1	59	23
2	397	21
0	4416	21
0	204	3390
1	653	3199
2	1842	3165
3	4386	3104
4	6198	3104
0	8106	2928

Stop Event

1×	fuel
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

Compiler

Compiled 1 949 to 791 computations (59.4% saved)

preprocess122.0ms (1.8%)

Memory

-7.5MiB live, 226.6MiB allocated

Remove

(negabs re)

(abs im)

Compiler

Compiled 1 814 to 266 computations (85.3% 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	41	372
0	65	362
1	122	362
2	235	350
3	417	341
4	740	341
5	883	341
6	911	341
7	934	341
8	977	341
9	977	341
0	977	332

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	41	372
0	65	362
1	122	362
2	235	350
3	417	341
4	740	341
5	883	341
6	911	341
7	934	341
8	977	341
9	977	341
0	977	332

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (16.6%)

explain134.0ms (2%)

preprocess107.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize30.0ms (0.4%)

series10.0ms (0.1%)

simplify201.0ms (3%)

rewrite105.0ms (1.6%)

eval33.0ms (0.5%)

prune10.0ms (0.1%)

simplify166.0ms (2.5%)

localize182.0ms (2.7%)

series55.0ms (0.8%)

simplify196.0ms (2.9%)

rewrite224.0ms (3.4%)

eval129.0ms (1.9%)

prune21.0ms (0.3%)

simplify34.0ms (0.5%)

localize144.0ms (2.1%)

series29.0ms (0.4%)

simplify137.0ms (2%)

rewrite160.0ms (2.4%)

eval110.0ms (1.6%)

prune40.0ms (0.6%)

simplify180.0ms (2.7%)

localize138.0ms (2.1%)

series33.0ms (0.5%)

simplify178.0ms (2.7%)

rewrite185.0ms (2.8%)

eval79.0ms (1.2%)

prune61.0ms (0.9%)

regimes78.0ms (1.2%)

regimes75.0ms (1.1%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes16.0ms (0.2%)

regimes26.0ms (0.4%)

regimes51.0ms (0.8%)

regimes65.0ms (1%)

regimes30.0ms (0.4%)

regimes27.0ms (0.4%)

regimes23.0ms (0.3%)

regimes20.0ms (0.3%)

regimes15.0ms (0.2%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

regimes23.0ms (0.3%)

regimes4.0ms (0.1%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

soundness1.8s (26.6%)

preprocess122.0ms (1.8%)

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

Iter	Nodes	Cost
0	41	372
0	65	362
1	122	362
2	235	350
3	417	341
4	740	341
5	883	341
6	911	341
7	934	341
8	977	341
9	977	341
0	977	332